A259360 Initial prime in the least set of exactly n+1 consecutive primes with n gaps all multiples of 4.

7, 89, 199, 883, 12401, 463, 36551, 11593, 183091, 766261, 3358169, 241603, 11739307, 9177431, 12270077, 105639091, 310523021, 297779117, 727334879, 5344989829, 1481666377, 2572421893, 1113443017, 79263248027, 84676452781

Offset: 1

Author

Zak Seidov, Jun 24 2015

Keywords

• nonn

Examples

			a(6)=463 because the first set of 7 consecutive primes is {463,467,479,487,491,499,503} with 6 gaps {4,12,8,4,8,4} all multiples of 4 while the next prime after 503 is 509 and 509-503=6 is not a multiple of 4.
		

Links

• Giovanni Resta, Charles R Greathouse IV and Zak Seidov, Table of n, a(n) for n = 1..33

Crossrefs

Cf. A054678, A054679, A054680, A080378, A098059.

Programs

PARI

back(p,n)=while(n,p=precprime(p-1); n--); p
v=vector(20); g=0; p=2; forprime(q=3,1e6, if((q-p)%4, if(g&&g<=#v&&v[g]==0, v[g]=back(p,g)); g=0, g++);p=q); v \\ Charles R Greathouse IV, Jul 14 2015

Extensions

a(13)-a(14) corrected by Charles R Greathouse IV, Jul 14 2015

a(24)-a(25) by Zak Seidov, Jul 15 2015