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Search: id:A113157
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| A113157 |
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Primes such that the sum of the predecessor and successor primes is divisible by 41. |
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+0
15
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| 283, 409, 739, 983, 1021, 2213, 2251, 2339, 2663, 2749, 3079, 3821, 3931, 4219, 4463, 4799, 4919, 5413, 5741, 6271, 6917, 7703, 7753, 7873, 8287, 8861, 9013, 10091, 10427, 10709, 11317, 11483, 12421, 12917, 13037, 13693, 13781, 14029, 14759
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A112681 is mod 3 analogy. A112794 is mod 5 analogy. A112731 is mod 7 analogy. A112789 is mod 11 analogy. A112795 is mod 13 analogy. A112796 is mod 17 analogy. A112804 is mod 19 analogy. A112847 is mod 23 analogy. A112859 is mod 29 analogy.
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FORMULA
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a(n) = prime(i) is in this sequence iff prime(i-1)+prime(i+1) = 0 mod 41. a(n) = A000040(i) is in this sequence iff A000040(i-1)+A000040(i+1) = 0 mod 41.
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EXAMPLE
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a(1) = 283 since prevprime(283) + nextprime(283) = 281 + 293 = 574 = 41 * 14.
a(2) = 409 since prevprime(409) + nextprime(409) = 401 + 419 = 820 = 41 * 20.
a(3) = 739 since prevprime(739) + nextprime(739) = 733 + 743 = 1476 = 41 * 36.
a(4) = 983 since prevprime(983) + nextprime(983) = 977 + 991 = 1968 = 41 * 48.
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MATHEMATICA
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Prime@Select[Range[2, 1766], Mod[Prime[ # - 1] + Prime[ # + 1], 41] == 0 &] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A000040, A112681, A112794, A112731, A112789, A112795, A112796, A112804, A112847, A112859, A113155, A113156, A113157, A113158.
Sequence in context: A142937 A081424 A142699 this_sequence A142446 A059257 A142837
Adjacent sequences: A113154 A113155 A113156 this_sequence A113158 A113159 A113160
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 05 2006
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Jan 11 2006
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