A317091 Positive integers whose prime multiplicities are weakly increasing and span an initial interval of positive integers.

2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 26, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 46, 47, 50, 51, 53, 55, 57, 58, 59, 61, 62, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 82, 83, 85, 86, 87, 89, 91, 93, 94, 95, 97, 98, 101, 102

Offset: 1

Author

Gus Wiseman, Jul 21 2018

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001222, A007916, A055932, A056239, A112798, A124010, A133808, A304678.

Cf. A317087, A317088, A317089, A317090, A317092.

Programs

Mathematica

normalQ[m_]:=Union[m]==Range[Max[m]];
Select[Range[2,150],And[normalQ[FactorInteger[#][[All,2]]],OrderedQ[FactorInteger[#][[All,2]]]]&]