A350076 Numbers k for which the maximal digit in their primorial base expansion (A328114) is greater than or equal to the maximal exponent in the prime factorization of k (A051903).

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92

Offset: 1

Author

Antti Karttunen, Feb 01 2022

Keywords

• nonn
• base

Comments

Numbers k for which the maximal prime exponent of A276086(k) is greater than or equivalent to the maximal prime exponent of k, A051903(k).

Links

• Index entries for sequences related to primorial base

Crossrefs

Cf. A051903, A276086, A328114, A350070 (characteristic function), A350075 (complement).

Positions of nonnegative terms in A350074.

Cf. also A342006.

Programs

PARI

A051903(n) = if((1==n),0,vecmax(factor(n)[, 2]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
isA350076(n) = (A051903(A276086(n)) >= A051903(n));