A092644
Absolute value of difference between counts of uninterrupted runs of 3 primes in A092642 and A092643.
Original entry on oeis.org
0, 0, 3, 2, 18, 30, 8, 943, 2680, 483, 10001
Offset: 1
a(3)=3 because in A092642 the count is 4 and in A092643 the count is 1. 4 - 1 = 3.
A093399
Absolute value of difference between counts of uninterrupted runs of 3 nonprimes in A093187 and A093188.
Original entry on oeis.org
0, 1, 5, 4, 34, 116, 130, 241, 2187, 3076, 9683, 33067, 133346
Offset: 1
a(3)=5 because in A093187 the count is 10 and in A093188 the count is 5. 10-5=5.
A093187
Number of consecutive runs of 3 odd nonprimes congruent to 1 mod 4 below 10^n.
Original entry on oeis.org
0, 1, 10, 53, 390, 2794, 21215, 167055, 1347999, 11084015, 92708718, 786663767, 6757618852
Offset: 1
a(3)=10 because 10 nonprime runs of 3 occur below 10^3, each run interrupted by a nonprime congruent to 3 mod 4.
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Accumulate@ Table[Length@ SequencePosition[Range[10^n + 1, 10^(n + 1) - 1, 2] /. {p_ /; PrimeQ@ p -> Nothing, k_ /; Mod[k, 4] == 1 -> 1, k_ /; Mod[k, 4] == 3 -> 3}, {1, 1, 1, 3}], {n, 0, 6}] (* Michael De Vlieger, Jan 02 2017 *)
A092643
Number of consecutive prime runs of 3 primes congruent to 3 mod 4 below 10^n.
Original entry on oeis.org
0, 0, 1, 36, 323, 2480, 20947, 183898, 1621279, 14492365, 131016136
Offset: 1
a(5)=323 because 323 sets of 3 primes occur below 10^5, each run interrupted by a prime congruent to 1 mod 4.
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