Number Theory

Fermat's theorem, prime numbers, algebraic number theory, Euler's theorem, congruences, modulo.

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  1. zvckry

    1-sqrt5 embedded in the Fibonacci numbers themselves through grouping?

    zvckry, Jan 12, 2025
    Replies:
    0
    Views:
    94
    zvckry
    Jan 12, 2025
  2. Seff

    Working on a theory of countable cardinals

    Seff, May 7, 2023
    Replies:
    4
    Views:
    557
    TBPO
    Dec 27, 2024
  3. syndixxx

    Hypergiganton – one of the largest known numbers!

    syndixxx, Dec 20, 2024
    Replies:
    5
    Views:
    165
    syndixxx
    Dec 25, 2024
  4. TashiePro

    An interesting Pattern in Prime Number Gaps

    TashiePro, Nov 9, 2024
    Replies:
    2
    Views:
    211
    math_tutor2020
    Nov 15, 2024
  5. brazilianmathguy

    I did a BFI approach of primes and a bunch of bell curves.

    brazilianmathguy, Nov 3, 2024
    Replies:
    2
    Views:
    163
    Alonzo
    Nov 4, 2024
  6. in2infinity

    Is zero a cardinal number?

    in2infinity, Apr 20, 2022
    Replies:
    3
    Views:
    641
    conway
    Sep 23, 2024
  7. VirajAdani

    Finding Squares Using a Known Square: A Simple Formula Explained

    VirajAdani, Jul 22, 2024
    Replies:
    0
    Views:
    317
    VirajAdani
    Jul 22, 2024
  8. Grigorii Anfimov

    number theory and Riemann's problem solved.

    Grigorii Anfimov, Jul 15, 2024
    Replies:
    0
    Views:
    217
    Grigorii Anfimov
    Jul 15, 2024
  9. Dr_Prime

    Prime Rows of Pascal's Triangle

    Dr_Prime, Jun 22, 2024
    Replies:
    0
    Views:
    282
    Dr_Prime
    Jun 22, 2024
  10. syndixxx

    Formula for finding prime numbers f(a) = a * dr(a) + 1

    syndixxx, Jun 19, 2024
    Replies:
    0
    Views:
    449
    syndixxx
    Jun 19, 2024
  11. syndixxx

    Is Proteus' Theorem true?

    syndixxx, May 19, 2024
    Replies:
    1
    Views:
    298
    RobertSmart
    May 24, 2024
  12. Murray Cantor

    Sub-perfect Numbers

    Murray Cantor, Jan 15, 2024
    Replies:
    7
    Views:
    433
    Logic
    May 9, 2024
  13. Thethinker

    Seeking Efficient Prime Identification Methods for Constrained Numerical Ranges

    Thethinker, Apr 14, 2024
    Replies:
    2
    Views:
    501
    RobertSmart
    Apr 16, 2024
  14. Thethinker

    Innovating Primes: How the Prime Heart Theorem Could Change Everything

    Thethinker, Apr 12, 2024
    Replies:
    3
    Views:
    935
    conway
    Apr 15, 2024
  15. eski

    Meum -the most mysterious irrational number?

    eski, Aug 17, 2023
    Replies:
    3
    Views:
    567
    ROBERTMILLS
    Mar 29, 2024
  16. Logic

    Modular Division Algorithm

    Logic, Aug 25, 2023
    Replies:
    5
    Views:
    536
    conway
    Mar 19, 2024
  17. ddinunno

    Direct Proof of Goldbach's Conjecture

    ddinunno, Mar 6, 2024
    Replies:
    13
    Views:
    718
    conway
    Mar 13, 2024
  18. larsSwe

    Have I found a new perfect number ? 162496

    larsSwe, Mar 11, 2024
    Replies:
    9
    Views:
    596
    Logic
    Mar 11, 2024
  19. syndixxx

    Is Petrov’s “metaremultion” finite?

    syndixxx, Dec 13, 2023
    Replies:
    6
    Views:
    460
    conway
    Dec 14, 2023
  20. nemo

    Fermat's last theorem my thoughts

    nemo, Nov 6, 2023
    Replies:
    1
    Views:
    371
    conway
    Dec 7, 2023
  21. John.Anderson

    New formula for the Riemann Hypothesis

    John.Anderson, Sep 27, 2023
    Replies:
    0
    Views:
    462
    John.Anderson
    Sep 27, 2023
  22. Seff

    A very simple bijection between reals and naturals

    Seff, May 7, 2023
    Replies:
    1
    Views:
    576
    HallsofIvy
    Sep 5, 2023
  23. Seff

    The flaw in Cantor's Diagonalization Argument

    Seff, May 8, 2023
    Replies:
    6
    Views:
    611
    HallsofIvy
    Aug 5, 2023
  24. Seff

    Proof of Countable Reals

    Seff, May 6, 2023
    Replies:
    1
    Views:
    403
    Seff
    May 8, 2023
  25. Seff

    Proof of countable powersets (bijection)

    Seff, May 6, 2023
    Replies:
    0
    Views:
    352
    Seff
    May 6, 2023
  26. genabutov

    Ellipses and hyperbolas of decompositions of even numbers into pairs of prime numbers.

    genabutov, Apr 7, 2023
    Replies:
    0
    Views:
    717
    genabutov
    Apr 7, 2023
  27. Martynov_M

    The Collatz conjecture

    Martynov_M, Apr 4, 2023
    Replies:
    0
    Views:
    676
    Martynov_M
    Apr 4, 2023
  28. ddinunno

    Corrected Proof of Goldbach's Conjecture

    ddinunno, Mar 29, 2023
    Replies:
    3
    Views:
    575
    ddinunno
    Mar 31, 2023
  29. fluo2005

    Where are all the prime numbers hidden?

    fluo2005, Feb 25, 2021
    Replies:
    12
    Views:
    1,030
    ddinunno
    Mar 5, 2023
  30. ddinunno

    Goldbach's Conjecture - proposed proof

    ddinunno, Mar 1, 2023
    Replies:
    1
    Views:
    754
    ddinunno
    Mar 4, 2023
  31. jonesk79

    Doubling theory and vortex math

    jonesk79, Oct 3, 2022
    Replies:
    0
    Views:
    970
    jonesk79
    Oct 3, 2022
  32. shivajikobardan

    Is there some restrictions on values of p,q,d,e etc in RSA algorithm while trying to encrypt English

    shivajikobardan, Aug 28, 2022
    Replies:
    0
    Views:
    600
    shivajikobardan
    Aug 28, 2022
  33. Dimiter Skordev

    Multiplicative orders modulo powers

    Dimiter Skordev, Aug 16, 2022
    Replies:
    1
    Views:
    422
    Dimiter Skordev
    Aug 18, 2022
  34. Ian M

    Just posted this on the intro site, but think I should have posted here. Oops

    Ian M, Mar 13, 2022
    Replies:
    1
    Views:
    414
    BobLeMagnifik
    Jun 26, 2022
  35. paulejking

    Not a Mersenne prime, but what is it?

    paulejking, Jul 26, 2021
    Replies:
    1
    Views:
    472
    BobLeMagnifik
    Jun 26, 2022
  36. ter

    Is Fermat's "Last Theorem" really Fermat's theorem?

    ter, May 15, 2022
    Replies:
    1
    Views:
    456
    ter
    May 15, 2022
  37. DmitriMartila777

    Birch and Swinnerton-Dyer Conjecture

    DmitriMartila777, Apr 23, 2022
    Replies:
    0
    Views:
    352
    DmitriMartila777
    Apr 23, 2022
  38. PixelEight

    Is there any truth to this?

    PixelEight, Apr 18, 2021
    Replies:
    3
    Views:
    690
    Country Boy
    Jan 16, 2022
  39. olgaSamara

    About the "Hoppa's numbers" (according to Petrov and not only...)

    olgaSamara, Aug 24, 2021
    Replies:
    2
    Views:
    673
    perotinus1983
    Dec 19, 2021
  40. perotinus1983

    Variations on Ulam

    perotinus1983, Dec 18, 2021
    Replies:
    4
    Views:
    598
    perotinus1983
    Dec 18, 2021
  41. olgaSamara

    Are there "Petrov primes" for a > 5000 ?

    olgaSamara, Aug 19, 2021
    Replies:
    13
    Views:
    820
    olgaSamara
    Aug 24, 2021
  42. MDV

    Binets formula (Fibonacci numbers) - eliminating root(5)

    MDV, Jan 18, 2020
    Replies:
    1
    Views:
    1,082
    paulejking
    Jul 26, 2021
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