Primes 4k + 3 at the end of the maximal gaps in A268799.

Terms

a(0) =7a(1) =19a(2) =43a(3) =103a(4) =307a(5) =419a(6) =1367a(7) =2647a(8) =7411a(9) =7823a(10) =11239a(11) =11699a(12) =31511a(13) =47051a(14) =148063a(15) =288179a(16) =360779a(17) =425779a(18) =507347a(19) =666403a(20) =1414943a(21) =2199143a(22) =3358423a(23) =9287939a(24) =11512843a(25) =11648887a(26) =24315443a(27) =42454267a(28) =145555231a(29) =161720627