Unique-period primes in base 4 in the order they are found.
5, 7, 17, 13, 257, 41, 241, 65537, 61681, 15790321, 4278255361, 4562284561, 291280009243618888211558641, 18446744069414584321, 78919881726271091143763623681, 84179842077657862011867889681, 20988936657440586486151264256610222593863921
1
T. D. Noe, Plot of 35 terms
T. D. Noe, Table of 35 terms
Chris K. Caldwell, Unique prime
(Mma) nn = 200; t4 = Table[c = Cyclotomic[n, 4]; c/GCD[n, c], {n, 2, nn}]; p4 = Select[t4, PrimePowerQ]; Table[FactorInteger[i][[1, 1]], {i, p4}]
Cf. A040017 (base-10 unique-period primes), A161509 (base 2), A064080.
nonn,base
T. D. Noe, May 14 2014