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%I A130825
%S A130825 23,31,2741,10613,63199,85853,1039153
%N A130825 This is a list of pairs of consecutive primes identified by the first 
               in the pair. A number can be found between these two primes that 
               divides the sum of all primes up to this prime.
%C A130825 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.
%F A130825 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.
%e A130825 The subtotal for the primes up to 23 is 100. Between 23 and the next 
               prime 29
%e A130825 there are the composites 24,25,26,27 and 28 that are candidates for evenly
%e A130825 dividing this subtotal of 100. We have 25 within this group and it does
%e A130825 divide that subtotal of 100. Moving on to the subtotal up to 31, which 
               is 160,
%e A130825 we have the interval of composites 32,33,34,35 and 36 as possible divisors 
               of
%e A130825 this current subtotal of 160. The number 32 divides this subtotal.
%Y A130825 Cf. A045345 and A024011.
%Y A130825 Sequence in context: A105007 A154291 A109559 this_sequence A087563 A093477 
               A070664
%Y A130825 Adjacent sequences: A130822 A130823 A130824 this_sequence A130826 A130827 
               A130828
%K A130825 uned,nonn
%O A130825 1,1
%A A130825 J. M. Bergot (thekingfishb(AT)yahoo.ca), Aug 20 2007

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