%I #40 Aug 17 2024 23:24:22

%S 100996972469714247637786655587969840329509324689190041803603417758904341703348882159067229719,

%T 100996972469714247637786655587969840329509324689190041803603417758904341703348882159067229929,

%U 100996972469714247637786655587969840329509324689190041803603417758904341703348882159067230139

%N Ten consecutive primes in arithmetic progression.

%C This was the first known case, found in 1998. The full 10 terms are linked below. - _Jens Kruse Andersen_, Jun 30 2014

%H Jens Kruse Andersen, <a href="/A033290/b033290.txt">Table of n, a(n) for n = 0..9</a>

%H J. K. Andersen, <a href="http://primerecords.dk/cpap.htm#k10">The largest known CPAP-10</a>

%H H. Dubner et al., <a href="http://dx.doi.org/10.1090/S0025-5718-01-01374-6">Ten consecutive primes in arithmetic progression</a>

%H T. Forbes, <a href="https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;af1ff20b.9803">Ten consecutive primes in arithmetic progression</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/NonRecursions.html">Non Recursions</a>

%H Manfred Toplic, <a href="http://www.manfred-toplic.com/cp09.html">Nine and ten primes project</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeArithmeticProgression.html">Primes in Arithmetic Progression</a>

%H <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>

%F N*m + x + 210*b, b = 0..9.

%F a(n) = a(0)+210*n, and a(n+1) = nextprime(a(n)+1). - _Jens Kruse Andersen_, Jun 30 2014

%Y Cf. A033188, A204189, A260751, A261140, A327760, A363980, A374949.

%K fini,full,nonn,changed

%O 0,1

%A _Manfred Toplic_