A281336 a(n) is the smallest composite number having the same base-n digits (both type and quantity) as its prime factors (with multiplicity).

159, 7847, 1135, 83494, 57, 30057, 85, 72646, 1255, 18193, 185, 101212405, 4119, 63791, 88357, 31054582, 489, 4196517, 451, 4598494, 13315, 1012985, 679, 7009758597, 26533, 2884373, 985, 646372334, 1057, 989775393, 1285, 1395750166, 179503, 73294351, 1387

Offset

2,1

Comments

A278981(n) <= A281336(n)

Links

Table of n, a(n) for n=2..36.

Example

In base 2: The digits of 159 (10011111) are the same type and quantity as the total of those in its prime factors, 3 (11) and 53 (110101); 2 zeros, 6 ones.
In base 26: The digits of 26533 (1,13,6,13) are the same type and quantity as the total of those in its prime factors, 13 (13), 13 (13), and 157 (6,1); 1 one, 1 six, 2 thirteens.

Crossrefs

Cf. A278981, A280928, A281335.

Sequence in context: A121800 A121804 A293920 * A205164 A221011 A267964

Adjacent sequences: A281333 A281334 A281335 * A281337 A281338 A281339

Keyword

nonn,base

Author

Hans Havermann, Jan 20 2017

Status

approved