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 A178652 Primes of the form 4^k + 13^2. 1
 173, 233, 1193, 16553, 262313, 67109033, 1073741993, 4611686018427388073, 73786976294838206633, 19807040628566084398385987753, 1361129467683753853853498429727072845993 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Necessarily k is odd, 4^2 + 13^2 a multiple of 5. LINKS EXAMPLE a(1) = 4^1 + 13^2 = 173. a(2) = 4^3 + 13^2 = 233. a(11) = 4^65 + 13^2 = 1361129467683753853853498429727072845993. a(12) = 4^99 + 13^2 = 401734511064747568885490523085290650630550748445698208825513. MATHEMATICA Select[4^Range[0, 70]+13^2, PrimeQ] (* Harvey P. Dale, Mar 05 2015 *) PROG (PARI) forstep(n=1, 999, 2, if(ispseudoprime(t=4^n+169), print1(t", "))) \\ Charles R Greathouse IV, Aug 27 2013 CROSSREFS Cf. A176969, A176978, A177833. Sequence in context: A261530 A246135 A140002 * A119567 A142436 A322842 Adjacent sequences:  A178649 A178650 A178651 * A178653 A178654 A178655 KEYWORD nonn AUTHOR Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Jun 01 2010 EXTENSIONS New name from Charles R Greathouse IV, Aug 27 2013 STATUS approved

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Last modified January 17 12:18 EST 2020. Contains 330958 sequences. (Running on oeis4.)