A387701 - OEIS

A387701

Smallest number m such that m, m+1, m+2, m+3, m+4 and m+5 have exactly n prime factors (counted with multiplicity).

2522, 204323, 14845324, 4843161124, 242576758750, 639897758272912

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

OFFSET

3,1

COMMENTS

a(9) > 2 * 10^15.

LINKS

Table of n, a(n) for n=3..8.

EXAMPLE

a(4) = 204323 = 7*17^2*101, a(4)+1 = 204324 = 2^2*3*17027, a(4)+2 = 204325 = 5^2*11*743, a(4)+3 = 204326 = 2*19^2*283, a(4)+4 = 204327 = 3^2*73*311, a(4)+5 = 204328 = 2^3*25541 (all products of four prime factors).

CROSSREFS

Cf. A001222, A115186, A113752, A356893, A387505.

Sequence in context: A264339 A045942 A375239 * A308735 A096026 A278003

Adjacent sequences: A387698 A387699 A387700 * A387702 A387703 A387704

KEYWORD

nonn,hard,more

AUTHOR

Toshitaka Suzuki, Sep 06 2025

STATUS

approved