A092244 Primes of the form 2^k-th prime + 2^(k-1)-th prime + 1.

11, 73, 443, 1031, 2339, 11833, 56737, 122891, 5423669, 8527184177

Offset

1,1

Comments

Also, primes of the form A033844(k) + A033844(k-1) + 1. - Michael S. Branicky, Feb 01 2026

Links

Table of n, a(n) for n=1..10.

Example

11 is a term since prime(2^2) + prime(2^1) + 1 = 11 = prime.

Prog

(PARI) f(n)= for(x=1, n, y=prime(2^x)+ prime(2^(x-1))+1; if(isprime(y), print1(y", ")))

Crossrefs

Cf. A033844.

Sequence in context: A226034 A217946 A163775 * A342830 A155634 A380290

Adjacent sequences: A092241 A092242 A092243 * A092245 A092246 A092247

Keyword

nonn,hard,more

Author

Cino Hilliard, Feb 20 2004

Extensions

Name corrected and a(10) from Michael S. Branicky, Feb 01 2026

Status

approved