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%I #18 Jan 16 2015 19:21:25
%S 5,137,1787,1997,2237,2657,3527,4127,4337,4787,8087,12107,13757,14447,
%T 17987,19697,21377,23057,23687,31247,32297,34157,34367,35447,37547,
%U 38567,39227,43397,48677,51197,51827,53087,58907,65027,65837
%N Initial members of prime quadruples (n, n+2, n+144, n+146).
%C This sequence is prime n, where there exist two twin prime pairs of (n,n+2), (n+144,n+146).
%C Excluding 5, this is a subsequence of each of the following: A128468 (a(n)=30*n+17), A039949 (Primes of the form 30n-13), A181605 (twin primes ending in 7).
%H Karl V. Keller, Jr., <a href="/A248523/b248523.txt">Table of n, a(n) for n = 1..100000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeQuadruplet.html">Prime Quadruplet.</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TwinPrimes.html">Twin Primes</a>
%H Wikipedia, <a href="http://www.wikipedia.org/wiki/Twin_prime">Twin prime</a>
%e For n=137, the numbers 137, 139, 281, 283, are primes.
%o (Python)
%o from sympy import isprime
%o for n in range(1,10000001,2):
%o ..if isprime(n) and isprime(n+2) and isprime(n+144) and isprime(n+146): print(n,end=', ')
%Y Cf. A077800 (twin primes), A128468, A039949, A181605.
%K nonn
%O 1,1
%A _Karl V. Keller, Jr._, Jan 11 2015