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A323084 k-digit numbers whose digit(s) are the number of distinct prime factors (with multiplicity) in each of the following k integers. 1

%I #14 Jan 07 2019 04:32:23

%S 0,1,12,21,4224,153426,442451,471614,523291,4336232,474335342,

%T 3624263478,36443455382,244936365228,452527642826,593326437534,

%U 4372566243537

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

%C a(6)-a(12) found by Carlos Rivera.

%C a(18) > 10^13. - _Giovanni Resta_, Jan 04 2019

%H Chris Caldwell and G. L. Honaker, Jr., <a href="https://primes.utm.edu/curios/page.php?curio_id=33930">Prime Curio for 4224</a>

%e 4224 is a term because 4224 is a 4-digit number whose digits (4,2,2,4) are the number of prime factors (with multiplicity) in each of the following 4 integers; i.e., 4225 = 5^2*13^2 (four prime factors), 4226 = 2*2113 (two prime factors), 4227 = 3*1409 (two prime factors), and 4228 = 2^2*7*151 (four prime factors), therefore (4,2,2,4) -> 4224.

%Y Cf. A000040, A001222, A323083.

%K nonn,base,more

%O 1,3

%A _G. L. Honaker, Jr._, Jan 03 2019

%E a(13)-a(17) from _Giovanni Resta_, Jan 04 2019

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Last modified April 27 07:52 EDT 2024. Contains 372009 sequences. (Running on oeis4.)