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A217603 Consider sets of 3 consecutive primes a, b, c such that c - a = 100, then sequence gives the values of b. 2
58831, 286927, 360653, 404941, 590489, 623107, 651587, 673747, 710119, 740801, 779413, 794831, 795427, 1040311, 1107269, 1185241, 1206869, 1320437, 1392007, 1568771, 1581829, 1599803, 1601953, 1613201, 1721081, 1744927, 1942273, 1951321, 1994299, 2024063 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..30.

Zak Seidov, Table of n, a, b, c for n=1..1000

Zak Seidov, Table of n, a, b, c for n=1..1000

EXAMPLE

a(1) = 58831 because {58789, 58831, 58889} is the first set of 3 consecutive primes a, b, c with c-a=100.

a(2) = 286927 because {286873, 286927, 286973} is the second set of 3 consecutive primes a, b, c with c-a=100.

a(1000) = 23090087 because {23090059, 23090087, 23090159} is the 1000th set of 3 consecutive primes a, b, c with c-a=100.

MATHEMATICA

s = {}; a = 2; b = 3; c = 5; Do[If[c - a == 100, AppendTo[s, b]; Print[{a, b, c}]]; a = b; b = c; c = NextPrime[c], {10^5}]; s

PROG

(PARI) p=2; q=3; forprime(r=5, 1e6, if(r-p==100, print1(q", ")); p=q; q=r) \\ Charles R Greathouse IV, Nov 14 2012

CROSSREFS

Cf. A166251, A217561, A217566, A217577.

Sequence in context: A147700 A214118 A157131 * A205233 A235953 A343374

Adjacent sequences:  A217600 A217601 A217602 * A217604 A217605 A217606

KEYWORD

nonn

AUTHOR

Zak Seidov, Oct 08 2012

STATUS

approved

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Last modified January 19 17:26 EST 2022. Contains 350466 sequences. (Running on oeis4.)