Primes 10k + 1 at the end of the maximal gaps in A268984.

Terms

a(0) =31a(1) =101a(2) =401a(3) =1721a(4) =2971a(5) =4391a(6) =11071a(7) =38201a(8) =57571a(9) =137771a(10) =349801a(11) =693401a(12) =869951a(13) =1118851a(14) =1410301a(15) =3826481a(16) =5377051a(17) =7930031a(18) =11067491a(19) =13167841a(20) =13943971a(21) =18720431a(22) =31857821a(23) =51444611a(24) =68447941a(25) =104384551a(26) =149055281a(27) =180667801