A001135Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.

251, 571, 971, 1181, 1811, 2011, 2381, 2411, 3221, 3251, 3301, 3821, 4211, 4861, 4931, 5021, …

The first 2 terms appear at position 1,149,367.

…654448928585291711898800251571032228072299565450345630…
position 1,149,367
termsstringfirst positionoccurrences
12511,7131,000,833
22515711,149,367991
3251571971not within 1,000,000,0000

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