Primes 4k + 3 preceding the maximal gaps in A268799.

Terms

a(0) =3a(1) =11a(2) =31a(3) =83a(4) =283a(5) =383a(6) =1327a(7) =2591a(8) =7351a(9) =7759a(10) =11171a(11) =11587a(12) =31391a(13) =46919a(14) =147919a(15) =288023a(16) =360611a(17) =425603a(18) =507163a(19) =666203a(20) =1414703a(21) =2198887a(22) =3358151a(23) =9287659a(24) =11512547a(25) =11648531a(26) =24315047a(27) =42453823a(28) =145554779a(29) =161720147