[seqfan] Re: Prime partial sum of digits

Bob Selcoe rselcoe at entouchonline.net
Mon Nov 9 16:35:13 CET 2015


Hi Eric,

What is a(n)? Why does P(4) = 1?  Why does S(5) = 40 rather than 13?

Cheers,
Bob Selcoe

Sent from my iPhone

> On Nov 9, 2015, at 8:58 AM, Eric Angelini <Eric.Angelini at kntv.be> wrote:
> 
> Hello SeqFans,
> what is the last term of S?
> 
> S = 2,1,4,6,40,20,46,8,4,24,60,...
> 
> a(n) = smallest positive integer not already in S such 
> that the partial sum P of S' digits d(1)+...+d(k) is prime.
> 
> Example (read P terms vertically):
> 
> S = 2,1,4,6,40,20,46,8,4,24,60,...
> P = 2 3 7 1 11 11 22 3 4 44 55
>          3 77 99 39 7 1 37 33
> Best,
> É.
> 
> 
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