Of Composites Between 2 Adjacent Primes

[Don Reble]

> %N A113709 a(n) is the composite between p(n) and p(n+1), where p(n) is 
>            the nth prime, which is divisible by (p(n+1)-p(n)).

%S A113709 4,6,8,12,16,18,20,24,30,36,40,42,44,48,54,60,66,68,72,78,80,84,96,100,
%T A113709 102,104,108,112,126,128,132,138,140,150,156,162,164,168,174,180,190,
%U A113709 192,196,198,204,216,224,228,232,234,240,250,252,258,264,270,276,280


> Could someone please calculate/submit the sequence of terms from the 
> above sequence (if extended) that are not the composite (in the run of 
> composites between adjacent primes) with the most number of divisors?

%I Axxxxxx
%S Axxxxxx 68,126,140,162,164,174,204,258,290,294,316,322,392,410,444,456,488,
%T Axxxxxx 496,516,550,558,624,654,676,678,688,704,710,732,772,784,790,804,820,
%U Axxxxxx 824,830,856,868,908,920,942,948,966,978,984,1030,1038,1060,1068,1098
%N Axxxxxx Composite numbers n which are divisible by (nextprime(n) - prevprime(n)), but have fewer divisors than some number between those two primes.
%e Axxxxxx 68 is there, because it's divisible by (71-67), but 70 has more divisors.
%Y Axxxxxx Cf. A076082-3, A113709.
%K Axxxxxx nonn,new
%O Axxxxxx 0,1
%A Axxxxxx Leroy Quet (qq-quet(AT)mindspring.com), Nov 07 2005
%E Axxxxxx Edited by Don Reble (djr(AT)nk.ca), Nov 07 2005

-- 
Don Reble  djr at nk.ca

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