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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 14:55:45;   Last Modified: 2009-11-04 20:31:09.



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