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

[David Wilson]

All this information was already given in

A007506, A024011, A028581, A028582.

----- Original Message ----- 
From: "T. D. Noe" <noe at sspectra.com>
To: <ham>; "Eric W. Weisstein" <eww at wolfram.com>; "Emeric Deutsch" 
<deutsch at duke.poly.edu>
Cc: "seqfan" <seqfan at ext.jussieu.fr>
Sent: Tuesday, April 19, 2005 5:31 PM
Subject: Re: what is the next term of 1,3,20 ?


> At 4:02 PM -0500 4/19/05, Eric W. Weisstein wrote:
>>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.
>
> The next term is then the 22,096,548th prime, which is 415,074,643.
> Checked all primes < 10^9.
>
> Tony
>