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A257374 Numbers n such that n, n+4, n+10, n+12, n+16, n+22, n+24, n+30, n+36, n+40, n+42, n+46, n+52, n+54, n+60, n+64 and n+66 are all prime. 26

%I #23 Apr 11 2022 22:04:42

%S 734975534793324512717947,753314125249587933791677,

%T 1341829940444122313597407

%N Numbers n such that n, n+4, n+10, n+12, n+16, n+22, n+24, n+30, n+36, n+40, n+42, n+46, n+52, n+54, n+60, n+64 and n+66 are all prime.

%H Tony Forbes and Norman Luhn, <a href="http://www.pzktupel.de/ktuplets">k-tuplets</a>

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

%Y twin primes: A001359.

%Y prime triples: A007529 out of A022004, A022005.

%Y prime quadruplets: A007530.

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

%Y prime sextuplets: A022008.

%Y prime septuplets: A257124 out of A022009, A022010.

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

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

%Y prime decaplets: A257127 out of A027569, A027570.

%Y prime 11-tuplets: A257129 out of A213646, A213647.

%Y prime 12-tuplets: A257131 out of A213601, A213645.

%Y prime 13-tuplets: A257135 out of A214947, A257137, A257138, A257139, A257140, A257141.

%Y prime 14-tuplets: A257166 out of A257167, A257168.

%Y prime 15-tuplets: A257169 out of A257304, A257305, A257306, A257307.

%Y prime 16-tuplets: A257308 out of A257369, A257370.

%Y prime 17-tuplets: A257373 out of this sequence, A257375, A257376, A257377.

%K nonn,more

%O 1,1

%A _Tim Johannes Ohrtmann_, Apr 21 2015

%E a(3) from _Norman Luhn_, Oct 27 2021

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)