A396157
Composites k not of the form 8*p or 9*q, odd prime p, prime q != 3, such that rad(k)*bigomega(k) = k, with rad = A007947 and bigomega = A001222.
Official Comments
Numbers of the form 8*p, p = prime(i), i > 1, are such that rad(8*p)*bigomega(8*p) = (2*p)*4 = 8*p.
Numbers of the form 9*q, q = prime(j), j != 2, are such that rad(9*q)*bigomega(9*q) = (3*q)*3 = 9*q.
Composite numbers k such that k/rad(k) = bigomega(k), that are also not of the above 2 forms, appear in this sequence.
The number 4 is the only powerful number in this sequence. Without 4, this sequence is a proper subset of A332785.
Sequence Chart
Data
4,1050,1260,1650,1950,1980,2340,2550,2772,2850,3060,3276,3420,3450,3850,4140,4284,4350,4550,4650,4788,5148,5220,5550,5580,5775,5796,5950,6150,6450,6650,6660,6732,6825,7050,7150,7308,7380,7524,7740,7812,7950,7956,8050
Cross-References
See also OEIS entries: Cf A001222 A002808 A007947 A332785 A396594