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Search: id:A130621
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| A130621 |
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List the first term of each triple of consecutive primes with the property that their sum is the square of a prime. |
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| 13, 37, 277, 313, 613, 7591, 8209, 12157, 23053, 32233, 42953, 44887, 105649, 225769, 245941, 258707, 287671, 331333, 342049, 346111, 347443, 393853, 560719, 721267, 867253, 1001089, 1064431, 1219849, 1545127, 1556623, 1617727, 1752607
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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(37, 41, 43) is a triple of consecutive prime numbers; their sum is 121 which is a prime squared. Hence 37 is in the sequence.
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MATHEMATICA
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a={}; For[n=1, n<100000, n++, If[PrimeQ[Sqrt[Prime[n]+Prime[n+1]+Prime[n+2]]], AppendTo[a, Prime[n]]]]; a
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CROSSREFS
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Adjacent sequences: A130618 A130619 A130620 this_sequence A130622 A130623 A130624
Sequence in context: A036570 A090042 A078952 this_sequence A098265 A129541 A044090
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KEYWORD
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nonn
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AUTHOR
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J. M. Bergot (thekingfishb(AT)yahoo.ca), Jun 18 2007
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EXTENSIONS
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Edited and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 23 2007
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