This number is a prime.

+ The American mathematician Lowell Schoenfeld (1920-2002) proved that if the Riemann hypothesis was true, then

for all x greater than or equal to 2657.

+ 2657# + 1 is the smallest titanic primorial prime of form p# + 1. [Loungrides]

+ 2657 has a peculiar property. It can be written as the sum of a power of its first digit and a power of its last digit, i.e., 2657 = 2^8 + 7^4. [Leonardis]

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