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A330049 Maximum width of an element in the set of minimal base-n representations of the primes. 1

%I #13 Jan 25 2021 19:02:48

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

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

%C See A330048 for more information.

%C 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.

%C a(30) = 1024, a(42) = 487, a(60) = 1938; private communication from Raymond Devillers. - _Hugo Pfoertner_, Jan 25 2021

%H Curtis Bright, Raymond Devillers, and Jeffrey Shallit, <a href="https://cs.uwaterloo.ca/~cbright/reports/mepn.pdf">Minimal Elements for the Prime Numbers</a>, June 11, 2015.

%e 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.

%Y Cf. A071062, A111055, A111056, A330048.

%K nonn,hard,more

%O 2,1

%A _Hugo Pfoertner_, Nov 29 2019

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