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Search: id:A141281
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| A141281 |
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Primes p such that p-6^4, p-6^3, p-6^2, p-6, p, p+6, p+6^2, p+6^3 and p+6^4 are primes. |
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+0 4
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| 11459317, 18726137, 73718633, 181975727, 361471043, 374195537, 419533753, 420522673, 428739323, 429198703, 456975157, 483576523, 544795393, 653578573, 682118777, 703313623, 753422317, 764967257, 797492477, 960985037, 1059913073
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Subsequence of A006489, A141279 and A141280. Each term is congruent to 1 or 10 mod 11 so for no prime p can this pattern be extended also to include primes p-6^5 and p+6^5 (one of them is divisible by 11). See A070392 for residues mod 11 of powers of 6. As each term of A006489 greater than 11 is congruent to 3 or 7 mod 10, combining results gives that a(n) is congruent to 23, 43, 67, or 87 mod 110.
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LINKS
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Rick L. Shepherd, Table of n, a(n) for n = 1..55
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CROSSREFS
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Cf. A006489, A141279, A141280, A141282, A070392.
Sequence in context: A069341 A072142 A043674 this_sequence A028241 A123086 A022227
Adjacent sequences: A141278 A141279 A141280 this_sequence A141282 A141283 A141284
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KEYWORD
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nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 22 2008
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