A387887 The start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 10.

1024, 3290624, 9864741248, 59004826709373

Offset

1,1

Comments

The maximum number of terms is 1023.

a(5) > 2 * 10^15.

Links

Table of n, a(n) for n=1..4.

Example

a(3) = 9864741248 because 9864741248 is the start of a record breaking run of 3 consecutive integers (9864741248 to 9864741250) each having 10 prime factors; i.e., bigomega(k) = A001222(k) = 10 for k = 9864741248, ..., 9864741250.

Crossrefs

Cf. A001222, A067813, A067814, A067820, A067821, A067822, A387518, A387772.

Sequence in context: A223355 A222142 A185564 * A016798 A330485 A016834

Adjacent sequences: A387884 A387885 A387886 * A387888 A387889 A387890

Keyword

nonn,fini,more

Author

Toshitaka Suzuki, Sep 11 2025

Status

approved