# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a242773 Showing 1-1 of 1 %I A242773 #16 Dec 31 2019 08:21:09 %S A242773 7,11491,32971,33331,33601,42841,58111,93811,96331,114601,180181, %T A242773 273001,309541,334891,401311,540541,633571,717091,784351,820411, %U A242773 870241,879691,907141,948091,989251,991621,994561,1020961,1028581,1044751,1185661,1189651,1245451,1253911 %N A242773 The greater of twin primes p2 such that 2*p1 + p2 is a prime number (A174913) and also the lesser of other twin primes in A174913. %C A242773 It seems that a(n) == 1 mod 10 for n > 1. %C A242773 a(n) == 1 (mod 10) for n > 1 since if p2 == 3, 7 or 9 (mod 10) then 2*p1 + p2, p1, or 2*p1 + p2 + 2 is divisible by 5, respectively. - _Amiram Eldar_, Dec 31 2019 %H A242773 Amiram Eldar, Table of n, a(n) for n = 1..10000 %F A242773 a(n) = A242772(n) + 2. %e A242773 a(1) = 7, 7 - 2 = 5 = A174913(1) and 2*A174913(1) + 7 = A174913(2). %t A242773 Select[Range[10^6], And @@ PrimeQ[{#, # + 2, (p = 3*# + 2), p + 2, 3*p + 2}] &] + 2 (* _Amiram Eldar_, Dec 31 2019 *) %Y A242773 Cf. A001359, A174913, A242772. %K A242773 nonn %O A242773 1,1 %A A242773 _Ivan N. Ianakiev_, May 22 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE