Partial-Sum -> Some Primes

[Richard Guy]

Also by hand, so please check

1 2 4 3 6 5 12 7 20 9 8 21 24 10 16 25 18 ...

the sequence of primes may be of interest

(1) 5 17 29 59 89 173 229 409 499 587 839
1151 1291 1531 1931 2237 ...     R.

On Fri, 13 Feb 2004, Leroy Quet wrote:

> Let a(1) = 1;
> 
> Let a(m) be the lowest yet unpicked positive integer such that:
> 
> sum{k=1 to m} k* a(k)
> 
> is a prime.
> 
> Figured by hand, so very well could be wrong, I get:
> 
> a(k) : 1, 2, 4, 3, 6, 5, 12, 7,...
> 
> Question:
> Is this a permutation of the positive integers?
> 
> If so, its inverse-permutation is:
> 
> 1, 2, 4, 3, 6, 5, 8,...
> 
> (I get some EIS matches for the few terms I give for the inverse 
> permutation, but no matches for the primary sequence.)
> 
> thanks,
>