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Single Curio View: (Seek other curios for this number) 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: 20091016 14:55:45; Last Modified: 20091104 20:31:09.
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