[seqfan] A096100

Don Reble djr at nk.ca
Mon Nov 23 04:27:19 CET 2015


Seqfans:

> %S A096100 1,2,2,3,6,46,1306,7695,17383720,2183805400
> %N a(1) = 1; for n > 1: a(n) = smallest number >1 such that product of
>    any two or more successive terms + 1 is prime.

    The next terms are 60512359083, 447808566362, 181830203704703.
    I didn't find a(14), but I searched past a(13), to 2.5x10^14.

    So far, it's non-decreasing. I don't know a good reason why it
    should stay that way. (But since candidates for each successive
    value get rarer, the least candidate will tend to increase.)

-- 
Don Reble  djr at nk.ca




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