# 61

This number is a prime.

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The smallest prime that can be written as the sum of a prime number of primes to prime powers in a prime number of ways: 2^{2} + 2^{3} + 7^{2}, 2^{2} + 5^{2} + 2^{5}, and 3^{2} + 5^{2} + 3^{3}. [Hartley]

The smallest prime for which the decimal expansion of the reciprocal 1/61 contains all 10 digits in equal proportions. [Hartley]

The largest known prime of the form *Ack*(*m*, *m*), where *Ack* is the Ackermann function (which grows faster than an exponential function). *Ack*(3, 3) = 61. [Hartley]

There are 61 abstract groups of order 1464. Note that 61 divides 1464. [Hartley]

Cyclist Lance Armstrong defeated Jan Ullrich by 61 seconds in the 2003 Tour de France. [Hartley]