[seqfan] Re: Differences of consecutive primes
Aai
bradypus at xs4all.nl
Fri Jan 14 17:58:33 CET 2011
FWIW, by trial and error and some reasoning I found a possible candidate for a(8):
1831<=K<=887314 --> 1,2,3,...., 77 --> a(8) = 77
Hallo Veikko Pohjola, je schreef op 14-01-11 09:46:
> Maybe I was not clear enough in presenting what I am searching for.
>
> I give two more examples
>
> 738<=K<=1182 -> {1,2,3,...,15,16,17} -> a(6)=17
> 1183<=K<=1830 -> {1,2,3,...,16,17,18} -> a(7)=18
>
>
>
> The Mathematica program of Harvey is ok but gives actually the results above.
> Thus, for instance, Range[n], {n, 31, 34} gives {1,2,3,4,7} and Range[n], {n,
> 35, 46} gives {1,2,3,4,5,7}, which means that there is a gap in the K-values
> from 30 to 45 which does not produce perfect sequences of small integers,
> which are what I am looking for. Also the existence of the gaps from 99 to 737
> and from 1831 to somewhere are supported by the program.
>
> I am still wondering would there be a continuation for the sequence 1, 2, 3,
> 4, 7, 17, 18,.
> Veikko
>
>
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>
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