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 A258578 Primes p such that difference between p and next prime after p is multiple of 6. 1
 23, 31, 47, 53, 61, 73, 83, 131, 151, 157, 167, 173, 199, 211, 233, 251, 257, 263, 271, 331, 353, 367, 373, 383, 433, 443, 467, 503, 509, 523, 541, 557, 563, 571, 587, 593, 601, 607, 619, 647, 653, 661, 677, 727, 733, 751, 797, 941, 947, 971, 977, 991, 997 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A031924 is subsequence: first 12 terms are the same. LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 EXAMPLE a(1)=23 because next prime after 23 is 29=23+6, a(13)=199 because next prime after 199 is 211=199+12, a(30)=523 because next prime after 523 is 541=523+18, a(90)=1669 because next term after 1669 is 1693=1669+24, a(199)=4297 because next prime after 4297 is 4327=4297+30. PROG (PARI) lista(nn) = forprime(p=2, nn, if (!((nextprime(p+1) - p) % 6), print1(p, ", ")); ); \\ Michel Marcus, Jun 04 2015 (PARI) v=List(); p=2; forprime(q=3, 1e4, if((q-p)%6==0, listput(v, p)); p=q); v \\ Charles R Greathouse IV, Jun 04 2015 CROSSREFS Cf. A031924, A124582, A130796. Sequence in context: A083370 A124582 A130796 * A031924 A257528 A240886 Adjacent sequences:  A258575 A258576 A258577 * A258579 A258580 A258581 KEYWORD nonn AUTHOR Zak Seidov, Jun 04 2015 STATUS approved

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Last modified January 20 17:05 EST 2019. Contains 319335 sequences. (Running on oeis4.)