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Number of consecutive prime runs of 8 primes congruent to 1 mod 4 below 10^n.
2

%I #10 Mar 18 2018 15:56:06

%S 0,0,0,0,0,16,221,2213,21794,214836,2089934

%N Number of consecutive prime runs of 8 primes congruent to 1 mod 4 below 10^n.

%F 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 3 mod 4.

%e a(6)=16 because 16 sets of 8 primes occur below 10^6, each run interrupted by a prime congruent to 3 mod 4.

%Y Cf. A092658 A092659.

%K more,nonn

%O 1,6

%A _Enoch Haga_, Mar 02 2004

%E a(9) and a(10) from _Sean A. Irvine_, Oct 20 2011

%E a(11) from _Chai Wah Wu_, Mar 18 2018