Unique-period primes in base 8, written in base 8.
3, 111, 23, 1001001, 252253, 107667011, 1076700767011, 1076701076700767010767011, 70070070070070070070070070070770770770770770770770770771, 36203332706627412120275065330032363, 107670107670107670107667010767010767010767011
1
As in the base-10 case, these primes have a unique structure.
T. D. Noe, Plot of 23 terms
T. D. Noe, Table of 23 terms
Chris K. Caldwell, Unique prime
(Mma) nn = 100; t8 = Table[c = Cyclotomic[n, 8]; c/GCD[n, c], {n, 2, nn}]; p8 = Select[t8, PrimePowerQ]; p8 = Table[FactorInteger[i][[1, 1]], {i, p8}]; Table[FromDigits[IntegerDigits[i, 8]], {i, p8}]
Cf. A040017 (base-10 unique-period primes), A161509 (base 2).
Cf. S000024, S000031.
nonn,base
T. D. Noe, May 14 2014