cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A178652 Primes of the form 4^k + 13^2.

This page as a plain text file.
%I A178652 #8 Mar 05 2015 12:21:19
%S A178652 173,233,1193,16553,262313,67109033,1073741993,4611686018427388073,
%T A178652 73786976294838206633,19807040628566084398385987753,
%U A178652 1361129467683753853853498429727072845993
%N A178652 Primes of the form 4^k + 13^2.
%C A178652 Necessarily k is odd, 4^2 + 13^2 a multiple of 5.
%e A178652 a(1) = 4^1 + 13^2 = 173.
%e A178652 a(2) = 4^3 + 13^2 = 233.
%e A178652 a(11) = 4^65 + 13^2 = 1361129467683753853853498429727072845993.
%e A178652 a(12) = 4^99 + 13^2 = 401734511064747568885490523085290650630550748445698208825513.
%t A178652 Select[4^Range[0,70]+13^2,PrimeQ] (* _Harvey P. Dale_, Mar 05 2015 *)
%o A178652 (PARI) forstep(n=1,999,2,if(ispseudoprime(t=4^n+169),print1(t", "))) \\ _Charles R Greathouse IV_, Aug 27 2013
%Y A178652 Cf. A176969, A176978, A177833.
%K A178652 nonn
%O A178652 1,1
%A A178652 Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Jun 01 2010
%E A178652 New name from _Charles R Greathouse IV_, Aug 27 2013