A282400 - OEIS

A282400

Primes of the form n^2*2^n + 1.

3, 17, 73, 257, 924844033, 966367641601, 9354438770689, 468230246058455728129, 12676506002282294014967032053760001, 112418056545792871256481555812420390351647277057, 462428252436731001462884654101636424188009906177, 32113073085884097323811434312613640568611799040001

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OFFSET

1,1

LINKS

Abhiram R Devesh, Table of n, a(n) for n = 1..15

MATHEMATICA

Select[Table[n^2 2^n+1, {n, 200}], PrimeQ] (* Harvey P. Dale, Mar 26 2023 *)

PROG

(Python3)

import sympy

n = 1

while n < 100:

q = (n**2) * (2**n) + 1

if sympy.isprime(q):

print(q)

n += 1

CROSSREFS

Subset of A248917

Cf. A058780 Numbers n such that n^2 * 2^n + 1 is prime.

Cf. A279904 Primes of the form n^2*2^n - 1.

Sequence in context: A342364 A049181 A248917 * A342365 A179596 A339647

Adjacent sequences: A282397 A282398 A282399 * A282401 A282402 A282403

KEYWORD

nonn,easy

AUTHOR

Abhiram R Devesh, Feb 19 2017

STATUS

approved