A079361 Primes in the sequence of sums of alternating powers of 2.

5, 7, 19, 43, 379, 1531, 3067, 24571, 98299, 100663291, 6442450939, 51539607547, 844424930131963, 13510798882111483, 55340232221128654843, 1947111321950560360698936123457531, 133804471191183738849214309635890169035882491

Offset

1,1

Comments

Sum of reciprocals = 0.4224131591021966740339033736...

Primes in A079360. - R. J. Mathar, Dec 03 2014

Links

Amiram Eldar, Table of n, a(n) for n = 1..29

Prog

(PARI) /* Primes in the sequence of sums of alternating powers of 2 */ pseq(n) = { j=a=1; p=2; sr=0; while(j<=n, a = a + 2^(p); if(isprime(a), print1(a" "); sr+=1.0/a; ); a = a+2^(p-1); if(isprime(a), print1(a" "); sr+=1.0/a; ); p+=1; j+=2; ); print(); print(sr); }

Crossrefs

Cf. A079360.

Sequence in context: A084198 A036061 A288608 * A162268 A045447 A337439

Adjacent sequences: A079358 A079359 A079360 * A079362 A079363 A079364

Keyword

nonn

Author

Cino Hilliard, Feb 15 2003

Extensions

Offset changed by Georg Fischer, Sep 02 2022

a(16)-a(17) from Amiram Eldar, Jul 06 2024

Status

approved