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

[Emeric Deutsch]

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?
Many thanks,
Emeric