A096283 First sums of successive twin primes of order n.

8, 18, 40, 92, 216, 508, 1184, 2730, 6244, 14210, 32232, 72886, 164228, 368508, 823168, 1830254, 4050492, 8922736, 19567376, 42726960, 92925664, 201364874, 434900208, 936411160, 2010419024, 4304117640, 9189045664, 19563691880

Offset

1,1

Comments

Order here refers to the depth of the iterations in successive sums. Order 0 is the twin primes, order 1 is the sums of order 0, order 2 is the sums of order 1 etc.

Links

Table of n, a(n) for n=1..28.

Example

The twin prime quartet 3,5,5,7 has the first order sums 8,10,12 and the 2nd order sums 18,22 and the 3rd order sums 40. The first of these are 8,18,40 the first 3 terms in the sequence.

Prog

(PARI) sucsumstwfirst(n, m) = { local(a, b, i, j, k, p); a = vector(1001); b = vector(1001); p=1; forprime(j=3, n, if(isprime(j+2), a[p] = j; a[p+1] = j+2; p+=2; ) ); for(i=1, m, for(j=1, n+n, b[j] = a[j]+ a[j+1]; ); a=b; print1(a[1]", "); ) }

Crossrefs

Sequence in context: A067563 A211477 A123134 * A300524 A082194 A211527

Adjacent sequences: A096280 A096281 A096282 * A096284 A096285 A096286

Keyword

easy,nonn

Author

Cino Hilliard, Jun 23 2004

Status

approved