A323083 k-digit numbers whose digit(s) are the number of distinct prime factors in each of the following k integers.

0, 1, 12, 21, 22422, 24223, 33333, 34441524, 4242436235, 23443535352, 34462443242, 35256523324, 4341535435353, 4645441523344, 5244526446515, 5335524234335

Offset: 1

Author

G. L. Honaker, Jr., Jan 03 2019

Keywords

• nonn
• base
• more

Comments

a(9) = 4242436235 found by Carlos Rivera.

a(17) > 10^13. - Giovanni Resta, Jan 04 2019

Examples

			21 is a term because 21 is a 2-digit number and its digits (2,1) are the number of distinct prime factors in each of the following 2 integers; i.e., 22 = 2*11 (two distinct prime factors) and 23 = 23 (one distinct prime factor), therefore (2,1) -> 21.
		

Links

• Chris Caldwell and G. L. Honaker, Jr, Prime Curio for 24223

Crossrefs

Cf. A000040, A001221, A323084.

Programs

PARI

isok(m) = {my(d=digits(m)); for (i=1, #d, if (d[i] != omega(m+i), return(0));); return (1);}  \\ Michel Marcus, Oct 11 2021

Extensions

a(10)-a(16) from Giovanni Resta, Jan 04 2019