what is the next term of 1,3,20 ?

Eric W. Weisstein eww at wolfram.com
Tue Apr 19 23:02:22 CEST 2005


On Tue, 19 Apr 2005, Emeric Deutsch wrote:

> Dear seqfans,
> I know you need more information. Here is the full
> description:
> 
> values of n such that the n-th prime is a divisor of the sum
> of the first n primes.
> 
> 1 because 2 (the 1st prime) is a divisor of 2;
> 3 because 5 (the 3rd prime) is a divisor of 2+3+5=10;
> 20 because 71 (the 20th prime) is a divisor of 2+3+5+...+71=639.
> 
> A fresher question: what are the next terms?

1, 3, 20, 31464, ...

No others < 10^7.

Cheers,
-Eric






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