A124942 Numbers k such that k and k+5 are 5-almost primes.
675, 1323, 1372, 1480, 1750, 1875, 2295, 2920, 3100, 3856, 4095, 4120, 4180, 4275, 4375, 5175, 5427, 5643, 5775, 5980, 6370, 6375, 6520, 6723, 6820, 7150, 7155, 7203, 7240, 7245, 7960, 8325, 8883, 8920, 9075, 9207, 9555, 9620, 9625, 9747, 9855, 9940
Offset: 1
Examples
675=3^3*5^2, 680=2^3*5*17; 1323=3^3*7^2, 1328=2^4*83.
Links
- Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
Select[Range[10000],PrimeOmega[#]==PrimeOmega[#+5]==5&] (* James C. McMahon, Dec 13 2024 *) Select[Partition[Range[10000],6,1],PrimeOmega[#[[1]]]==PrimeOmega[#[[6]]]==5&][[;;,1]] (* Harvey P. Dale, Aug 27 2025 *)
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PARI
isok(n) = (bigomega(n) == 5) && (bigomega(n+5) == 5); \\ Michel Marcus, Oct 11 2013