A generalization of Euclid-Mullin sequence A000945 applied to generate only primes of the form 4k+3: let Q be the product of all preceding terms, then a(n) is the smallest prime factor of the form 4k+3 of whichever of {Q+2, Q+4} has the form 4k+3.

A389974

A generalization of Euclid-Mullin sequence A000945 applied to generate only primes of the form 4k+3: let Q be the product of all preceding terms, then a(n) is the smallest prime factor of the form 4k+3 of whichever of {Q+2, Q+4} has the form 4k+3.

Terms

    a(0) =3a(1) =7a(2) =23a(3) =487a(4) =71a(5) =11a(6) =14387a(8) =47a(9) =83a(10) =79a(11) =254813386571a(12) =40483a(13) =2542399a(14) =103a(18) =31

External references