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Search: id:A129592
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| A129592 |
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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. |
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1
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OFFSET
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1,1
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COMMENT
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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.
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FORMULA
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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.
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EXAMPLE
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Take 13,17,19 with summed squares 169+289+361=819. The square root
is about 28.6 and this is less than one away from 29, so it is placed
in the sequence.
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CROSSREFS
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Sequence in context: A051748 A086904 A026555 this_sequence A153136 A127487 A072060
Adjacent sequences: A129589 A129590 A129591 this_sequence A129593 A129594 A129595
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KEYWORD
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nonn,uned
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AUTHOR
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J. M. Bergot (thekingfishb(AT)yahoo.ca), May 30 2007
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