A196273 Primes of the form n*2^(n-1)+1.

2, 5, 13, 193, 449, 114689, 1811939329, 2434970217729660813313, 4943727411754159833089, 6731298963614255244763987969, 2388456554926020709124028311441244161

Offset

1,1

Comments

Generated by n = 1, 2, 3, 6, 7, 14, 27, 66, 67, 87, 115, .. = A029544(n)+1.

See also A236752 for primes of the form k*2^(k-1) - 1, and A230769 for the corresponding indices k (minus 1). - M. F. Hasler, Mar 01 2014

Links

Table of n, a(n) for n=1..11.

Mathematica

Select[Table[n*2^(n-1)+1, {n, 150}], PrimeQ] (* Harvey P. Dale, Jul 17 2018 *)

Prog

(PARI) lista(nn) = {for (n=1, nn, if (isprime(p = n*2^(n-1)+1), print1(p, ", ")); ); } \\ Michel Marcus, Nov 09 2013

Crossrefs

Cf. A005183.

Sequence in context: A186450 A065797 A394311 * A128772 A272106 A190478

Adjacent sequences: A196270 A196271 A196272 * A196274 A196275 A196276

Keyword

nonn

Author

Juri-Stepan Gerasimov, Sep 29 2011

Status

approved