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A293477 Composite numbers k = concat(MSD(k),x) such that k' = x', where k' is the arithmetic derivative of k. 1

%I #15 Oct 23 2017 20:03:33

%S 169,1219,1339,1966,3959,7519,11569,17845,35579,37391,38579,77593,

%T 94249,94319,95299,96139,97271,97969,99691,106159,107629,115069,

%U 137533,150071,168505,188297,247589,339629,345911,352829,362771,363191,365399,370259,381779,382043

%N Composite numbers k = concat(MSD(k),x) such that k' = x', where k' is the arithmetic derivative of k.

%H Paolo P. Lava, <a href="/A293477/b293477.txt">Table of n, a(n) for n = 1..150</a>

%e 169' = 69' = 26, so 169 is a term.

%e 3959' = 959' = 144, so 3959 is a term.

%p with(numtheory): P:=proc(q) local a,k,n,p,x,y; for n from 2 to q do

%p if not isprime(n) then x:=n mod 10^(ilog10(n)); a:=x*add(op(2, p)/op(1,p), p=ifactors(x)[2]);

%p if n*add(op(2, p)/op(1, p), p=ifactors(n)[2])=a then print(n); fi; fi; od; end: P(10^6);

%Y Cf. A000030 (MSD), A003415 (arithmetic derivative).

%K nonn,base,easy

%O 1,1

%A _Paolo P. Lava_, Oct 10 2017

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)