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

Author

Zak Seidov, Oct 03 2014

Keywords

• nonn

Examples

			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.
		

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.

Crossrefs

Cf. A095959 (primes modulo 30).

Programs

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