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 A259360 Initial prime in the least set of exactly n+1 consecutive primes with n gaps all multiples of 4. 2
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified February 29 13:01 EST 2024. Contains 370425 sequences. (Running on oeis4.)