A082597Number of sets of consecutive primes whose arithmetic mean is an integer, the largest prime of a set is n-th prime.

1, 1, 2, 3, 2, 3, 3, 4, 4, 4, 3, 4, 3, 6, 5, 6, …

The first 3 terms appear at position 709.

…792279689258923542019956112129021960864034418159813…
position 709
termsstringfirst positionoccurrences
11199,997,334
211949,997,964
31127091,000,085
411236,547100,144
5112326,54710,007
6112323380,2661,036
711232332,376,412103
81123233449,733,50011
9112323344175,427,1574
101123233444175,427,1571
1111232334443175,427,1571
12112323344434175,427,1571

Searched the first 1,000,000,000 digits. Strings longer than 12 digits are not indexed.