A067822 The start of a record-breaking run of consecutive integers with a number of prime factors equal to 7.

128, 29888, 3145310, 296299374, 15605704374, 242576758750, 1981162639374, 126460514648223

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Example

a(3) = 3145310 because 3145310 is the start of a record breaking run of 3 consecutive integers (3145310 to 3145312) each having 7 prime factors; i.e., bigomega(n) = A001222(n) = 7 for n = 3145310, ..., 3145312.

Mathematica

bigomega[n_] := Plus@@Last/@FactorInteger[n]; For[n=1; m=l=0, True, n++, If[bigomega[n]==7, l++, If[l>m, m=l; Print[n-l, " ", l]]; l=0]]

Crossrefs

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

Sequence in context: A333605 A264189 A264076 * A013996 A239648 A364173

Adjacent sequences: A067819 A067820 A067821 * A067823 A067824 A067825

Keyword

fini,more,nonn

Author

Shyam Sunder Gupta, Feb 07 2002

Extensions

Edited by Dean Hickerson, Jul 31 2002

More terms from Jens Kruse Andersen, Aug 23 2003

a(7) from Donovan Johnson, Jan 31 2009

a(8) from Brian Trial, Jun 28 2017

Status

approved