A219461 Primes p such that 2^p - 1 is a prime with primitive root 3.

3, 5, 7, 17, 19, 89, 107, 521, 2203, 2281, 4253

Offset

1,1

Comments

If A096393(n) = 3, then A000043(n) belongs to this sequence.

2^a(n) - 1 is in A001123.

a(12) >= 21701. - Max Alekseyev, Feb 08 2024

Links

Table of n, a(n) for n=1..11.

Discussion titled Conjecture about multiplicative order of 3 modulo a Mersenne prime, (postings in mersenneforum.org), starting May 14 2006.

Index entries for primes by primitive root

Mathematica

Select[Prime@Range[98], PrimitiveRoot[2^# - 1] == 3 &]

Crossrefs

Subsequence of A000043.

Cf. A001123, A096393.

Sequence in context: A331800 A062547 A125739 * A122853 A137258 A053341

Adjacent sequences: A219458 A219459 A219460 * A219462 A219463 A219464

Keyword

hard,more,nonn

Author

Arkadiusz Wesolowski, Nov 20 2012

Extensions

a(9)-a(11) from Max Alekseyev, Feb 07 2024

Status

approved