[seqfan] Re: Differences of consecutive primes

Veikko Pohjola veikko at nordem.fi
Sun Jan 16 05:51:44 CET 2011


Thanks to the contribution of Aai and Maximilian Hassler, the sequence 
a(n)=1, 2, 3, 4, 7, 17, 18, 77 is extended by one additional term and now 
permits to say, for instance, that the union of the halved gaps of the first 
million primes is the set of all integers 1 to 77. More precisely we may say 
"the first K primes with K covering the range 887314 to 1094421". Of course 
the question still remains whether the sequence has a continuation. Possibly 
yes but the capacity may become a problem to prove it.
Veikko 




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