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A096283
First sums of successive twin primes of order n.
0
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.
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
KEYWORD
easy,nonn
AUTHOR
Cino Hilliard, Jun 23 2004
STATUS
approved