# 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 = 6^{2}+ 6

^{2}; 73 = 3

^{2}+ 8

^{2}; 74 = 5

^{2}+ 7

^{2}. 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 = 6

^{2}+ 14

^{2}; 233 = 8

^{2}+ 13

^{2}; 234 = 3

^{2}+ 15

^{2}. [Beedassy]

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

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