A267692 Terms of A030461 that give successive gap records.

23, 3137, 199211, 523541, 16691693, 1393313963, 2428124317, 3498135023, 4028940343, 191353191413, 221327221393, 507217507289, 843911844001, 25654632565559, 55778515577959, 82237498223863, 1127656111276687, 1280935912809491, 2038858320388727, 3338451733384667, 5272111352721287, 9280102992801209

Offset

1,1

Comments

Subsequence of A030461.

Links

Jean-Marc Rebert, Table of n, a(n) for n = 1..23

Example

a(1) = A030461(1) = 23. gap = 3 - 2 = 1.
a(2) = 3137, because 3137 is the first term in A030461 > 23, with gap = 37 - 31 = 6 > 1.
a(3) = 199211, because 199211 is the first term in A030461 > 3137, with gap = 211 - 199 = 12 > 6.

Mathematica

Reap[For[record = 0; p = 2, p < 10^8, p = NextPrime[p], If[PrimeQ[pp = FromDigits[Join[IntegerDigits[p], IntegerDigits[np = NextPrime[p]]]]], If[np - p > record, record = np - p; Print[pp]; Sow[pp]]]]][[2, 1]] (* Jean-François Alcover, Mar 02 2016 *)

Crossrefs

Cf. A030461, A267721.

Sequence in context: A088385 A030461 A152521 * A136363 A340330 A290786

Adjacent sequences: A267689 A267690 A267691 * A267693 A267694 A267695

Keyword

base,nonn

Author

Jean-Marc Rebert, Jan 19 2016

Status

approved