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Topic: Brainteaser n
Replies: 15   Last Post: Aug 6, 2003 7:10 AM

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Daniel Joseph Min

Posts: 57
Registered: 12/13/04
Re: Brainteaser n
Posted: Jan 13, 2003 2:57 PM
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On Mon 13 Jan 2003 09:38:12 -0000 "The Last Danish Pastry"
<> wrote

>"the product of the first 111 repunits"
>Clive Tooth


Given the lottery of who lives where and who sees what first, you were one
of the four I expected to first crack it.

It was obvious that a product of repunits was involved: besides what I
wrote in my other responses in this thread, the frequency of high powers of
some primes were a strong pointer.

But Clive, did you stop at the 111th because of:
(a) intuition / promised economy, or
(b) consideration of the powers of some of the prime factors, or
(c) the "just over 6100 decimal digits", or
(d) the absence of 73765755896403138401 or 119968369144846370226083377 from
the factors (and if so, how did you rule it most likely that *consecutive*
repunits were being multiplied?), or .. ?


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