| Sphenic Number |
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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 , where ''p'', ''q'', and ''r'' are distinct primes, then the set of divisors of ''n'' will be: : The first few sphenic numbers are: 30 , 42 , 66 , 70 , 78 , 102 , 105 , 110 , 114 , 130 , 138 , 154 , ... Currently, the largest known sphenic number is (230,402,457 − 1)(225,964,951 − 1)(224,036,583 − 1), i.e., the product of the three largest known Mersenne Prime s. EXTERNAL LINKS |
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