A110900 - OEIS

%I #9 Jun 30 2024 02:47:20

%S 65,4803,584914,59273184,6098138012,616905504491,62144914085485,

%T 6267868143394323,630501829011138256,63335169132014778363

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

%C prime(n) = n-th prime number.

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

%e 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.

%o (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

%Y Cf. A001359, A006988, A007508.

%K nonn,more

%O 1,1

%A _Cino Hilliard_, Sep 20 2005

%E a(9)-a(10) from _Amiram Eldar_, Jun 30 2024