A110900 Sum of the lesser of twin primes <= prime(10^n).

65, 4803, 584914, 59273184, 6098138012, 616905504491, 62144914085485, 6267868143394323, 630501829011138256, 63335169132014778363

Offset: 1

Author

Cino Hilliard, Sep 20 2005

Keywords

• nonn
• more

Comments

prime(n) = n-th prime number.

After the 3rd term, the next term is roughly 100 times the previous term.

Examples

			3, 5, 11, 17, and 29 are lesser members of twin primes <= prime(10^1) = 29. These add up to 65, the first term of this sequence.
		

Crossrefs

Cf. A001359, A006988, A007508.

Programs

PARI

lista(pmax) = {my(s = 0, pow = 10, prev = 2, k = 1); forprime(p = 3, pmax, k++; if(p == prev + 2, s += prev); if(k > pow, print1(s, ", "); pow *= 10); prev = p);} \\ Amiram Eldar, Jun 30 2024

Extensions

a(9)-a(10) from Amiram Eldar, Jun 30 2024