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A330048
Cardinalities of the sets of minimal base-n representations of the primes.
2
2, 3, 3, 8, 7, 9, 15, 12, 26, 152, 17, 228, 240, 100, 483
OFFSET
2,1
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
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.
EXAMPLE
a(10) = 26 because the minimal set of prime-strings in base 10 consist of the 26 terms of A071062.
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Hugo Pfoertner, Nov 29 2019
STATUS
approved