A387702 Smallest number m such that m, m+1, m+2, m+3, m+4, m+5 and m+6 have exactly n prime factors (counted with multiplicity).

211673, 355923, 69921004, 25189114374, 1981162639374

Offset

3,1

Comments

a(8) > 2 * 10^15.

Links

Table of n, a(n) for n=3..7.

Example

a(4) = 355923 = 3^2*71*557, a(4)+1 = 355924 = 2^2*101*881, a(4)+2 = 355925 = 5^2*23*619, a(4)+3 = 355926 = 2*3*137*433, a(4)+4 = 355927 = 11*13*19*131, a(4)+5 = 355928 = 2^3*44491, a(4)+6 = 355929 = 3*7*17*997 (all products of four prime factors).

Crossrefs

Cf. A001222, A115186, A113752, A356893, A387505, A387701.

Sequence in context: A236086 A123103 A259756 * A251511 A252880 A158993

Adjacent sequences: A387699 A387700 A387701 * A387703 A387704 A387705

Keyword

nonn,hard,more

Author

Toshitaka Suzuki, Sep 06 2025

Status

approved