A177710 Values of n where A046801(n) produces a record.

1, 2, 4, 6, 8, 12, 18, 20, 24, 36, 48, 60, 72, 84, 108, 120, 144, 168, 180, 288, 300, 360, 420, 540, 660, 720, 780, 840, 900, 1080

Offset: 1

Author

J. Lowell, May 11 2010

Keywords

• hard
• nonn
• more

Examples

			240 doesn't qualify because 2^180-1 has 6291456 divisors but 2^240-1 has only 4718592 divisors.
		

Links

• Vjekoslav Kovač and Florian Luca, On the number of divisors of Mersenne numbers, arXiv:2506.04883 [math.NT], 2025. See Table 1 p. 8.

Crossrefs

Cf. A046801.

Extensions

Corrected and extended by Alois P. Heinz, Sep 13 2011

a(24)-a(30) from Amiram Eldar, Sep 02 2019