A376078 - OEIS

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A376078

The smallest number whose prime factor concatenation when written in all bases k, where k = 2...n, contains all digits 0,1,...,(k-1).

2, 6, 38, 190, 5662, 39255, 1206042, 22481939, 392228153, 6329975006

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OFFSET

2,1

COMMENTS

Up to a(11) all terms have prime factors whose concatenation length in base n is n, the minimum possible value. Is this true for all a(n)?

LINKS

Table of n, a(n) for n=2..11.

EXAMPLE

a(7) = 39255 as 39255 = 3*5*2617 = 11_2*101_2*101000111001_2 = "11101101000111001" which contains all digits 0...1 = 10_3*12_3*10120221_3 = "101210120221" which contains all digits 0...2, 3_4*11_4*220321_4 = "311220321" which contains all digits 0...3 = 3_5*10_5*40432_5 = "31040432" which contains all digits 0...4 = 3_6*5_6*20041_6 = "3520041" which contains all digits 0...5 = 3_7*5_7*10426_7 = "3510426" which contains all digits 0...6.

CROSSREFS

Cf. A372309, A373645, A055085, A027748.

Sequence in context: A186648 A372309 A013033 * A233130 A267405 A027322

Adjacent sequences: A376075 A376076 A376077 * A376079 A376080 A376081

KEYWORD

nonn,base,more

AUTHOR

Scott R. Shannon, Sep 09 2024

STATUS

approved