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 A113156 Primes such that the sum of the predecessor and successor primes is divisible by 37. 15
 181, 443, 557, 661, 967, 1109, 1553, 1951, 2069, 2441, 2551, 3257, 3371, 4001, 4783, 5179, 5987, 6143, 6217, 6473, 6701, 6803, 6841, 7213, 8431, 8663, 8839, 8887, 9283, 9511, 9839, 9883, 10177, 10589, 10771, 10883, 11059, 11093, 11173, 11437, 11657 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 FORMULA a(n) = prime(i) is in this sequence iff prime(i-1)+prime(i+1) = 0 mod 37. a(n) = A000040(i) is in this sequence iff A000040(i-1)+A000040(i+1) = 0 mod 37. EXAMPLE a(1) = 181 since prevprime(181) + nextprime(181) = 179 + 191 = 370 = 37 * 10. a(2) = 443 since prevprime(443) + nextprime(443) = 439 + 449 = 888 = 37 * 24. a(3) = 557 since prevprime(557) + nextprime(557) = 547 + 563 = 1110 = 37 * 30. a(4) = 661 since prevprime(661) + nextprime(661) = 659 + 673 = 1332 = 37 * 36. MATHEMATICA Prime@Select[Range[2, 1463], Mod[Prime[ # - 1] + Prime[ # + 1], 37] == 0 &] (* Robert G. Wilson v *) Transpose[Select[Partition[Prime[Range], 3, 1], Divisible[First[#]+ Last[#], 37]&]][] (* Harvey P. Dale, Dec 19 2011 *) CROSSREFS Cf. A000040, A112681, A112794, A112731, A112789, A112795, A112796, A112804, A112847, A112859, A113155, A113156, A113157, A113158. Sequence in context: A108847 A063360 A217499 * A142391 A142552 A211553 Adjacent sequences:  A113153 A113154 A113155 * A113157 A113158 A113159 KEYWORD easy,nonn AUTHOR Jonathan Vos Post, Jan 05 2006 EXTENSIONS More terms from Robert G. Wilson v, Jan 11 2006 STATUS approved

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Last modified January 22 21:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)