A318239 a(n) is the smallest primitive root of A133433(n).

2, 3, 5, 6, 7, 10, 11, 12, 18, 20, 24, 40, 42, 45, 48, 54, 72, 80, 96

Offset

1,1

Comments

Also with an initial 1, numbers k such that A023048(k) set a new record.

If A023048(108) != 0 (which is implied assuming generalized Artin's conjecture) then the next term of this sequence is 108.

Conjecturally 11 is the largest prime in this sequence, 42 is the largest squarefree term, and 45 is the largest odd term.

Links

Table of n, a(n) for n=1..19.

Tomás Oliveira e Silva, Least primitive root of prime numbers

Example

The smallest prime with least primitive root 11 is 643, and the smallest prime with least primitive root 2, 3, 5, ..., 10 are all < 643, so 11 is a term.
The smallest prime with least primitive root 45 is 95525767, and the smallest prime with least primitive root 2, 3, 5, ..., 44 are all < 95525767, so 45 is a term.
13 is not a term since the smallest prime with least primitive root 13 is 457, but the smallest prime with least primitive root 12 is 4111, which is larger than 457.

Crossrefs

Cf. A023048, A133433.

Sequence in context: A028781 A136149 A101882 * A059266 A336222 A252895

Adjacent sequences: A318236 A318237 A318238 * A318240 A318241 A318242

Keyword

nonn,hard,more

Author

Jianing Song, Aug 22 2018

Status

approved