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A300407 Primes of the form 17*2^n + 1. 3
137, 557057, 2281701377, 38280596832649217, 3032901347000164747248857685080177164813336577, 240291200809860268823328460101036918152537809975084178304538443375796289537, 4031417378886400659867047414062478199819447786118941877597755244819503521544011777 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For the corresponding exponents n see A002259.

LINKS

Table of n, a(n) for n=1..7.

Ray Ballinger, Wilfried Keller, List of primes k*2^n + 1 for k < 300.

EXAMPLE

From Muniru A Asiru, Mar 29 2018: (Start)

137 is a member because 17 * 2^3 + 1 = 137 which is a prime.

557057 is a member because 17 * 2^15 + 1 = 557057 which is a prime.

2281701377 is a member because 17 * 2^27 + 1 = 2281701377 which is a prime.

... (End)

MAPLE

a:=(n, k)->`if`(isprime(k*2^n+1), k*2^n+1, NULL):

seq(a(n, 17), n=1..267);

MATHEMATICA

Select[Table[17 2^n + 1, {n, 400}], PrimeQ] (* Vincenzo Librandi, Mar 07 2018 *)

PROG

(GAP) Filtered(List([1..270], n->17*2^n + 1), IsPrime); # Muniru A Asiru, Mar 06 2018

(MAGMA) [a: n in [1..300] | IsPrime(a) where a is 17*2^n + 1]; // Vincenzo Librandi, Mar 07 2018

(PARI) lista(nn) = {for(k=1, nn, if(ispseudoprime(p=17*2^k+1), print1(p, ", "))); } \\ Altug Alkan, Mar 28 2018

CROSSREFS

Cf. A002259, A019434, A039687, A050527, A050528, A050529, A195745, A291049, A050526, A300406, A300408.

Sequence in context: A068154 A134874 A064104 * A122703 A200335 A292094

Adjacent sequences:  A300404 A300405 A300406 * A300408 A300409 A300410

KEYWORD

nonn

AUTHOR

Martin Renner, Mar 05 2018

STATUS

approved

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Last modified October 16 13:51 EDT 2019. Contains 328093 sequences. (Running on oeis4.)