# 127

This number is a prime.

Just showing those entries submitted by 'Capelle': (Click here to show all)

The smallest odd prime number that cannot be expressed as the sum of a power of two and a prime (so it is also the smallest prime that becomes composite upon changing any one of the bits in its binary expansion). [Capelle]

M(127) = M(M(7)) = M(M(M(3))) = M(M(M(M(2)))). Note that M(2), M(3), M(7) and M(127) are all Mersenne primes. [Capelle]

The largest known prime p such that
p^{2} mod q is odd, where q is the
previous prime. [Capelle]

The largest known prime number that cannot be written as a sum of cubes greater than one. It's the only such prime written with two cubes concatenated. [Capelle]

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