A140599 Grand total of prime factors in composite runs between two primes: first composite.

4, 6, 12, 14, 18, 24, 54, 62, 68, 72, 80, 90, 108, 110, 158, 192, 234, 258, 264, 318, 338, 350, 354, 380, 420, 432, 458, 462, 570, 588, 602, 632, 662, 858, 978, 992, 1050, 1088, 1094, 1152, 1172, 1290, 1302, 1304, 1400, 1428, 1434, 1482, 1532, 1722, 1824, 1862

Offset

1,1

Links

Table of n, a(n) for n=1..52.

Formula

Compute composite runs between two primes. If the grand total of prime factors in each run is also prime, add the firat composite to the sequence.

{A008864(j): sum_{k=A008864(j)..A006093(j+1)} A105221(k) in A000040}. - R. J. Mathar, May 19 2008

Example

In the composite run between primes 23 and 29 there are five composites. The sum of prime factors in all 5 composites is 37 (3+2+5+13+2+3+7+2). The first composite in this run is 24, a(6) and the last is 28.

Crossrefs

Cf. A140600.

Sequence in context: A163097 A110178 A318712 * A282280 A320495 A047406

Adjacent sequences: A140596 A140597 A140598 * A140600 A140601 A140602

Keyword

easy,nonn

Author

Enoch Haga, May 18 2008

Status

approved