A351099 Composite numbers k such that the maximal digit value in primorial base expansion of the arithmetic derivative of k is not larger than the maximal exponent in the prime factorization of k.

4, 8, 9, 10, 12, 14, 15, 16, 24, 25, 28, 30, 32, 36, 40, 45, 48, 49, 50, 54, 56, 58, 62, 64, 68, 74, 81, 87, 96, 98, 99, 108, 112, 120, 125, 128, 136, 155, 156, 160, 161, 162, 184, 189, 192, 196, 198, 203, 204, 208, 209, 210, 212, 217, 220, 221, 224, 225, 236, 244, 246, 247, 250, 252, 256, 268, 270, 272, 280, 282, 288

Offset

1,1

Comments

Composite k such that A328390(k) <= A051903(k).

Composite k for which A051903(A327859(n)) <= A051903(k).

Links

Table of n, a(n) for n=1..71.

Prog

(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A051903(n) = if((1==n), 0, vecmax(factor(n)[, 2]));
A328114(n) = { my(s=0, p=2); while(n, s = max(s, (n%p)); n = n\p; p = nextprime(1+p)); (s); };
isA351099(n) = (n>1&&!isprime(n)&&(A328114(A003415(n)) <= A051903(n)));

Crossrefs

Cf. A003415, A051903, A276086, A327859, A328390, A351097, A351098 (subsequence).

Sequence in context: A189207 A127162 A096529 * A193166 A379947 A155101

Adjacent sequences: A351096 A351097 A351098 * A351100 A351101 A351102

Keyword

nonn

Author

Antti Karttunen, Feb 03 2022

Status

approved