A248199 Initial primes of sets of 8 consecutive primes all different by modulo 30.

2, 3, 5, 7, 11, 13, 17, 19, 47, 499, 673, 677, 769, 1277, 1279, 1327, 1697, 2357, 3163, 3907, 4057, 4133, 4909, 5479, 5669, 6047, 7283, 9349, 9533, 9539, 9547, 9923, 10667, 11149, 11159, 12277, 12841, 17167, 17431, 17443, 21101, 21379, 22549, 22567, 22993, 24181, 24337, 24659, 24671, 25219, 26161

Offset

1,1

Links

Zak Seidov, Table of n, a(n) for n = 1..7000

A. Granville and G. Martin, Prime number races, arXiv:math/0408319 [math.NT], 2004.

Example

47 is a term because 8 consecutive primes {47, 53, 59, 61, 67, 71, 73, 79} are congruent to {17, 23, 29, 1, 7, 11, 13, 19} mod 30; all distinct by modulo 30.

Prog

(PARI) isok(n) = {v = []; for (i=0, 7, pm = prime(i+n) % 30; if (! vecsearch(v, pm), v = vecsort(concat(v, pm)), return (0)); ); return (1); }
lista(nn) = {forprime(p=2, nn, if (isok(primepi(p)), print1(p, ", ")); ); } \\ Michel Marcus, Oct 06 2014

Crossrefs

Cf. A095959 (primes modulo 30).

Sequence in context: A321150 A088415 A175063 * A198196 A139054 A290959

Adjacent sequences: A248196 A248197 A248198 * A248200 A248201 A248202

Keyword

nonn

Author

Zak Seidov, Oct 03 2014

Status

approved