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Sphenic NumberA sphenic number is a positive integer that is the product of three distinct prime factors. The Mbius function returns -1 when passed any sphenic number. Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic. All sphenic numbers have exactly eight divisors. If we express the sphenic number as , then its divisors will be (possibly not sorted): -
The first few sphenic numbers are: 30, 42, 66, 70, 78, 102, 105, 110, 114, 130, ... External links
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