A358674 - OEIS

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A358674

Numbers k for which there is a factorization of k into such a pair of natural numbers x and y, that the sum (x * y') + (x' * y) will generate at least one carry when the addition is done in the primorial base. Here n' stands for A003415(n), the arithmetic derivative of n.

8, 9, 10, 15, 16, 20, 21, 22, 24, 25, 28, 30, 32, 33, 34, 35, 36, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 64, 65, 66, 68, 69, 72, 75, 76, 77, 78, 80, 81, 82, 84, 85, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 118, 119

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..73.

Index entries for sequences related to primorial base

FORMULA

{k | A358235(k) < A038548(k)}.

EXAMPLE

Refer to the examples in A358235 to see why 24 is included in this sequence.

PROG

(PARI) isA358674(n) = !A358672(n);