A038345 Sum of the next n members of the list of twin primes.

3, 12, 41, 120, 307, 696, 1241, 1956, 3307, 5544, 8381, 12042, 16237, 21492, 27677, 33906, 42733, 54180, 65057, 76740, 88771, 104112, 124229, 146490, 169933, 196884, 230807, 263790, 297475, 339372, 385349, 441900, 496375, 557628, 617357, 672510, 743917, 807888

Offset

1,1

Comments

Observation: a(26) is also equal to A000521(1) = 196884. - Omar E. Pol, Nov 29 2014

Links

Table of n, a(n) for n=1..38.

Example

a(1) = 3, a(2) = 5+7 = 12, a(3) = 11+13+17 = 41, ...
a(26) = 7211+7213+7307+7309+7331+7333+7349+7351+7457+7459+7487+7489+7547+7549+7559+ 7561+7589+7591+7757+7759+7877+7879+7949+7951+8009+8011 = 196884. - Omar E. Pol, Nov 29 2014

Mathematica

With[{nn=100}, Total/@TakeList[Union[Flatten[Select[ Partition[Prime[ Range[ 300nn]], 2, 1], #[[2]]-#[[1]]==2&]]], Range[nn]]] (* Requires Mathematica version 11 or later *) (* Harvey P. Dale, Apr 27 2018 *)

Prog

(PARI) isA001097(n) = (isprime(n) && (isprime(n+2) || isprime(n-2))) ;
lista(nn) = {v = select(x->isA001097(x), vector(nn, i, i)); idep = 1; for (n=1, sqrtint(#v), print1(sum(i=idep, idep+n-1, v[i]), ", "); idep += n; ); } \\ Michel Marcus, Nov 29 2014

Crossrefs

Cf. A001097 (twin primes), A007468 (sum of next n primes), A000521.

Sequence in context: A126725 A053043 A263102 * A336337 A127120 A325482

Adjacent sequences: A038342 A038343 A038344 * A038346 A038347 A038348

Keyword

easy,nonn

Author

Den Roussel (DenRoussel(AT)webtv.net)

Extensions

More terms from Michel Marcus, Nov 29 2014

Status

approved