A330048 -id:A330048 - cp's OEIS frontend

A327282 Cardinalities of the minimal sets of base-n representations of the composite numbers.

3, 4, 9, 10, 19, 18, 26, 28, 32, 32, 46, 43, 52, 54, 60, 60, 95, 77, 87, 90, 94, 97, 137, 117, 111, 115, 131, 123, 207, 147, 160, 163, 201, 169, 216, 173, 185, 195, 242, 205, 331, 229, 242, 252, 277, 261, 411, 294, 292, 290, 322, 299, 438, 331, 304, 331, 356, 339, 659, 375, 379, 404, 461, 412

Offset: 2

Hugo Pfoertner, Nov 29 2019

nonn

Second column |M(S_b)| of Figure 4 on page 20 of the Bright, Devillers, Shallit article.

			a(10) = 32 because there are 32 elements in the minimal set of composite-strings in base 10, given in A071070.

Curtis Bright, Raymond Devillers, and Jeffrey Shallit, Minimal Elements for the Prime Numbers, June 11, 2015.
Curtis Bright, Computed data for the MEPN project, data for composites, GitHub, 2015.
Raymond Devillers, Minimal primes and left-right-truncatable primes, GitHub repository, 2021.
Mersenneforum, Generalized minimal (probable) primes, Jan 2021.

Cf. A071070, A330048.

a(31)-a(65) from Hugo Pfoertner using data from Raymond Devillers, Jan 12 2021

A330049 Maximum width of an element in the set of minimal base-n representations of the primes.

Original entry on oeis.org

2, 3, 2, 5, 5, 5, 9, 4, 8, 45, 8, 32021, 86, 107, 3545

Offset: 2

Hugo Pfoertner, Nov 29 2019

See A330048 for more information.
a(17) >= 111334, a(18) = 33, a(19) >= 110986, a(20) = 449, a(21) >= 47336, a(22) = 764, a(23) = 800874, a(24) = 100, a(25) >= 136967.
a(30) = 1024, a(42) = 487, a(60) = 1938; private communication from Raymond Devillers. - Hugo Pfoertner, Jan 25 2021

			a(10) = 8 because the largest member of the minimal set of prime-strings in base 10 is A071062(26) = 66600049 with 8 decimal digits.

Curtis Bright, Raymond Devillers, and Jeffrey Shallit, Minimal Elements for the Prime Numbers, June 11, 2015.

Cf. A071062, A111055, A111056, A330048.

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A327282 Cardinalities of the minimal sets of base-n representations of the composite numbers.

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