Generate the prime sequence with primes labeled 1 mod 4 or 3 mod 4. Add count of primes to sequence if just 8 primes occur before interruption by a prime congruent to 1 mod 4.

EXAMPLE

a(6)=11 because 11 sets of 8 primes occur below 10^6, each run interrupted by a prime congruent to 1 mod 4.