73

This number is a prime.

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The smallest prime that is the middle term of three consecutive numbers each expressible as a sum of two nonzero squares: 72 = 6² + 6² ; 73 = 3² + 8² ; 74 = 5² + 7². Note that replacing the first prime digit 7 by the prime 23 forms instead the smallest prime (233) that is the middle term of three consecutive numbers each expressible as a sum of two distinct nonzero squares: 232 = 6² + 14² ; 233 = 8² + 13² ; 234 = 3² + 15². [Beedassy]

Submitted: 2009-10-16 19:55:45; Last Modified: 2009-11-05 02:31:09.