A353980 Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a primorial number (A002110).

3, 4, 5, 7, 8, 9, 24, 28, 29, 31, 32, 36, 180, 204, 208, 209, 211, 212, 213, 214, 215, 216, 222, 2100, 2124, 2280, 2304, 2308, 2309, 2311, 2312, 2313, 2314, 2315, 2316, 2514, 27720, 29820, 29844, 30000, 30024, 30028, 30029, 30031, 30032, 30033, 30034, 30035

Offset: 1

Author

Rémy Sigrist, May 13 2022

Keywords

• nonn

Comments

The sequence is well defined:

- a(1) = 3,

- for n > 0, let k be such that A002110(k) + 1 + a(1) + ... + a(n) < A002110(k+1),

- then a(n+1) <= A002110(k) + 1.

Links

• Rémy Sigrist, C++ program

Crossrefs

See A353966 for similar sequences.

Cf. A002110, A353981, A353982.