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A161002
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Least prime of three consecutive primes (p1,p2,p3) such that p2-p1 and p3-p2 are both perfect squares.
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3
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9547, 12853, 22189, 22303, 27127, 29881, 32257, 40387, 42859, 46771, 46957, 47977, 57601, 60037, 60457, 71593, 72577, 73783, 77101, 84247, 88423, 89137, 90547, 93427, 97459, 97609, 97879, 112507, 115021, 118927, 126271, 127873, 131317
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OFFSET
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1,1
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COMMENTS
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Sequence is probably infinite.
a(3859)=11981443 is the first term in the sequence where neither of the prime gaps is 36.
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 1..1000
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EXAMPLE
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Consecutive primes (22189,22193,22229) have gaps (4,36) so 22189 is in the sequence.
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MATHEMATICA
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Transpose[Select[Partition[Prime[Range[12300]], 3, 1], IntegerQ[Sqrt[#[[2]]- #[[1]]]]&&IntegerQ[Sqrt[#[[3]]-#[[2]]]]&]][[1]] (* From Harvey P. Dale, Dec 21 2011 *)
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CROSSREFS
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Cf. A138198.
Sequence in context: A084687 A086083 A202613 * A134117 A162029 A223367
Adjacent sequences: A160999 A161000 A161001 * A161003 A161004 A161005
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KEYWORD
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nonn
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AUTHOR
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Ki Punches (ki1212(AT)pocketmail.com), Jun 01 2009
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EXTENSIONS
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Edited by Ray Chandler, Jun 08 2009
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STATUS
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approved
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