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 A059242 Numbers k such that 2^k + 5 is prime. 26
 1, 3, 5, 11, 47, 53, 141, 143, 191, 273, 341, 16541, 34001, 34763, 42167, 193965, 282203 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The subsequence of primes starts 3, 5, 11, 47, 53, 191, ... - Vincenzo Librandi, Aug 07 2010 For k in this sequence, 2^(k-1)*(2^k+5) is in A141548: numbers of deficiency 6. - M. F. Hasler, Apr 23 2015 a(18) > 5*10^5. - Robert Price, Aug 23 2015 a(18) > 6*10^5. - Tyler NeSmith, Jan 18 2021 All terms are odd - Elmo R. Oliveira, Dec 01 2023 LINKS Table of n, a(n) for n=1..17. Keith Conrad, Square patterns and infinitude of primes, University of Connecticut, 2019. Henri Lifchitz and Renaud Lifchitz (Editors), Search for 2^n+5, PRP Top Records. EXAMPLE 2^3 + 5 = 13 is prime, but 2^4 + 5 = 21 is not. MATHEMATICA Select[Range[20000], PrimeQ[2^#+5]&] (* Vladimir Joseph Stephan Orlovsky, Feb 26 2011 *) PROG (PARI) is(n)=ispseudoprime(2^n+5) \\ M. F. Hasler, Apr 23 2015 CROSSREFS Cf. A094076, A141548. Cf. A019434 (primes 2^k+1), A057732 (2^k+3), this sequence (2^k+5), A057195 (2^k+7), A057196 (2^k+9), A102633 (2^k+11), A102634 (2^k+13), A057197 (2^k+15), A057200 (2^k+17), A057221 (2^k+19), A057201 (2^k+21), A057203 (2^k+23). Sequence in context: A332968 A144467 A049883 * A175173 A268510 A004203 Adjacent sequences: A059239 A059240 A059241 * A059243 A059244 A059245 KEYWORD nonn,hard,more AUTHOR Tony Davie (ad(AT)dcs.st-and.ac.uk), Jan 21 2001 EXTENSIONS More terms from Santi Spadaro, Oct 04 2002 a(12) from Hans Havermann, Oct 07 2002 a(13)-a(15) from Charles R Greathouse IV, Oct 07 2011 a(16)-a(17) from Robert Price, Dec 06 2013 STATUS approved

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Last modified February 27 21:03 EST 2024. Contains 370378 sequences. (Running on oeis4.)