A387518 The start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 8.

256, 50624, 40909374, 4109290623, 1300091574624, 639897758272912

Offset

1,1

Comments

a(7) > 2 * 10^15.

Links

Table of n, a(n) for n=1..6.

Example

a(3) = 40909374 because 40909374 is the start of a record breaking run of 3 consecutive integers (40909374 to 40909376) each having 8 prime factors; i.e. bigomega(n) = A001222(n) = 8 for n = 40909374, ..., 40909376.

Crossrefs

Cf. A001222, A067813, A067814, A067820, A067821, A067822.

Sequence in context: A132637 A114850 A362498 * A017440 A237068 A204302

Adjacent sequences: A387515 A387516 A387517 * A387519 A387520 A387521

Keyword

fini,more,nonn

Author

Toshitaka Suzuki, Sep 01 2025

Status

approved