A387886 Smallest number m such that m, m+1, m+2, m+3, m+4, m+5, m+6 and m+7 have exactly n prime factors (counted with multiplicity).

3405122, 888781058, 412352139170, 126460514648223

Offset

4,1

Comments

a(8) > 2 * 10^15.

Links

Table of n, a(n) for n=4..7.

Example

a(4) = 3405122 = 2*7*29*8387, a(4)+1 = 3405123 = 3^2*19*19913, a(4)+2 = 3405124 = 2^2*127*6703, a(4)+3 = 3405125 = 5^3*27241, a(4)+4 = 3405126 = 2*3*59*9619, a(4)+5 = 3405127 = 11*23*43*313, a(4)+6 = 3405128 = 2^3*425641, a(4)+7 = 3405129 = 3*7*13*12473 (all products of four prime factors).

Crossrefs

Cf. A001222, A115186, A113752, A356893, A387505, A387701, A387702.

Sequence in context: A157106 A123201 A358017 * A258517 A258510 A254997

Adjacent sequences: A387883 A387884 A387885 * A387887 A387888 A387889

Keyword

nonn,hard,more

Author

Toshitaka Suzuki, Sep 11 2025

Status

approved