Primes p that give record exponents of 2 in p^2 - 1 (A091282).

Terms

a(0) =3a(1) =7a(2) =17a(3) =31a(4) =127a(5) =257a(6) =3583a(7) =5119a(8) =6143a(9) =8191a(10) =65537a(11) =131071a(12) =524287a(13) =7340033a(14) =14680063a(15) =104857601a(16) =109051903a(17) =167772161a(18) =469762049a(19) =2013265921a(20) =2147483647a(21) =21474836479a(22) =51539607551a(23) =206158430209a(24) =824633720831