A330048 Cardinalities of the sets of minimal base-n representations of the primes.

2, 3, 3, 8, 7, 9, 15, 12, 26, 152, 17, 228, 240, 100, 483

Offset: 2

Author

Hugo Pfoertner, Nov 29 2019

Keywords

• nonn
• hard
• more

Comments

For a continuation of the sequence see Figure 2 of the Bright, Devillers, Shallit article and Curtis Bright's GitHub repository.

a(17) >= 1279, a(18) = 50, a(19) >= 3462, a(20) = 651, a(21) >= 2599, a(22) = 1242, a(23) = 6021, a(24) = 306, a(25) >= 17597.

a(30) = 220, a(42) = 4551; private communication from Raymond Devillers. - Hugo Pfoertner, Jan 25 2021

Examples

			a(10) = 26 because the minimal set of prime-strings in base 10 consist of the 26 terms of A071062.
		

Links

• Curtis Bright, Raymond Devillers, and Jeffrey Shallit, Minimal Elements for the Prime Numbers, June 11, 2015.
• Curtis Bright, Computed data for the MEPN project, GitHub, 2017.

Crossrefs

Cf. A071062, A111055, A111056, A327282, A330049.