A282400 Primes of the form n^2*2^n + 1.

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

Offset: 1

Author

Abhiram R Devesh, Feb 19 2017

Keywords

• nonn
• easy

Links

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

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.

Programs

Mathematica

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

Python

import sympy
n = 1
while n < 100:
    q = (n**2) * (2**n) + 1
    if sympy.isprime(q):
        print(q)
    n += 1