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

Author

Enoch Haga, May 18 2008

Keywords

• easy
• nonn

Examples

			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.

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