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Search: id:A161002
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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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+0
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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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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EXAMPLE
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Consecutive primes (22189,22193,22229) have gaps (4,36) so 22189 is in the sequence.
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CROSSREFS
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Cf. A138198.
Sequence in context: A139676 A084687 A086083 this_sequence A134117 A162029 A136476
Adjacent sequences: A160999 A161000 A161001 this_sequence 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 (rayjchandler(AT)sbcglobal.net), Jun 08 2009
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