login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers k such that k!! + 2^8 is prime.
12

%I #30 Sep 16 2018 04:37:48

%S 0,1,5,9,11,13,23,135,187,215,233,313,333,493,1459,2753,2813,6411,

%T 31191,38303,41487

%N Numbers k such that k!! + 2^8 is prime.

%C a(22) > 50000. - _Robert Price_, Jan 14 2015

%C a(1)=0 since 0!!=1 and 1 + 2^8 = 257 is prime. - _Robert Price_, Jan 14 2015

%H The OpenPFGW Project, <a href="http://www.primeform.net/openpfgw/">Primality Tester</a>

%H Henri & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n%212%2B2%5E8&amp;action=Search">PRP Records.</a>

%t lst={}; Do[If[PrimeQ[n!!+2^8], AppendTo[lst, n]], {n, 0, 50000}]; lst

%Y Cf. A006882, A080778 and A076185, A076186, A076188, A076189, A076190, A076193, A076194, A076196, A076197 for other values of s in n!! + 2^s.

%K nonn,more

%O 1,3

%A _Zak Seidov_, Nov 02 2002

%E Edited and extended (n < 4096) by _Hugo Pfoertner_, Jun 19 2003

%E a(18) from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 03 2008

%E a(1)=0 prepended and a(19)-a(21) from _Robert Price_, Jan 14 2015