60x prime divisors of 2^prime -2 = 2^30,402,457 -2.(Mersenne.)

Discussion in 'General Math' started by don.lotto, Dec 27, 2005.

  1. don.lotto

    don.lotto Guest

    Tue,27 Dec 2005.00:13:32
    27.12.05 02:19 sent.

    NZ mathematics Magaz
    ...Mike T, ed., .


    BBC Basic V Progm $..calc.factors.lgefactor.PrimeCabi,
    /6/94, /3/95 3.05.98
    31.8.02, 5.01.04

    by Donald S McDonald, NEWTOWN, Wellington 2
    New Zealand. Phone 64(NZ) +4(WN-) + 389-6820.


    (Sixty )
    60x prime divisors of 2^prime -2 = 2^30,402,457 -2.(Mersenne.)

    1 less than 43 rd known mersenne prime just announced.


    DEC2005.ListOFound :
    X 2 X 3.

    X 5
    X 7
    X 13
    X 17
    X 29
    X 43
    X 113
    X 127
    X 149
    X 223
    X 241
    X 269
    X 293
    X 337
    X 439
    X 593
    X 877
    X 1429
    X 1609
    X 1753
    X 1777
    X 1877
    X 2011
    X 3067
    X 3109
    X 3217
    X 3331
    X 3361
    X 3943
    X 4663
    X 5419
    X 6133
    X 6217
    X 9649
    X 9929
    X 10453
    X 11257
    X 12433
    X 14071
    X 14449
    X 15541
    X 17539
    X 18397
    X 21757
    X 22111
    X 29347
    X 32413
    X 33769
    X 36793
    X 44623
    X 45553
    X 49057
    X 52561
    X 58693
    X 59497
    X 67537
    X 75041
    X 75629
    X 92353


    Solve for (odd) factors, p <= 2^16.5 = 92,681.
    of Large Numbers > 2E9 of special type ..

    ABS( C * a^b -i ) <= n MOD p, Progm "PrimeCabi"
    multiplier * (base ^ index) + offset <= neighbourhood.


    find (first)factors p, satisfying , S% = M 30402457
    ABS( 1. * 2. ^ 30402457. + 0. )
    <= 99. MOD p.


    ...D.Calc.Factors.FermatMers.Mersenne.DEC2005.60divsM3e7
    ... this file.


    DEC2005.RAMCABI :
    S% = 2 factor = 9 FIRST = 3 * 3 contin cs.= 2681
    S% = 2 factor = 5 PRIME. (test dup. factors).
    S% = 2 factor = 7 PRIME. (test dup. factors).
    S% = 2 factor = 49 = 7 * 7 contin cs.= 6551
    S% = 2 factor = 9 = 3 * 3 contin cs.= 7648
    S% = 2 factor = 13 PRIME. ().
    S% = 2 factor = 15 = 3 * 5 contin cs.= 8538
    S% = 2 factor = 17 PRIME. ().
    S% = 2 factor = 21 = 3 * 7 cs.= 10254
    S% = 2 factor = 29 PRIME. ().
    S% = 2 factor = 35 = 5 * 7 cs.= 12210
    S% = 2 factor = 39 = 3 * 13 cs.= 12361
    S% = 2 factor = 43 PRIME. ().
    S% = 2 factor = 45 = 3 * 15 = 5 * 9 cs.= 12659
    S% = 2 factor = 49 = 7 * 7 cs.= 12805
    S% = 2 factor = 113 PRIME. (). cs.= 15063
    S% = 2 factor = 127 PRIME. (). cs.= 15140
    S% = 2 factor = 149 PRIME. (). cs.= 15441
    S% = 2 factor = 223 PRIME. (). cs.= 16695
    S% = 2 factor = 241 PRIME. (). cs.= 16935
    S% = 2 factor = 269 PRIME. (). cs.= 17179
    S% = 2 factor = 293 PRIME. (). cs.= 17575
    S% = 2 factor = 337 PRIME. (). cs.= 17985
    S% = 2 factor = 439 PRIME. (). cs.= 20595
    S% = 2 factor = 493 = 17 * 29 cs.= 21119
    S% = 2 factor = 593 PRIME. (). cs.= 21324
    S% = 2 factor = 731 = 17 * 43 cs.= 21413
    S% = 2 factor = 877 PRIME. (). cs.= 21729
    S% = 2 factor = 1247 = 29 * 43 cs.= 21863
    S% = 2 factor = 1429 PRIME. (). cs.= 21910
    S% = 2 factor = 1609 PRIME. (). cs.= 22108
    S% = 2 factor = 1753 PRIME. (). cs.= 22149
    S% = 2 factor = 1777 PRIME. (). cs.= 22155
    S% = 2 factor = 1877 PRIME. (). cs.= 22182
    S% = 2 factor = 1921 = 17 * 113 cs.= 22195
    S% = 2 factor = 2011 PRIME. (). cs.= 22218
    S% = 2 factor = 2159 = 17 * 127 cs.= 22264
    S% = 2 factor = 2533 = 17 * 149 cs.= 22368
    S% = 2 factor = 3067 PRIME. (). cs.= 22505
    S% = 2 factor = 3109 PRIME. (). cs.= 22517
    S% = 2 factor = 3217 PRIME. (). cs.= 22546
    S% = 2 factor = 3277 = 29 * 113 cs.= 22562
    S% = 2 factor = 3331 PRIME. (). cs.= 22579
    S% = 2 factor = 3361 PRIME. (). cs.= 22588
    S% = 2 factor = 3683 = 29 * 127 cs.= 22672
    S% = 2 factor = 3791 = 17 * 223 cs.= 22700
    S% = 2 factor = 3943 PRIME. (). cs.= 22741
    S% = 2 factor = 4097 = 17 * 241 cs.= 22783
    S% = 2 factor = 4321 = 29 * 149 cs.= 22841
    S% = 2 factor = 4573 = 17 * 269 cs.= 22909
    S% = 2 factor = 4663 PRIME. (). cs.= 22934
    S% = 2 factor = 4859 = 43 * 113 cs.= 22984
    S% = 2 factor = 4981 = 17 * 293 cs.= 23013
    S% = 2 factor = 5419 PRIME. (). cs.= 23128
    S% = 2 factor = 5461 = 43 * 127 cs.= 23139
    S% = 2 factor = 5729 = 17 * 337 cs.= 23212
    S% = 2 factor = 6133 PRIME. (). cs.= 23315
    S% = 2 factor = 6217 PRIME. (). cs.= 23336
    S% = 2 factor = 6407 = 43 * 149 cs.= 23385
    S% = 2 factor = 6467 = 29 * 223 cs.= 23400
    S% = 2 factor = 6989 = 29 * 241 cs.= 23536
    S% = 2 factor = 7463 = 17 * 439 cs.= 23658
    S% = 2 factor = 7801 = 29 * 269 cs.= 23745
    S% = 2 factor = 8497 = 29 * 293 cs.= 23916
    S% = 2 factor = 9589 = 43 * 223 cs.= 24186
    S% = 2 factor = 9649 PRIME. (). cs.= 24204
    S% = 2 factor = 9773 = 29 * 337 cs.= 24235
    S% = 2 factor = 9929 PRIME. (). cs.= 24275
    S% = 2 factor = 10081 = 17 * 593 cs.= 24313
    S% = 2 factor = 10363 = 43 * 241 cs.= 24387
    S% = 2 factor = 10453 PRIME. (). cs.= 24408
    S% = 2 factor = 11257 PRIME. (). cs.= 24610
    S% = 2 factor = 11567 = 43 * 269 cs.= 24686
    S% = 2 factor = 12433 PRIME. (). cs.= 24903
    S% = 2 factor = 12599 = 43 * 293 cs.= 24947
    S% = 2 factor = 12731 = 29 * 439 cs.= 24981
    S% = 2 factor = 14071 PRIME. (). cs.= 25321
    S% = 2 factor = 14351 = 113 * 127 cs.= 25389
    S% = 2 factor = 14449 PRIME. (). cs.= 25415
    S% = 2 factor = 14491 = 43 * 337 cs.= 25428
    S% = 2 factor = 14909 = 17 * 877 cs.= 25533
    S% = 2 factor = 15541 PRIME. (). cs.= 25687
    S% = 2 factor = 16837 = 113 * 149 cs.= 26010
    S% = 2 factor = 17197 = 29 * 593 cs.= 26098
    S% = 2 factor = 17539 PRIME. (). cs.= 26187
    S% = 2 factor = 18397 PRIME. (). cs.= 26398
    S% = 2 factor = 18877 = 43 * 439 cs.= 28713
    S% = 2 factor = 18923 = 127 * 149 cs.= 28725
    S% = 2 factor = 21199 = 17 * 1247 = 29 * 731 = 43 * 493 cs.=
    29284
    S% = 2 factor = 21757 PRIME. (). cs.= 29425
    S% = 2 factor = 22111 PRIME. (). cs.= 29515
    S% = 2 factor = 24293 = 17 * 1429 cs.= 30045
    S% = 2 factor = 25199 = 113 * 223 cs.= 30269
    S% = 2 factor = 25433 = 29 * 877 cs.= 30329
    S% = 2 factor = 25499 = 43 * 593 cs.= 30347
    S% = 2 factor = 27233 = 113 * 241 cs.= 30771
    S% = 2 factor = 27353 = 17 * 1609 cs.= 30804
    S% = 2 factor = 28321 = 127 * 223 cs.= 31043
    S% = 2 factor = 29347 PRIME. (). cs.= 31295
    S% = 2 factor = 29801 = 17 * 1753 cs.= 31406
    S% = 2 factor = 30209 = 17 * 1777 cs.= 31509
    S% = 2 factor = 30397 = 113 * 269 cs.= 31556
    S% = 2 factor = 30607 = 127 * 241 cs.= 31607
    S% = 2 factor = 31909 = 17 * 1877 cs.= 31932
    S% = 2 factor = 32413 PRIME. (). cs.= 32057
    S% = 2 factor = 33109 = 113 * 293 cs.= 32229
    S% = 2 factor = 33227 = 149 * 223 cs.= 32260
    S% = 2 factor = 33769 PRIME. (). cs.= 32396
    S% = 2 factor = 34163 = 127 * 269 cs.= 32492
    S% = 2 factor = 34187 = 17 * 2011 cs.= 32499
    S% = 2 factor = 35909 = 149 * 241 cs.= 32915
    S% = 2 factor = 36793 PRIME. (). cs.= 33139
    S% = 2 factor = 37211 = 127 * 293 cs.= 33240
    S% = 2 factor = 37711 = 43 * 877 cs.= 33362
    S% = 2 factor = 38081 = 113 * 337 cs.= 33452
    S% = 2 factor = 40081 = 149 * 269 cs.= 33935
    S% = 2 factor = 41441 = 29 * 1429 cs.= 34268
    S% = 2 factor = 42799 = 127 * 337 cs.= 34600
    S% = 2 factor = 43657 = 149 * 293 cs.= 34812
    S% = 2 factor = 44623 PRIME. (). cs.= 35054
    S% = 2 factor = 45553 PRIME. (). cs.= 35281
    S% = 2 factor = 46661 = 29 * 1609 cs.= 35564
    S% = 2 factor = 49057 PRIME. (). cs.= 36258
    S% = 2 factor = 49607 = 113 * 439 cs.= 36423
    S% = 2 factor = 50213 = 149 * 337 cs.= 36605
    S% = 2 factor = 50837 = 29 * 1753 cs.= 36789
    S% = 2 factor = 51533 = 29 * 1777 cs.= 36996
    S% = 2 factor = 52139 = 17 * 3067 cs.= 37175
    S% = 2 factor = 52561 PRIME. (). cs.= 37303
    S% = 2 factor = 52853 = 17 * 3109 cs.= 37389
    S% = 2 factor = 53743 = 223 * 241 cs.= 37656
    S% = 2 factor = 54433 = 29 * 1877 cs.= 37866
    S% = 2 factor = 54689 = 17 * 3217 cs.= 37947
    S% = 2 factor = 55709 = 17 * 3277 = 29 * 1921 = 113 * 493 cs.=
    38251
    S% = 2 factor = 55753 = 127 * 439 cs.= 38269
    S% = 2 factor = 56627 = 17 * 3331 cs.= 38532
    S% = 2 factor = 57137 = 17 * 3361 cs.= 38688
    S% = 2 factor = 58319 = 29 * 2011 cs.= 39048
    S% = 2 factor = 58693 PRIME. (). cs.= 39165
    S% = 2 factor = 59497 PRIME. (). cs.= 39412
    S% = 2 factor = 59987 = 223 * 269 cs.= 39558
    S% = 2 factor = 61447 = 43 * 1429 cs.= 40006
    S% = 2 factor = 62611 = 17 * 3683 = 29 * 2159 = 127 * 493 cs.=
    40367
    S% = 2 factor = 64829 = 241 * 269 cs.= 41051
    S% = 2 factor = 65339 = 223 * 293 cs.= 41209
    S% = 2 factor = 65411 = 149 * 439 cs.= 41234
    S% = 2 factor = 67009 = 113 * 593 cs.= 41732
    S% = 2 factor = 67031 = 17 * 3943 cs.= 41742
    S% = 2 factor = 67537 PRIME. (). cs.= 41899
    S% = 2 factor = 69187 = 43 * 1609 cs.= 42417
    S% = 2 factor = 70613 = 241 * 293 cs.= 42869
    S% = 2 factor = 73457 = 17 * 4321 = 29 * 2533 = 149 * 493 cs.=
    43762
    S% = 2 factor = 75041 PRIME. (). cs.= 44266
    S% = 2 factor = 75151 = 223 * 337 cs.= 44299
    S% = 2 factor = 75311 = 127 * 593 cs.= 44354
    S% = 2 factor = 75379 = 43 * 1753 cs.= 44381
    S% = 2 factor = 75629 PRIME. (). cs.= 44463
    S% = 2 factor = 76411 = 43 * 1777 cs.= 44716
    S% = 2 factor = 78817 = 269 * 293 cs.= 45481
    S% = 2 factor = 79271 = 17 * 4663 cs.= 45626
    S% = 2 factor = 80711 = 43 * 1877 cs.= 46088
    S% = 2 factor = 81217 = 241 * 337 cs.= 46249
    S% = 2 factor = 82603 = 17 * 4859 = 43 * 1921 = 113 * 731 cs.=
    46697
    S% = 2 factor = 86473 = 43 * 2011 cs.= 47937
    S% = 2 factor = 88357 = 149 * 593 cs.= 48548
    S% = 2 factor = 88943 = 29 * 3067 cs.= 48741
    S% = 2 factor = 90161 = 29 * 3109 cs.= 49135
    S% = 2 factor = 90653 = 269 * 337 cs.= 49294
    S% = 2 factor = 92123 = 17 * 5419 cs.= 49778
    S% = 2 factor = 92353 PRIME. (). cs.= 49851
    S% = 2 factor = 92837 = 17 * 5461 = 43 * 2159 = 127 * 731 cs.=
    50013


    PROC input.

    enter text, formula. Analysis of c, a, b, i, n later : ?M 30402457
    multiplier * (base ^ index) + offset <= neighbourhood.
    2E9 2E9 2E9 2E9 2^5.

    enter base ( expression a$ , max= 2E9,
    often 2 default, 10, 2^10, 1E3. ) ?2
    a$ = 2 = 2.000000000

    enter index (power b%, [default 1]) ?30402457
    enter multiplier, c% (default = 1) ?
    1.000000000
    enter offset, +/- i% = EVAL i$ (default 0) ?
    = 0.000000000
    enter neighbourhood (sm. latitude) <= n%, (default = 0 ) ?99


    find (first)factors p, satisfying , S% = M 30402457
    ABS( 1.000000000 * 2.000000000 ^ 30402457.000000000 + 0.000000000 )
    <= 99.000000000 MOD p.

    PROC binary ( 30402457
    15201228 , 1
    7600614 , 0
    3800307 , 0
    1900153 , 1
    950076 , 1
    475038 , 0
    237519 , 0
    118759 , 1
    59379 , 1
    29689 , 1
    14844 , 1
    7422 , 0
    3711 , 0
    1855 , 1
    927 , 1
    463 , 1
    231 , 1
    115 , 1
    57 , 1
    28 , 1
    14 , 0
    7 , 0
    3 , 1
    1 , 1
    0 , 1

    PROC mult.
    TEST FACTORS.

    S% = 0 factor = 2 FIRST = 2 * 1PRIME. ().
    S% = 0 factor = 4 = 2 * 2 cs.= 7

    S% = 0 factor = 8 = 2 * 4 cs.= 1471

    S% = 0 factor = 16 = 2 * 8 = 4 * 4 cs.= 1554

    S% = 0 factor = 32 = 2 * 16 = 4 * 8 cs.= 1631

    S% = 0 factor = 64 = 2 * 32 = 4 * 16 = 8 * 8 cs.= 1712

    S% = 0 factor = 128 = 2 * 64 = 4 * 32 = 8 * 16 cs.= 1788

    S% = 0 factor = 256 = 2 * 128 = 4 * 64 = 8 * 32 = 16 * 16
    cs.= 1867

    S% = 0 factor = 512 = 2 * 256 = 4 * 128 = 8 * 64 = 16 * 32
    cs.= 1952

    S% = 0 factor = 1024 = 2 * 512 = 4 * 256 = 8 * 128 = 16 * 64
    = 32 * 32 cs.= 2121

    S% = 0 factor = 2048 = 2 * 1024 = 4 * 512 = 8 * 256 = 16 * 128
    = 32 * 64 cs.= 2206

    S% = 0 factor = 4096 = 2 * 2048 = 4 * 1024 = 8 * 512 = 16 * 256
    = 32 * 128 = 64 * 64 cs.= 2283

    S% = 0 factor = 8192 = 2 * 4096 = 4 * 2048 = 8 * 1024 = 16 * 512
    = 32 * 256 = 64 * 128 cs.= 2356

    S% = 0 factor = 16384 = 2 * 8192 = 4 * 4096 = 8 * 2048 = 16 * 1024
    = 32 * 512 = 64 * 256 = 128 * 128 cs.= 2432

    S% = 0 factor = 32768 = 2 * 16384 = 4 * 8192 = 8 * 4096 = 16 * 2048
    = 32 * 1024 = 64 * 512 = 128 * 256 cs.= 2520
    cs.= 2598

    S% = -1 factor = 3 FIRST = 3 * 1PRIME. ().
    S% = 2 factor = 9 FIRST = 3 * 3 cs.= 2681

    S% = -7 factor = 27 FIRST = 3 * 9 cs.= 4489

    S% = 20 factor = 81 FIRST = 3 * 27 = 9 * 9 cs.= 5087

    S% = -61 factor = 243 FIRST = 3 * 81 = 9 * 27 cs.= 5240
    cs.= 5374

    S% = 2 factor = 5 PRIME. ().
    S% = -3 factor = 25 FIRST = 5 * 5 cs.= 5728

    S% = -3 factor = 125 = 5 * 25 cs.= 6240
    cs.= 6379

    S% = 2 factor = 7 PRIME. ().
    S% = 2 factor = 49 = 7 * 7 cs.= 6551

    S% = -47 factor = 343 FIRST = 7 * 49 cs.= 6753
    cs.= 7560

    S% = 2 factor = 9 = 3 * 3 cs.= 7648

    S% = -4 factor = 11 FIRST PRIME. ().
    S% = -15 factor = 121 FIRST = 11 * 11 cs.= 7840
    cs.= 8044

    S% = 2 factor = 13 PRIME. ().
    S% = 41 factor = 169 FIRST = 13 * 13 cs.= 8188

    S% = 41 factor = 2197 = 13 * 169 cs.= 8361
    cs.= 8451

    S% = 2 factor = 15 = 3 * 5 cs.= 8538

    S% = 2 factor = 17 PRIME. ().
    S% = 36 factor = 289 FIRST = 17 * 17 cs.= 8627
    cs.= 8711

    S% = -5 factor = 19 FIRST PRIME. (). cs.= 8805

    S% = 2 factor = 21 = 3 * 7 cs.= 10254

    S% = 3 factor = 23 FIRST PRIME. (). cs.= 10355

    S% = -3 factor = 25 = 5 * 5 cs.= 11179

    S% = -7 factor = 27 = 3 * 9 cs.= 11297

    S% = 2 factor = 29 PRIME. ().
    S% = -85 factor = 841 FIRST = 29 * 29 cs.= 11380
    cs.= 11495

    S% = 4 factor = 31 FIRST PRIME. (). cs.= 11973

    S% = -4 factor = 33 = 3 * 11 cs.= 12135

    S% = 2 factor = 35 = 5 * 7 cs.= 12210

    S% = -17 factor = 37 FIRST PRIME. ().
    cs.= 12289

    S% = 2 factor = 39 = 3 * 13 cs.= 12361

    S% = -5 factor = 41 PRIME. (). cs.= 12438

    S% = 2 factor = 43 PRIME. ().
    S% = -41 factor = 1849 FIRST = 43 * 43 cs.= 12510
    cs.= 12586

    S% = 2 factor = 45 = 3 * 15 = 5 * 9 cs.= 12659

    S% = -23 factor = 47 FIRST PRIME. (). cs.= 12733

    S% = 2 factor = 49 = 7 * 7 cs.= 12805
    51,
    S% = -22 factor = 53 FIRST PRIME. (). cs.= 12889

    S% = -26 factor = 59 FIRST PRIME. (). cs.= 13484

    S% = -6 factor = 61 FIRST PRIME. ().
    S% = 55 factor = 3721 FIRST = 61 * 61 cs.= 13615
    cs.= 13694

    S% = 13 factor = 67 FIRST PRIME. (). cs.= 13770

    S% = -21 factor = 71 FIRST PRIME. (). cs.= 13847

    S% = -18 factor = 73 FIRST PRIME. (). cs.= 13923

    S% = -30 factor = 79 FIRST PRIME. (). cs.= 13997

    S% = -33 factor = 83 FIRST PRIME. (). cs.= 14068

    S% = -11 factor = 89 FIRST PRIME. (). cs.= 14138

    S% = -2 factor = 97 FIRST PRIME. (). cs.= 14209

    S% = -27 factor = 101 FIRST PRIME. (). cs.= 14577

    S% = -20 factor = 103 FIRST PRIME. (). cs.= 14691

    S% = -13 factor = 107 FIRST PRIME. (). cs.= 14911

    S% = -19 factor = 109 FIRST PRIME. (). cs.= 14989

    S% = 2 factor = 113 PRIME. (). cs.= 15063

    S% = 2 factor = 127 PRIME. (). cs.= 15140

    S% = -3 factor = 131 PRIME. (). cs.= 15214

    S% = -17 factor = 137 PRIME. (). cs.= 15289

    S% = 21 factor = 139 FIRST PRIME. (). cs.= 15365

    S% = 2 factor = 149 PRIME. (). cs.= 15441

    S% = -23 factor = 151 PRIME. (). cs.= 15519

    S% = 29 factor = 157 FIRST PRIME. (). cs.= 15596

    S% = -41 factor = 163 PRIME. (). cs.= 15677

    S% = 50 factor = 167 FIRST PRIME. (). cs.= 15760

    S% = 27 factor = 173 FIRST PRIME. (). cs.= 15843

    S% = -27 factor = 179 PRIME. (). cs.= 15915

    S% = 53 factor = 181 FIRST PRIME. (). cs.= 15990

    S% = -91 factor = 191 FIRST PRIME. (). cs.= 16229

    S% = 31 factor = 193 FIRST PRIME. (). cs.= 16358
    195,
    S% = -66 factor = 197 FIRST PRIME. (). cs.= 16446

    S% = 80 factor = 199 FIRST PRIME. (). cs.= 16528

    S% = -46 factor = 211 FIRST PRIME. (). cs.= 16615

    S% = 2 factor = 223 PRIME. (). cs.= 16695

    S% = -22 factor = 229 PRIME. (). cs.= 16784

    S% = 72 factor = 239 FIRST PRIME. (). cs.= 16861

    S% = 2 factor = 241 PRIME. (). cs.= 16935

    S% = -2 factor = 257 PRIME. (). cs.= 17019

    S% = 46 factor = 263 FIRST PRIME. (). cs.= 17098

    S% = 2 factor = 269 PRIME. (). cs.= 17179

    S% = 61 factor = 271 FIRST PRIME. (). cs.= 17257

    S% = -98 factor = 281 FIRST PRIME. (). cs.= 17333

    S% = 76 factor = 283 FIRST PRIME. (). cs.= 17417

    S% = 36 factor = 289 = 17 * 17 cs.= 17496

    S% = 2 factor = 293 PRIME. (). cs.= 17575

    S% = -79 factor = 307 FIRST PRIME. (). cs.= 17656

    S% = 2 factor = 337 PRIME. (). cs.= 17985

    S% = -89 factor = 347 FIRST PRIME. (). cs.= 18129

    S% = 44 factor = 353 FIRST PRIME. (). cs.= 18220

    S% = -97 factor = 367 FIRST PRIME. (). cs.= 18303

    S% = -14 factor = 373 FIRST PRIME. (). cs.= 18378

    S% = -66 factor = 383 PRIME. (). cs.= 18458

    S% = 14 factor = 389 FIRST PRIME. (). cs.= 18598

    S% = -66 factor = 391 = 17 * 23 cs.= 18684

    S% = -5 factor = 419 PRIME. (). cs.= 18775

    S% = 83 factor = 421 FIRST PRIME. (). cs.= 19697

    S% = -37 factor = 433 FIRST PRIME. (). cs.= 20430

    S% = -43 factor = 437 FIRST = 19 * 23 cs.= 20513

    S% = 2 factor = 439 PRIME. (). cs.= 20595

    S% = -41 factor = 443 PRIME. (). cs.= 20679

    S% = 55 factor = 461 PRIME. (). cs.= 20770

    S% = -76 factor = 463 FIRST PRIME. (). cs.= 20844

    S% = 56 factor = 467 FIRST PRIME. (). cs.= 20921
    475,
    S% = 11 factor = 479 FIRST PRIME. (). cs.= 21080

    S% = -39 factor = 491 FIRST PRIME. (). cs.= 21113

    S% = 2 factor = 493 = 17 * 29 cs.= 21119

    S% = -36 factor = 499 FIRST PRIME. (). cs.= 21128

    S% = 50 factor = 509 PRIME. (). cs.= 21137

    S% = -25 factor = 547 FIRST PRIME. (). cs.= 21150

    S% = 26 factor = 563 FIRST PRIME. (). cs.= 21288

    S% = 2 factor = 593 PRIME. (). cs.= 21324

    S% = -94 factor = 613 FIRST PRIME. (). cs.= 21330

    S% = 5 factor = 641 FIRST PRIME. (). cs.= 21339

    S% = 12 factor = 647 FIRST PRIME. (). cs.= 21343

    S% = 37 factor = 661 FIRST PRIME. (). cs.= 21352

    S% = -2 factor = 673 PRIME. (). cs.= 21359

    S% = 66 factor = 691 FIRST PRIME. (). cs.= 21368

    S% = 36 factor = 697 = 17 * 41 cs.= 21373

    S% = -92 factor = 701 FIRST PRIME. (). cs.= 21382

    S% = -37 factor = 709 PRIME. (). cs.= 21391

    S% = -89 factor = 713 = 23 * 31 cs.= 21398

    S% = 91 factor = 727 FIRST PRIME. (). cs.= 21407

    S% = 2 factor = 731 = 17 * 43 cs.= 21413

    S% = -15 factor = 751 PRIME. (). cs.= 21425

    S% = -17 factor = 761 PRIME. (). cs.= 21431

    S% = -5 factor = 779 = 19 * 41 cs.= 21440

    S% = -63 factor = 787 FIRST PRIME. (). cs.= 21446

    S% = 97 factor = 797 FIRST PRIME. (). cs.= 21454

    S% = -36 factor = 809 PRIME. (). cs.= 21463

    S% = -3 factor = 823 PRIME. (). cs.= 21473

    S% = -71 factor = 839 FIRST PRIME. (). cs.= 21480

    S% = -85 factor = 841 = 29 * 29 cs.= 21486

    S% = 2 factor = 877 PRIME. (). cs.= 21729

    S% = 71 factor = 893 FIRST = 19 * 47 cs.= 21758

    S% = -27 factor = 899 = 29 * 31 cs.= 21762
    913,
    S% = -83 factor = 929 FIRST PRIME. (). cs.= 21776

    S% = -83 factor = 947 PRIME. (). cs.= 21782

    S% = 47 factor = 1039 FIRST PRIME. (). cs.= 21810

    S% = 33 factor = 1121 FIRST = 19 * 59 cs.= 21830

    S% = -34 factor = 1187 FIRST PRIME. (). cs.= 21845

    S% = 54 factor = 1237 FIRST PRIME. (). cs.= 21860

    S% = 2 factor = 1247 = 29 * 43 cs.= 21863

    S% = -54 factor = 1297 FIRST PRIME. (). cs.= 21877

    S% = -97 factor = 1303 PRIME. (). cs.= 21880

    S% = -27 factor = 1423 PRIME. (). cs.= 21907

    S% = 2 factor = 1429 PRIME. (). cs.= 21910

    S% = -33 factor = 1481 PRIME. (). cs.= 21923

    S% = 21 factor = 1487 PRIME. (). cs.= 21926
    1519,
    S% = 31 factor = 1537 = 29 * 53 cs.= 22068

    S% = 54 factor = 1583 PRIME. (). cs.= 22100

    S% = 54 factor = 1597 PRIME. (). cs.= 22104

    S% = 2 factor = 1609 PRIME. (). cs.= 22108

    S% = -85 factor = 1711 = 29 * 59 cs.= 22137

    S% = 2 factor = 1753 PRIME. (). cs.= 22149

    S% = 2 factor = 1777 PRIME. (). cs.= 22155

    S% = 49 factor = 1817 FIRST = 23 * 79 cs.= 22164

    S% = -41 factor = 1849 = 43 * 43 cs.= 22173

    S% = 2 factor = 1877 PRIME. (). cs.= 22182

    S% = 2 factor = 1921 = 17 * 113 cs.= 22195

    S% = 28 factor = 1949 FIRST PRIME. (). cs.= 22202

    S% = -57 factor = 1993 FIRST PRIME. (). cs.= 22212

    S% = 2 factor = 2011 PRIME. (). cs.= 22218

    S% = -2 factor = 2017 PRIME. (). cs.= 22220

    S% = -88 factor = 2027 FIRST PRIME. (). cs.= 22224

    S% = -59 factor = 2029 FIRST PRIME. (). cs.= 22226

    S% = 48 factor = 2063 FIRST PRIME. (). cs.= 22234

    S% = 90 factor = 2071 FIRST = 19 * 109 cs.= 22238

    S% = 96 factor = 2087 FIRST PRIME. (). cs.= 22244

    S% = 80 factor = 2111 PRIME. (). cs.= 22249

    S% = 46 factor = 2129 PRIME. (). cs.= 22254

    S% = 2 factor = 2159 = 17 * 127 cs.= 22264

    S% = 12 factor = 2161 PRIME. (). cs.= 22266

    S% = 95 factor = 2231 FIRST = 23 * 97 cs.= 22285
    2299,
    S% = 85 factor = 2333 FIRST PRIME. (). cs.= 22312

    S% = 30 factor = 2339 FIRST PRIME. (). cs.= 22314

    S% = -20 factor = 2369 = 23 * 103 cs.= 22323

    S% = -85 factor = 2371 PRIME. (). cs.= 22325

    S% = 3 factor = 2377 PRIME. (). cs.= 22327

    S% = 30 factor = 2389 PRIME. (). cs.= 22332

    S% = -84 factor = 2393 FIRST PRIME. (). cs.= 22334

    S% = -54 factor = 2479 = 37 * 67 cs.= 22357

    S% = 2 factor = 2533 = 17 * 149 cs.= 22368

    S% = 89 factor = 2617 FIRST PRIME. (). cs.= 22390

    S% = -91 factor = 2701 = 37 * 73 cs.= 22414

    S% = -27 factor = 2929 = 29 * 101 cs.= 22472

    S% = 96 factor = 2999 PRIME. (). cs.= 22487

    S% = -18 factor = 3001 PRIME. (). cs.= 22489

    S% = 2 factor = 3067 PRIME. (). cs.= 22505

    S% = 53 factor = 3077 = 17 * 181 cs.= 22509

    S% = 2 factor = 3109 PRIME. (). cs.= 22517

    S% = -27 factor = 3131 = 31 * 101 cs.= 22524

    S% = 2 factor = 3217 PRIME. (). cs.= 22546

    S% = 38 factor = 3259 FIRST PRIME. (). cs.= 22559
    3261,
    S% = 2 factor = 3277 = 29 * 113 cs.= 22562

    S% = 2 factor = 3331 PRIME. (). cs.= 22579

    S% = -66 factor = 3349 = 17 * 197 cs.= 22585

    S% = 2 factor = 3361 PRIME. (). cs.= 22588

    S% = -4 factor = 3371 PRIME. (). cs.= 22591

    S% = 83 factor = 3541 PRIME. (). cs.= 22633

    S% = -39 factor = 3559 PRIME. (). cs.= 22639

    S% = 9 factor = 3593 FIRST PRIME. (). cs.= 22649

    S% = 79 factor = 3623 FIRST PRIME. (). cs.= 22657

    S% = 2 factor = 3683 = 29 * 127 cs.= 22672

    S% = 55 factor = 3721 = 61 * 61 cs.= 22682

    S% = 2 factor = 3791 = 17 * 223 cs.= 22700

    S% = 88 factor = 3863 FIRST PRIME. (). cs.= 22720

    S% = 37 factor = 3907 PRIME. (). cs.= 22730

    S% = 2 factor = 3943 PRIME. (). cs.= 22741

    S% = 94 factor = 3959 FIRST = 37 * 107 cs.= 22746

    S% = 50 factor = 4007 PRIME. (). cs.= 22759

    S% = -98 factor = 4021 PRIME. (). cs.= 22765

    S% = 2 factor = 4097 = 17 * 241 cs.= 22783

    S% = -62 factor = 4139 FIRST PRIME. (). cs.= 22793

    S% = -72 factor = 4261 FIRST PRIME. (). cs.= 22826

    S% = -2 factor = 4289 PRIME. (). cs.= 22834

    S% = 2 factor = 4321 = 29 * 149 cs.= 22841

    S% = -35 factor = 4339 FIRST PRIME. (). cs.= 22847
    4405,
    S% = 55 factor = 4453 = 61 * 73 cs.= 22878

    S% = -66 factor = 4531 = 23 * 197 cs.= 22897

    S% = -10 factor = 4561 FIRST PRIME. (). cs.= 22906

    S% = 2 factor = 4573 = 17 * 269 cs.= 22909

    S% = 2 factor = 4663 PRIME. (). cs.= 22934

    S% = -18 factor = 4729 PRIME. (). cs.= 22952

    S% = 86 factor = 4789 FIRST PRIME. (). cs.= 22966

    S% = 2 factor = 4859 = 43 * 113 cs.= 22984

    S% = 2 factor = 4981 = 17 * 293 cs.= 23013

    S% = -17 factor = 5069 = 37 * 137 cs.= 23037

    S% = -2 factor = 5153 PRIME. (). cs.= 23059

    S% = -27 factor = 5191 = 29 * 179 cs.= 23069

    S% = -43 factor = 5309 PRIME. (). cs.= 23098

    S% = -78 factor = 5351 FIRST PRIME. (). cs.= 23109

    S% = 2 factor = 5419 PRIME. (). cs.= 23128

    S% = 2 factor = 5461 = 43 * 127 cs.= 23139

    S% = 72 factor = 5497 = 23 * 239 cs.= 23148

    S% = 68 factor = 5521 FIRST PRIME. (). cs.= 23156

    S% = -27 factor = 5549 = 31 * 179 cs.= 23164

    S% = 31 factor = 5597 = 29 * 193 cs.= 23177

    S% = 78 factor = 5651 FIRST PRIME. (). cs.= 23192

    S% = 2 factor = 5729 = 17 * 337 cs.= 23212
    5733,
    S% = 50 factor = 5893 = 71 * 83 cs.= 23251

    S% = 81 factor = 6079 FIRST PRIME. (). cs.= 23300

    S% = 2 factor = 6133 PRIME. (). cs.= 23315

    S% = 2 factor = 6217 PRIME. (). cs.= 23336

    S% = 17 factor = 6337 FIRST PRIME. (). cs.= 23367

    S% = 2 factor = 6407 = 43 * 149 cs.= 23385

    S% = -71 factor = 6451 PRIME. (). cs.= 23397

    S% = 2 factor = 6467 = 29 * 223 cs.= 23400

    S% = -66 factor = 6511 = 17 * 383 cs.= 23413

    S% = -64 factor = 6569 FIRST PRIME. (). cs.= 23428

    S% = 19 factor = 6689 FIRST PRIME. (). cs.= 23458

    S% = 25 factor = 6791 FIRST PRIME. (). cs.= 23485

    S% = 20 factor = 6907 PRIME. (). cs.= 23514

    S% = 2 factor = 6989 = 29 * 241 cs.= 23536

    S% = -41 factor = 7009 = 43 * 163 cs.= 23543

    S% = -91 factor = 7067 = 37 * 191 cs.= 23557

    S% = -23 factor = 7097 = 47 * 151 cs.= 23565

    S% = 57 factor = 7213 FIRST PRIME. (). cs.= 23596
    7249,
    S% = 14 factor = 7391 = 19 * 389 cs.= 23639

    S% = -8 factor = 7433 FIRST PRIME. (). cs.= 23649

    S% = 2 factor = 7463 = 17 * 439 cs.= 23658

    S% = -81 factor = 7499 FIRST PRIME. (). cs.= 23668

    S% = -70 factor = 7573 FIRST PRIME. (). cs.= 23688

    S% = -53 factor = 7591 FIRST PRIME. (). cs.= 23694

    S% = 2 factor = 7801 = 29 * 269 cs.= 23745

    S% = -5 factor = 7961 = 19 * 419 cs.= 23786

    S% = -89 factor = 7981 = 23 * 347 cs.= 23792

    S% = 2 factor = 8497 = 29 * 293 cs.= 23916

    S% = 53 factor = 8581 PRIME. (). cs.= 23939

    S% = -46 factor = 8651 = 41 * 211 cs.= 23958

    S% = -75 factor = 8747 FIRST PRIME. (). cs.= 23982

    S% = -66 factor = 8809 = 23 * 383 cs.= 23999
    8953,
    S% = 2 factor = 9589 = 43 * 223 cs.= 24186

    S% = 2 factor = 9649 PRIME. (). cs.= 24204

    S% = 2 factor = 9773 = 29 * 337 cs.= 24235

    S% = 2 factor = 9929 PRIME. (). cs.= 24275

    S% = 2 factor = 10081 = 17 * 593 cs.= 24313

    S% = 31 factor = 10229 = 53 * 193 cs.= 24351

    S% = 2 factor = 10363 = 43 * 241 cs.= 24387

    S% = 2 factor = 10453 PRIME. (). cs.= 24408

    S% = -89 factor = 10757 = 31 * 347 cs.= 24485
    10851,
    S% = -56 factor = 11069 FIRST PRIME. (). cs.= 24562

    S% = -8 factor = 11149 PRIME. (). cs.= 24581

    S% = -80 factor = 11161 FIRST PRIME. (). cs.= 24586

    S% = -30 factor = 11213 PRIME. (). cs.= 24600

    S% = 2 factor = 11257 PRIME. (). cs.= 24610

    S% = 2 factor = 11567 = 43 * 269 cs.= 24686

    S% = 36 factor = 11849 = 17 * 697 = 41 * 289 cs.= 24757

    S% = 50 factor = 11857 = 71 * 167 cs.= 24759

    S% = -22 factor = 12137 = 53 * 229 cs.= 24828

    S% = 71 factor = 12277 PRIME. (). cs.= 24864

    S% = 2 factor = 12433 PRIME. (). cs.= 24903

    S% = 2 factor = 12599 = 43 * 293 cs.= 24947

    S% = 55 factor = 12653 PRIME. (). cs.= 24962

    S% = -5 factor = 12703 PRIME. (). cs.= 24973

    S% = 2 factor = 12731 = 29 * 439 cs.= 24981

    S% = -15 factor = 12767 = 17 * 751 cs.= 24991

    S% = 54 factor = 12853 PRIME. (). cs.= 25016
    12935,
    S% = 26 factor = 12949 = 23 * 563 cs.= 25039

    S% = 8 factor = 13007 FIRST PRIME. (). cs.= 25055

    S% = 34 factor = 13171 FIRST PRIME. (). cs.= 25095

    S% = 80 factor = 13333 = 67 * 199 cs.= 25137

    S% = 57 factor = 13687 PRIME. (). cs.= 25220

    S% = -38 factor = 13841 FIRST PRIME. (). cs.= 25261

    S% = 50 factor = 13861 = 83 * 167 cs.= 25267

    S% = -91 factor = 13943 = 73 * 191 cs.= 25290

    S% = 78 factor = 14009 PRIME. (). cs.= 25306

    S% = 2 factor = 14071 PRIME. (). cs.= 25321

    S% = 2 factor = 14351 = 113 * 127 cs.= 25389

    S% = 2 factor = 14449 PRIME. (). cs.= 25415

    S% = 2 factor = 14491 = 43 * 337 cs.= 25428

    S% = 2 factor = 14909 = 17 * 877 cs.= 25533
    15211,
    S% = -85 factor = 15227 PRIME. (). cs.= 25609

    S% = 2 factor = 15541 PRIME. (). cs.= 25687

    S% = 3 factor = 15647 PRIME. (). cs.= 25717

    S% = -83 factor = 15793 = 17 * 929 cs.= 25754

    S% = 15 factor = 15859 FIRST PRIME. (). cs.= 25769

    S% = -83 factor = 16099 = 17 * 947 cs.= 25827

    S% = 71 factor = 16447 PRIME. (). cs.= 25914

    S% = 2 factor = 16837 = 113 * 149 cs.= 26010

    S% = -5 factor = 17179 = 41 * 419 cs.= 26092

    S% = 2 factor = 17197 = 29 * 593 cs.= 26098

    S% = 11 factor = 17257 PRIME. (). cs.= 26115

    S% = -31 factor = 17291 FIRST PRIME. (). cs.= 26125

    S% = 2 factor = 17539 PRIME. (). cs.= 26187
    17679,
    S% = -27 factor = 18079 = 101 * 179 cs.= 26319

    S% = 4 factor = 18199 PRIME. (). cs.= 26350

    S% = 2 factor = 18397 PRIME. (). cs.= 26398

    S% = 15 factor = 18583 PRIME. (). cs.= 28638

    S% = -50 factor = 18797 FIRST PRIME. (). cs.= 28693

    S% = 2 factor = 18877 = 43 * 439 cs.= 28713

    S% = 2 factor = 18923 = 127 * 149 cs.= 28725

    S% = -41 factor = 19049 = 43 * 443 cs.= 28756
    20339,
    S% = -65 factor = 20407 FIRST PRIME. (). cs.= 29089

    S% = 33 factor = 21163 PRIME. (). cs.= 29271

    S% = 2 factor = 21199 = 17 * 1247 = 29 * 731 = 43 * 493 cs.= 29284


    S% = -26 factor = 21277 PRIME. (). cs.= 29303

    S% = 66 factor = 21421 = 31 * 691 cs.= 29342

    S% = -4 factor = 21569 PRIME. (). cs.= 29378

    S% = 2 factor = 21757 PRIME. (). cs.= 29425

    S% = -14 factor = 21863 PRIME. (). cs.= 29453

    S% = 2 factor = 22111 PRIME. (). cs.= 29515

    S% = -21 factor = 23059 PRIME. (). cs.= 29745
    23193,
    S% = 2 factor = 24293 = 17 * 1429 cs.= 30045

    S% = 97 factor = 24707 = 31 * 797 cs.= 30148

    S% = -2 factor = 24929 = 97 * 257 cs.= 30204

    S% = 2 factor = 25199 = 113 * 223 cs.= 30269

    S% = -50 factor = 25237 PRIME. (). cs.= 30280

    S% = 2 factor = 25433 = 29 * 877 cs.= 30329

    S% = 2 factor = 25499 = 43 * 593 cs.= 30347
    26241,
    S% = 28 factor = 27073 PRIME. (). cs.= 30730

    S% = 2 factor = 27233 = 113 * 241 cs.= 30771

    S% = 2 factor = 27353 = 17 * 1609 cs.= 30804

    S% = 55 factor = 28121 = 61 * 461 cs.= 30990

    S% = -17 factor = 28157 = 37 * 761 cs.= 31001

    S% = 2 factor = 28321 = 127 * 223 cs.= 31043

    S% = -26 factor = 28411 PRIME. (). cs.= 31066

    S% = 2 factor = 29347 PRIME. (). cs.= 31295
    29481,
    S% = 2 factor = 29801 = 17 * 1753 cs.= 31406

    S% = 2 factor = 30209 = 17 * 1777 cs.= 31509

    S% = 2 factor = 30397 = 113 * 269 cs.= 31556

    S% = 2 factor = 30607 = 127 * 241 cs.= 31607

    S% = -57 factor = 30937 PRIME. (). cs.= 31690

    S% = -22 factor = 30977 PRIME. (). cs.= 31701

    S% = 2 factor = 31909 = 17 * 1877 cs.= 31932

    S% = -75 factor = 32089 PRIME. (). cs.= 31976

    S% = 2 factor = 32413 PRIME. (). cs.= 32057
    32919,
    S% = 91 factor = 32999 PRIME. (). cs.= 32201

    S% = 2 factor = 33109 = 113 * 293 cs.= 32229

    S% = 2 factor = 33227 = 149 * 223 cs.= 32260

    S% = 55 factor = 33653 = 73 * 461 cs.= 32366

    S% = 2 factor = 33769 PRIME. (). cs.= 32396

    S% = 2 factor = 34163 = 127 * 269 cs.= 32492

    S% = 2 factor = 34187 = 17 * 2011 cs.= 32499

    S% = 2 factor = 35909 = 149 * 241 cs.= 32915

    S% = 50 factor = 36139 = 71 * 509 cs.= 32975

    S% = 69 factor = 36493 FIRST PRIME. (). cs.= 33062
    36549,
    S% = 2 factor = 36793 PRIME. (). cs.= 33139

    S% = 2 factor = 37211 = 127 * 293 cs.= 33240

    S% = 2 factor = 37711 = 43 * 877 cs.= 33362

    S% = 2 factor = 38081 = 113 * 337 cs.= 33452

    S% = 2 factor = 40081 = 149 * 269 cs.= 33935
    40375,
    S% = -27 factor = 41267 = 29 * 1423 cs.= 34223

    S% = 2 factor = 41441 = 29 * 1429 cs.= 34268

    S% = 50 factor = 42247 = 83 * 509 cs.= 34466

    S% = 2 factor = 42799 = 127 * 337 cs.= 34600

    S% = 50 factor = 42989 PRIME. (). cs.= 34649

    S% = 83 factor = 43363 = 103 * 421 cs.= 34741

    S% = 2 factor = 43657 = 149 * 293 cs.= 34812

    S% = 68 factor = 43717 PRIME. (). cs.= 34827

    S% = -39 factor = 44029 PRIME. (). cs.= 34907

    S% = -27 factor = 44113 = 31 * 1423 cs.= 34926
    44395,
    S% = 28 factor = 44533 PRIME. (). cs.= 35031

    S% = 2 factor = 44623 PRIME. (). cs.= 35054

    S% = 2 factor = 45553 PRIME. (). cs.= 35281

    S% = 2 factor = 46661 = 29 * 1609 cs.= 35564

    S% = -54 factor = 47989 = 37 * 1297 cs.= 35949
    48615,
    S% = 2 factor = 49057 PRIME. (). cs.= 36258

    S% = 2 factor = 49607 = 113 * 439 cs.= 36423

    S% = -85 factor = 49619 = 29 * 1711 = 59 * 841 cs.= 36427

    S% = -92 factor = 49771 = 71 * 701 cs.= 36471

    S% = 2 factor = 50213 = 149 * 337 cs.= 36605

    S% = 2 factor = 50837 = 29 * 1753 cs.= 36789

    S% = 2 factor = 51533 = 29 * 1777 cs.= 36996

    S% = 2 factor = 52139 = 17 * 3067 cs.= 37175

    S% = 2 factor = 52561 PRIME. (). cs.= 37303

    S% = 2 factor = 52853 = 17 * 3109 cs.= 37389
    53025,
    S% = 2 factor = 53743 = 223 * 241 cs.= 37656

    S% = 95 factor = 53819 PRIME. (). cs.= 37679

    S% = 2 factor = 54433 = 29 * 1877 cs.= 37866

    S% = 3 factor = 54671 = 23 * 2377 cs.= 37940

    S% = 2 factor = 54689 = 17 * 3217 cs.= 37947

    S% = 2 factor = 55709 = 17 * 3277 = 29 * 1921 = 113 * 493 cs.=
    38251

    S% = 2 factor = 55753 = 127 * 439 cs.= 38269

    S% = -79 factor = 56237 PRIME. (). cs.= 38414

    S% = 2 factor = 56627 = 17 * 3331 cs.= 38532

    S% = 2 factor = 57137 = 17 * 3361 cs.= 38688

    S% = 21 factor = 57269 PRIME. (). cs.= 38731
    57631,
    S% = 2 factor = 58319 = 29 * 2011 cs.= 39048

    S% = 2 factor = 58693 PRIME. (). cs.= 39165

    S% = 2 factor = 59497 PRIME. (). cs.= 39412

    S% = 2 factor = 59987 = 223 * 269 cs.= 39558

    S% = 2 factor = 61447 = 43 * 1429 cs.= 40006

    S% = -95 factor = 61561 FIRST PRIME. (). cs.= 40044
    62433,
    S% = 2 factor = 62611 = 17 * 3683 = 29 * 2159 = 127 * 493 cs.=
    40367

    S% = 2 factor = 64829 = 241 * 269 cs.= 41051

    S% = -2 factor = 65281 = 97 * 673 cs.= 41190

    S% = 2 factor = 65339 = 223 * 293 cs.= 41209

    S% = 2 factor = 65411 = 149 * 439 cs.= 41234

    S% = -97 factor = 65827 PRIME. (). cs.= 41363

    S% = 2 factor = 67009 = 113 * 593 cs.= 41732

    S% = 2 factor = 67031 = 17 * 3943 cs.= 41742
    67431,
    S% = 2 factor = 67537 PRIME. (). cs.= 41899

    S% = 59 factor = 67987 FIRST PRIME. (). cs.= 42042

    S% = -85 factor = 68759 = 29 * 2371 cs.= 42285

    S% = 46 factor = 69169 = 263 * 263 cs.= 42414

    S% = 2 factor = 69187 = 43 * 1609 cs.= 42417

    S% = 2 factor = 70613 = 241 * 293 cs.= 42869

    S% = -41 factor = 72209 = 163 * 443 cs.= 43369
    72625,
    S% = 2 factor = 73457 = 17 * 4321 = 29 * 2533 = 149 * 493 cs.=
    43762

    S% = 2 factor = 75041 PRIME. (). cs.= 44266

    S% = 2 factor = 75151 = 223 * 337 cs.= 44299

    S% = 2 factor = 75311 = 127 * 593 cs.= 44354

    S% = 2 factor = 75379 = 43 * 1753 cs.= 44381

    S% = -66 factor = 75451 = 197 * 383 cs.= 44404

    S% = 2 factor = 75629 PRIME. (). cs.= 44463

    S% = 89 factor = 75893 = 29 * 2617 cs.= 44549

    S% = 2 factor = 76411 = 43 * 1777 cs.= 44716

    S% = -66 factor = 77027 = 17 * 4531 = 23 * 3349 = 197 * 391 cs.=
    44908
    78015,
    S% = -62 factor = 78641 = 19 * 4139 cs.= 45422

    S% = 2 factor = 78817 = 269 * 293 cs.= 45481

    S% = 2 factor = 79271 = 17 * 4663 cs.= 45626

    S% = -2 factor = 80513 PRIME. (). cs.= 46025

    S% = 2 factor = 80711 = 43 * 1877 cs.= 46088

    S% = 2 factor = 81217 = 241 * 337 cs.= 46249

    S% = 2 factor = 82603 = 17 * 4859 = 43 * 1921 = 113 * 731 cs.=
    46697
    83603,
    S% = 50 factor = 85003 = 167 * 509 cs.= 47460

    S% = -8 factor = 85469 PRIME. (). cs.= 47610

    S% = 86 factor = 85831 PRIME. (). cs.= 47729

    S% = 2 factor = 86473 = 43 * 2011 cs.= 47937

    S% = -54 factor = 86899 = 67 * 1297 cs.= 48078

    S% = 2 factor = 88357 = 149 * 593 cs.= 48548

    S% = 2 factor = 88943 = 29 * 3067 cs.= 48741
    89391,
    S% = 2 factor = 90161 = 29 * 3109 cs.= 49135

    S% = 78 factor = 90481 PRIME. (). cs.= 49239

    S% = 2 factor = 90653 = 269 * 337 cs.= 49294

    S% = -27 factor = 90799 = 29 * 3131 = 31 * 2929 = 101 * 899 cs.=
    49346

    S% = 2 factor = 92123 = 17 * 5419 cs.= 49778

    S% = 2 factor = 92353 PRIME. (). cs.= 49851

    S% = 2 factor = 92837 = 17 * 5461 = 43 * 2159 = 127 * 731 cs.=
    50013

    Floating point exception: invalid operation
    find (first)factors p, satisfying , S% = M 30402457
    ABS( 1.000000000 * 2.000000000 ^ 30402457.000000000
    + 0.000000000 ) <= 99.000000000 MOD p.

    highest factor tested, P% = 92879.000000000
    cs. = 50028.000000000 at ERL. = 1200.000000000

    summary factors, enter cont.?



    sumry factors, S% = 0 2 cont.
    sumry factors, S% = -1 3 cont.
    sumry factors, S% = -2 97 S% = +2 9 cont.
    sumry factors, S% = -3 25 S% = +3 23 cont.
    sumry factors, S% = -4 11 S% = +4 31 cont.
    sumry factors, S% = -5 19 S% = +5 641 cont.
    sumry factors, S% = -6 61 cont.
    sumry factors, S% = -7 27 cont.
    sumry factors, S% = -8 7433 S% = +8 13007 cont.
    sumry factors, S% = -9 0 S% = +9 3593 cont.
    sumry factors, S% = -10 4561 cont.
    sumry factors, S% = -11 89 S% = +11 479 cont.
    sumry factors, S% = -12 0 S% = +12 647 cont.
    sumry factors, S% = -13 107 S% = +13 67 cont.
    sumry factors, S% = -14 373 S% = +14 389 cont.
    sumry factors, S% = -15 121 S% = +15 15859 cont. ,
    sumry factors, S% = -17 37 S% = +17 6337 cont.
    sumry factors, S% = -18 73 cont.
    sumry factors, S% = -19 109 S% = +19 6689 cont.
    sumry factors, S% = -20 103 S% = +20 81 cont.
    sumry factors, S% = -21 71 S% = +21 139 cont.
    sumry factors, S% = -22 53 cont.
    sumry factors, S% = -23 47 cont. ,
    sumry factors, S% = -25 547 S% = +25 6791 cont.
    sumry factors, S% = -26 59 S% = +26 563 cont.
    sumry factors, S% = -27 101 S% = +27 173 cont.
    sumry factors, S% = -28 0 S% = +28 1949 cont.
    sumry factors, S% = -29 0 S% = +29 157 cont.
    sumry factors, S% = -30 79 S% = +30 2339 cont.
    sumry factors, S% = -31 17291 S% = +31 193 cont. ,
    sumry factors, S% = -33 83 S% = +33 1121 cont.
    sumry factors, S% = -34 1187 S% = +34 13171 cont.
    sumry factors, S% = -35 4339 cont.
    sumry factors, S% = -36 499 S% = +36 289 cont.
    sumry factors, S% = -37 433 S% = +37 661 cont.
    sumry factors, S% = -38 13841 S% = +38 3259 cont.
    sumry factors, S% = -39 491 cont. ,
    sumry factors, S% = -41 1849 S% = +41 169 cont. ,
    sumry factors, S% = -43 437 cont.
    sumry factors, S% = -44 0 S% = +44 353 cont. ,
    sumry factors, S% = -46 211 S% = +46 263 cont.
    sumry factors, S% = -47 343 S% = +47 1039 cont.
    sumry factors, S% = -48 0 S% = +48 2063 cont.
    sumry factors, S% = -49 0 S% = +49 1817 cont.
    sumry factors, S% = -50 18797 S% = +50 167 cont. ,,
    sumry factors, S% = -53 7591 S% = +53 181 cont.
    sumry factors, S% = -54 1297 S% = +54 1237 cont.
    sumry factors, S% = -55 0 S% = +55 3721 cont.
    sumry factors, S% = -56 11069 S% = +56 467 cont.
    sumry factors, S% = -57 1993 S% = +57 7213 cont. ,
    sumry factors, S% = -59 2029 S% = +59 67987 cont. ,
    sumry factors, S% = -61 243 S% = +61 271 cont.
    sumry factors, S% = -62 4139 cont.
    sumry factors, S% = -63 787 cont.
    sumry factors, S% = -64 6569 cont.
    sumry factors, S% = -65 20407 cont.
    sumry factors, S% = -66 197 S% = +66 691 cont. ,
    sumry factors, S% = -68 0 S% = +68 5521 cont.
    sumry factors, S% = -69 0 S% = +69 36493 cont.
    sumry factors, S% = -70 7573 cont.
    sumry factors, S% = -71 839 S% = +71 893 cont.
    sumry factors, S% = -72 4261 S% = +72 239 cont. ,,
    sumry factors, S% = -75 8747 cont.
    sumry factors, S% = -76 463 S% = +76 283 cont. ,
    sumry factors, S% = -78 5351 S% = +78 5651 cont.
    sumry factors, S% = -79 307 S% = +79 3623 cont.
    sumry factors, S% = -80 11161 S% = +80 199 cont.
    sumry factors, S% = -81 7499 S% = +81 6079 cont. ,
    sumry factors, S% = -83 929 S% = +83 421 cont.
    sumry factors, S% = -84 2393 cont.
    sumry factors, S% = -85 841 S% = +85 2333 cont.
    sumry factors, S% = -86 0 S% = +86 4789 cont. ,
    sumry factors, S% = -88 2027 S% = +88 3863 cont.
    sumry factors, S% = -89 347 S% = +89 2617 cont.
    sumry factors, S% = -90 0 S% = +90 2071 cont.
    sumry factors, S% = -91 191 S% = +91 727 cont.
    sumry factors, S% = -92 701 cont. ,
    sumry factors, S% = -94 613 S% = +94 3959 cont.
    sumry factors, S% = -95 61561 S% = +95 2231 cont.
    sumry factors, S% = -96 0 S% = +96 2087 cont.
    sumry factors, S% = -97 367 S% = +97 797 cont.
    sumry factors, S% = -98 281 cont. ,
    BBC Basic V Program $..calc.normal.PrimeCabi,
    e n d . 17/6/94, 5.01.04.


    RUN AGAIN, Enter G/go, else <RETurn> end.?
     
    don.lotto, Dec 27, 2005
    #1
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