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

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

Offset

2,1

Comments

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

Links

Table of n, a(n) for n=2..16.

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

Example

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.

Crossrefs

Cf. A071062, A111055, A111056, A330048.

Sequence in context: A144308 A144307 A144310 * A240858 A035361 A137851

Adjacent sequences: A330046 A330047 A330048 * A330050 A330051 A330052

Keyword

nonn,hard,more

Author

Hugo Pfoertner, Nov 29 2019

Status

approved