A327782 Numbers n that cannot be written as a sum of two or more distinct parts with the largest part dividing n.

1, 2, 3, 4, 5, 7, 9, 11, 13, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 77, 79, 83, 89, 97, 101, 103, 107, 109, 113, 121, 127, 131, 137, 139, 143, 149, 151, 157, 163, 167, 169, 173, 179, 181, 187, 191, 193, 197, 199, 209, 211, 221

Offset: 1

Author

Gus Wiseman, Sep 25 2019

Keywords

• nonn

Comments

After initial terms, first differs from A308168 in having 209.

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000
• Francisco Javier de Vega, Some Variants of Integer Multiplication, Axioms (2023) Vol. 12, 905. See p. 8.

Crossrefs

Cf. A000009, A018818, A032742, A033630, A102627, A326836, A326837, A326841, A326850, A326851, A327783.

Programs

Mathematica

Select[Range[100],#==1||#-Divisors[#][[-2]]>Total[Range[Divisors[#][[-2]]-1]]&]