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A257127 Initial members of prime 10-tuplets (or decaplets). 28

%I #35 May 06 2022 20:23:52

%S 11,9853497737,21956291867,22741837817,33081664151,83122625471,

%T 164444511587,179590045487,217999764107,231255798857,242360943257,

%U 294920291201,573459229151,663903555851,666413245007,688697679401,696391309697,730121110331,867132039857,974275568237,976136848847,1002263588297

%N Initial members of prime 10-tuplets (or decaplets).

%H M. F. Hasler, <a href="/A257127/b257127.txt">Table of n, a(n) for n = 1..10000</a> (first 101 terms from Tim Johannes Ohrtmann), Mar 01 2022

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

%H Norman Luhn, <a href="http://www.pzktupel.de/smarchive.html">The big database of "The smallest prime k-tuplets"</a>, section "10-tuplets": up to 10^20 as of March 2022.

%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 quintuplets: 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: this sequence 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 A257374, A257375, A257376, A257377.

%K nonn

%O 1,1

%A _Tim Johannes Ohrtmann_, Apr 16 2015

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