Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

According to Wikipedia,

A Sphenic number is a positive integer which >is the product of three distinct prime

Anybody knows whether there is a list, say first 1000 sphenic numbers? It would be much helpful to know.

Thanks in advance

share|cite|improve this question
I edited the title question. (The answer to your previous question is, quite clearly, "infinitely many.") – Qiaochu Yuan Oct 4 '10 at 8:26
Does it mean that the set of sphenic numbers is infinite? Since, prime numbers are infinite it is understandable. But, I hear the further go to the positive X-axis the fewer you get primes. So, the set of shpenic numbers at hand might be finite? – user1869 Oct 4 '10 at 9:32
To get a sphenic number, you just take any three distinct primes (and there are clearly infinitely many ways of choosing three primes!) and multiply them. – Hans Lundmark Oct 4 '10 at 11:33
Thanks. But, isn't it just n*(n-1)*(n-2), where n is the number of distinct primes? – user1869 Oct 4 '10 at 13:37
@Sazzad, you should really explain the term "sphenic" (or any other uncommon term you are using) before using it :-) – Srivatsan Sep 8 '11 at 16:15
up vote 6 down vote accepted

The first 10000 are listed here. (Found via Wikipedia: Sphenic number and OEIS.)

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.