Primes 6k + 1 at the end of the maximal gaps in A268925.

Terms

a(0) =13a(1) =31a(2) =61a(3) =271a(4) =1381a(5) =4423a(6) =7867a(7) =22273a(8) =24337a(9) =38557a(10) =40351a(11) =69661a(12) =480343a(13) =1164799a(14) =1207903a(15) =1468189a(16) =1526929a(17) =3976003a(18) =11962963a(19) =14466967a(20) =19097593a(21) =30098239a(22) =39895771a(23) =198389797a(24) =303644749a(25) =393202651a(26) =485949787a(27) =680676709a(28) =1917215533a(29) =3868901233