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

1,1

Links

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

Example

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.

Prog

(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

Crossrefs

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

Sequence in context: A220193 A220357 A054678 * A301925 A036902 A142204

Adjacent sequences: A259357 A259358 A259359 * A259361 A259362 A259363

Keyword

nonn

Author

Zak Seidov, Jun 24 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

Status

approved