A190583 The smallest prime(j) in a sequence of 7 consecutive primes such that the associated 2*prime(k)+3, k=j..j+6, are also prime.

4827859, 5413813, 59069473, 59069489, 171426679, 189784123, 191766193, 196232137, 306928507, 359727833, 367733497, 409634959, 452273897, 508068287, 644033227, 665209213, 737454929, 879260659, 889580717, 924491669

Offset

1,1

Comments

Concerning the even more stringent case of 8 consecutive primes: 59069473 is the least prime(j) of 8 consecutives primes prime(k) such that 2*prime(k)+3 are primes for k=j to j+7 and 3203934593 is the next prime with the same property.

Links

Table of n, a(n) for n=1..20.

Example

4827859, 4827863, ..., 4827943 are seven consecutive primes, and the associated seven 9655721, 9655729, ..., 9655889 are also prime numbers. This puts 4827859 into the sequence.

Maple

isA023204 := proc(n) isprime(n) and isprime(2*n+3) ; end proc:
isA190583 := proc(n) local q, s ; q := n ; if isA023204(q) then for s from 1 to 6 do q := nextprime(q) ; if not isA023204(q) then return false; end if; end do; return true; else return false; end if; end proc:
p := 2 : for i from 1 do if isA190583(p) then print(p) ; end if; p := nextprime(p) ; end do: # R. J. Mathar, Jun 02 2011

Crossrefs

Cf. A190478.

Sequence in context: A204053 A176772 A017538 * A034637 A043637 A232676

Adjacent sequences: A190580 A190581 A190582 * A190584 A190585 A190586

Keyword

nonn

Author

Pierre CAMI, May 13 2011

Status

approved