Freethought & Rationalism Archive

Principia · 08-15-2002, 01:51 PM

Quote:

Originally posted by Coragyps:
<strong>But all I wanted to know was if the integer comprising seventeen 1's in a row is prime. Well, that one and nineteen 1's, too.</strong>

Actually, given any number, does there always exist a prime in which the number is part of its base 10 representation? Another way to phrase this problem: given a number x such that 1 <= x/10^N < 10, can we find nonnegative integers y and z such that:
1 <= z/10^M < 10
p = z + 10*x * 10^M + 100*y * 10^M * 10^N
p is prime?

[ August 15, 2002: Message edited by: Scientiae ]</p>

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