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A112789 Primes such that the sum of the predecessor and successor primes is divisible by 11. 15
31, 43, 67, 109, 131, 139, 191, 617, 727, 881, 911, 937, 953, 991, 1049, 1289, 1381, 1429, 1543, 1571, 1619, 1657, 1693, 1721, 1723, 1777, 1783, 1871, 1979, 2251, 2311, 2341, 2377, 2441, 2531, 2579, 2837, 2953, 3061, 3221, 3257, 3557, 3559, 3631, 3673 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) = prime(i) is in this sequence iff prime(i-1)+prime(i+1) = 0 mod 11. a(n) = A000040(i) is in this sequence iff A000040(i-1)+A000040(i+1) = 0 mod 11.
EXAMPLE
a(1) = 31 because prevprime(31) + nextprime(31) = 29 + 37 = 66 = 11 * 6.
a(2) = 43 because prevprime(43) + nextprime(43) = 41 + 47 = 88 = 11 * 8.
a(3) = 67 because prevprime(67) + nextprime(67) = 61 + 71 = 132 = 11 * 12.
a(4) = 109 because prevprime(109) + nextprime(109) = 107 + 113 = 220 = 11 * 20.
MATHEMATICA
Prime@ Select[Range[2, 515], Mod[Prime[ # - 1] + Prime[ # + 1], 11] == 0 &] (* Robert G. Wilson v *)
Transpose[Select[Partition[Prime[Range[550]], 3, 1], Divisible[First[#]+ Last[#], 11]&]][[2]] (* Harvey P. Dale, Jul 22 2011 *)
CROSSREFS
Sequence in context: A139883 A060834 A060844 * A266989 A161615 A307950
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Jan 01 2006
EXTENSIONS
More terms from Robert G. Wilson v, Jan 05 2006
STATUS
approved

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Last modified May 28 05:47 EDT 2024. Contains 372902 sequences. (Running on oeis4.)