A060518 -id:A060518 - cp's OEIS frontend

A060519 Primes p that have exactly three primitive roots that are not primitive roots mod p^2.

1103, 6569, 13187, 14939, 15313, 16649, 18587, 22091, 22769, 25163, 26189, 26759, 32069, 32647, 33289, 34381, 34939, 37397, 38459, 39047, 42863, 47189, 47699, 54011, 54139, 57173, 57527, 57923, 59539, 61553, 63311, 63347, 63467

Offset: 1

Jud McCranie, Mar 24 2001

nonn

If x is a primitive root mod prime p then either x is a primitive root mod p^2 or x has order p-1 mod p^2.

			284, 793 and 1054 are primitive roots mod 1103, but not mod 1103^2.

Cf. A060503, A055578, A060518, A060520.

A060520 Primes p that have at least four primitive roots that are not primitive roots mod p^2.

Original entry on oeis.org

653, 16631, 40487, 50033, 52517, 67631, 80803, 138107, 145253, 147197

Offset: 1

Jud McCranie, Mar 24 2001

40487 is unusual - it has four primitive roots with this property (5, 5^3, 5^5, 4492) and 5 is the least positive primitive root mod 40487 - see A055578.

			13425, 18243, 34196, 38462, 39362 and 51787 are primitive roots mod 52517, but not mod 52517^2.

Cf. A060503, A055578, A060518, A060519.

cp's OEIS Frontend

A060519 Primes p that have exactly three primitive roots that are not primitive roots mod p^2.

Views

Author

Keywords

Comments

Examples

Crossrefs