# Very big numbers

Discussion in 'Recreational Math' started by Ravi Kulkarni, Dec 18, 2003.

1. ### Ravi KulkarniGuest

Everyone knows about numbers like googol (10^100) and googolplex (10^googol).
For fun my son and I came up with the following nomenclature:

10^googolplex = 1 googolduplex
10^googolduplex = 1 googoltriplex

and fun numbers like

1 googolcentplex (above procedure repeated 100 times)
1 googolmilleplex (repeated 1000 times)
1 googolmegaplex (repeated million times)
1 googolgigaplex (repeated billion times)
1 googolteraplex (repeated trillion times)

and so on.

Ravi Kulkarni

Ravi Kulkarni, Dec 18, 2003

2. ### Hendrik MarynsGuest

| Everyone knows about numbers like googol (10^100) and googolplex (10^googol).
| For fun my son and I came up with the following nomenclature:
|
| 10^googolplex = 1 googolduplex
| 10^googolduplex = 1 googoltriplex
|
| and fun numbers like
|
| 1 googolcentplex (above procedure repeated 100 times)
| 1 googolmilleplex (repeated 1000 times)
| 1 googolmegaplex (repeated million times)
| 1 googolgigaplex (repeated billion times)
| 1 googolteraplex (repeated trillion times)
| 1 googolpetaplex (repeated quadrillion times)
|
| and so on.
|
Actually, if you ask a set theorists, these numbers aren't big at all, since
they are still "reachable" (even better: they are natural numbers)...
But I'm afraid I can't give a good definition of which njumbers are reachable
and which aren't.

Math rules!
H.

Hendrik Maryns, Dec 19, 2003

3. ### William ElliotGuest

He's a bit slow.
....

But a whiz kid even faster
....

Are you up to speed now?
Oh, one more thing. Google is so small, so jump the gun with
google = 10^trillion. Naw, still not big enuf, let

To join the jet set go google on
'Graham's number' and 'Kunth's arrow notation'.
Look also for notion ^, ^^, ^^^, ...
a^b = a^b
a^^b = a^b^b^b...^b, b times
a^^^b = a^^b^^b^^b...^^b, b times
....
and Ackermann function, giants amonst the hypergoogleplexed ants.

All the above read with convention of right association, ie
a^b^c = a^(b^c) as a^b^c = (a^b)^c = a^bc so mundane.

Riddle of the day:
can the mushrooming national debt be hidden under the Bush?

William Elliot, Dec 19, 2003
4. ### Peter WebbGuest

<SNIP>

Untrue. The Googolplex (like the google) was defined by the 10 year old son
of one of the authors of the classic Courant & Robbins: What is
Mathematics?. He defined a "1 with a googol of zeroes" which is of course
10^googol.

Peter Webb, Dec 19, 2003
5. ### Phil CarmodyGuest

Edward Kasner named the googolplex, his nephew named the google, as I remember it.

Phil

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Unpatched IE vulnerability: XSS in Unparsable XML Files
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Phil Carmody, Dec 19, 2003
6. ### William ElliotGuest

Blah, you miss my point which is to consider the series,
instead of the pickayunne names you call it.

William Elliot, Dec 20, 2003
7. ### Peter WebbGuest

You may be right. I pulled out my copy of What is Mathematics - sighed
deeply when I saw that I purchased it in 1972 and probably haven't opened it
in 30 years - and google doesn't appear in the index.

Peter Webb, Dec 20, 2003
8. ### Phil CarmodyGuest

/Mathematics and the Imagination/ by Kasner and Newman
( http://www.amazon.com/exec/obidos/A...5942065/sr=1-1/ref=sc_b_1/104-4126383-2740715 )
was the second book I ever bought. I believe that had a tiny anecdote about
the naming. However, I no longer have teh book with me. Before posting my
last post I made sure I went via
mathforum.org/library/drmath/view/57575.html
to check that I wasn't misremembering.
Try a search engine for that term

Phil

Phil Carmody, Dec 20, 2003