Search: id:A129592
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%I A129592
%S A129592 2,7,13,43,53,59,127
%N A129592 Can three squares with consecutive prime sides be contained in a larger 
               square also with a prime sides just one greater than required? The 
               sequence lists the first of a group of three consecutive primes.
%C A129592 A challenge would be to find three squared primes summing to a perfect 
               square; further would be to find that a perfect square of a prime.
%F A129592 Add the squares of three consecutive primes; take the square root of 
               that total to see whether or not it is less than one away from a 
               prime greater than that square root.
%e A129592 Take 13,17,19 with summed squares 169+289+361=819. The square root
%e A129592 is about 28.6 and this is less than one away from 29, so it is placed
%e A129592 in the sequence.
%Y A129592 Sequence in context: A051748 A086904 A026555 this_sequence A153136 A127487 
               A072060
%Y A129592 Adjacent sequences: A129589 A129590 A129591 this_sequence A129593 A129594 
               A129595
%K A129592 nonn,uned
%O A129592 1,1
%A A129592 J. M. Bergot (thekingfishb(AT)yahoo.ca), May 30 2007

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