A387505 Smallest number m such that m, m+1, m+2, m+3 and m+4 have exactly n prime factors (counted with multiplicity).

602, 12122, 632148, 101905622, 15605704374, 1300091574624, 431094129471872

Offset: 3

Author

Toshitaka Suzuki, Aug 31 2025

Keywords

• nonn
• hard
• more
• new

Comments

a(10) > 2 * 10^15.

Examples

			a(4) = 12122 = 2*11*19*29, a(4)+1 = 12123 = 3^3*449, a(4)+2 = 12124 = 2^2*7*433, a(4)+3 = 12125 = 5^3*97, a(4)+4 = 12126 = 2*3*43*47 (all products of four prime factors).
		

Crossrefs

Cf. A001222, A115186, A113752, A356893.