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%I #19 Oct 30 2022 18:19:59
%S 3,7,739,199,883,13127,463,36551,39607,183091,4468903,6419299,241603,
%T 11739307,9177431,95949311,105639091,341118307,1800380579,727334879,
%U 9449915743,1786054147,22964264027,54870713243,79263248027,454648144571,722204126767,1749300591127,5070807638111,8858854801319,6425403612031,113391385603
%N First occurrence of run of primes congruent to 3 mod 4 of exactly length n.
%C The term "exactly" means that before the first and after the last terms of chain, the immediate primes are not congruent to 3 modulo 4.
%C Carlos Rivera's Puzzle 256 includes Jack Brennen's a(24) starting at 1602195714419 to 1602195715423 and asks if anyone can break that 1999 record.
%H J. K. Andersen, <a href="http://primerecords.dk/congruent-primes.htm">Consecutive Congruent Primes</a>.
%H Carlos Rivera's Prime Puzzles and Problems Connection, <a href="http://www.primepuzzles.net/puzzles/puzz_256.htm">Puzzle 256, Jack Brennen old records</a>
%F Compute sequence of primes congruent to 3 mod 4. When first occurrence of run of exactly length n is found, add first prime to sequence.
%e a(3)=739 because here n=3 and 739 is the start of a run of exactly 3 consecutive primes congruent to 3 mod 4.
%Y Cf. A092567, A055623, A055626.
%K easy,nonn
%O 1,1
%A _Labos Elemer_, Jun 05 2000
%E More terms from _Reiner Martin_, Jul 18 2001
%E More terms from _Jens Kruse Andersen_, May 29 2006
%E Edited by _N. J. A. Sloane_, Jun 01 2006
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