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

[Emeric Deutsch]

Thanks David,
My excuse: searching for 1,3,20, the sequence A024011
didn't show up.
Emeric

On Wed, 20 Apr 2005, David Wilson wrote:

> 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
>> 
>
>