1,1

Both A045345 and A024011 are very restrictive in creating a sequence. The sequence herein presented has a bit more flexibility to produce qualifying divisors of the subtotal of the sum of all primes.

Move through the subtotals of all the primes, 2+3+5+7+11+..., until a composite between two consecutive primes divides the subtotal of all previous primes. If it does, then that prime immediately preceding the interval of composites is listed in the sequence.

The subtotal for the primes up to 23 is 100. Between 23 and the next prime 29

there are the composites 24,25,26,27, and 28 that are candidates for evenly

dividing this subtotal of 100. We have 25 within this group, and it does

divide that subtotal of 100. Moving on to the subtotal up to 31, which is 160,

we have the interval of composites 32,33,34,35, and 36 as possible divisors of

this current subtotal of 160. The number 32 divides this subtotal.

Cf. A045345 and A024011.

Sequence in context: A093014 A105007 A109559 this_sequence A087563 A093477 A070664

Adjacent sequences: A130822 A130823 A130824 this_sequence A130826 A130827 A130828

uned,nonn

J. M. Bergot (thekingfishb(AT)yahoo.ca), Aug 20 2007