A257138 - OEIS

A257138

Numbers n such that n, n+4, n+6, n+10, n+16, n+18, n+24, n+28, n+30, n+34, n+36, n+46 and n+48 are all prime.

1707898733581273, 3266590043460823, 4422879865247923, 10907318641689703, 32472302129057023, 52590359764282573, 60229684381540753, 67893346321234513, 93179596929433093, 115458868925574253, 140563537593599353, 142977538681261363, 148877505784397623, 166362638531783773, 232442516762530153, 236585787518684683, 255933372890105143, 317294052871840123, 325853825645632363, 337188071215909993, 344447962857168403

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OFFSET

1,1

LINKS

Vladimir Vlesycit and Matt C. Anderson and Dana Jacobsen, Table of n, a(n) for n = 1..802 [first 21 terms from Vladimir Vlesycit, first 90 terms from Matt C. Anderson]

Tony Forbes and Norman Luhn, Smallest Prime k-tuplets

Norman Luhn, Table of n, a(n) for n = 1..5290

PROG

(PARI) Q=isprime;

isok(n) = Q(n) && Q(n+4) && Q(n+6) && Q(n+10) && Q(n+16) && Q(n+18) && Q(n+24) && Q(n+28) && Q(n+30) && Q(n+34) && Q(n+36) && Q(n+46) && Q(n+48); \\ Michel Marcus, Aug 04 2015

(Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 10**16, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48); # Dana Jacobsen, Oct 09 2015

CROSSREFS

Initial members of all of the first prime k-tuplets:

twin primes: A001359.

prime triples: A007529 out of A022004, A022005.

prime quadruplets: A007530.

prime 5-tuples: A086140 out of A022007, A022006.

prime sextuplets: A022008.

prime septuplets: A257124 out of A022009, A022010.

prime octuplets: A065706 out of A022011, A022012, A022013.

prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.

prime decaplets: A257127 out of A027569, A027570.