Primes 8k + 1 at the end of the maximal gaps in A269424.

Terms

a(0) =41a(1) =73a(2) =193a(3) =521a(4) =761a(5) =2273a(6) =6073a(7) =8513a(8) =10169a(9) =22697a(10) =37889a(11) =73361a(12) =80153a(13) =221201a(14) =351913a(15) =1879601a(16) =2321881a(17) =4259641a(18) =6395201a(19) =8212553a(20) =9619081a(21) =11282657a(22) =36087833a(23) =59502977a(24) =72496049a(25) =236886401a(26) =556953841a(27) =809098513a(28) =830450161a(29) =888024649