59

This number is a prime.

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59 divides 616161... 61 (repeated 29*n times, n integer), but 61 divides 595959... 59 (repeated 30*n times, n integer). Note that 29 and 30 are consecutive numbers and also that 59 and 61 are consecutive primes. [Capelle]

Submitted: 2003-07-12 11:37:22; Last Modified: 2009-01-31 13:22:52.