A334583 Numbers m such that m, m + 1 and m + 2 each have exactly eight prime factors, not necessarily distinct.

40909374, 71410624, 87278750, 126237375, 152439488, 161590624, 166450624, 209140623, 227929624, 243409374, 267308990, 267639470, 290696768, 291513248, 292088510, 295644734, 307885374, 310314158, 319874750, 321890750, 331690624, 336958622, 343030624, 352749248, 354109374, 356269374, 366681248, 391390623, 401375168, 407590623

Offset: 1

Author

Zak Seidov, May 06 2020

Keywords

• nonn

Examples

			40909374 = 2 * 3^4 * 11^2 * 2087, 40909375 = 5^5 * 13 * 19 * 53, and 40909376 = 2^6 * 179 * 3571.
		

Crossrefs

Intersection of A045939 and A046310.

Cf. A001222, A113752, A113789.

Programs

PARI

list(lim)=my(v=List(), k, o); forfactored(n=40909374, lim\1+2, o=bigomega(n); if(o==8, if(k++>2, listput(v, n[1]-2)), k=0)); Vec(v) \\ Charles R Greathouse IV, May 07 2020

Formula

A001222(a(n)+i) = 8 for i in {0,1,2}.