Primes 4k+1 at the end of the maximal gaps in A084162.

Terms

a(0) =5a(1) =13a(2) =29a(3) =89a(4) =137a(5) =229a(6) =509a(7) =1549a(8) =1861a(9) =9601a(10) =15733a(11) =16829a(12) =33289a(13) =39709a(14) =50741a(15) =180949a(16) =183289a(17) =1562053a(18) =1638053a(19) =2244157a(20) =4469141a(21) =4874977a(22) =7856713a(23) =10087481a(24) =12021353a(25) =12214273a(26) =18227081a(27) =148364081a(28) =292182557a(29) =320262769