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 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. 0
 4827859, 5413813, 59069473, 59069489, 171426679, 189784123, 191766193, 196232137, 306928507, 359727833, 367733497, 409634959, 452273897, 508068287, 644033227, 665209213, 737454929, 879260659, 889580717, 924491669 (list; graph; refs; listen; history; text; internal format)
 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 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: A248587 A204053 A017538 * A034637 A043637 A232676 Adjacent sequences:  A190580 A190581 A190582 * A190584 A190585 A190586 KEYWORD nonn AUTHOR Pierre CAMI, May 13 2011 STATUS approved

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Last modified July 6 02:23 EDT 2022. Contains 355108 sequences. (Running on oeis4.)