TITLE: Can we tell if a number is prime by the number of its partition ?
QUESTION [3 upvotes]: Can we tell if a number is prime by  the number of its partition ? 
Or in general, how much can we know about a number itself from its partition function ?
I understand that Ramanujan has some observation some properties about congruence of a few numbers. 
Just want to know if there are more general results on this.

REPLY [2 votes]: No, I read http://en.wikipedia.org/wiki/Partition_%28number_theory%29 and I don't think primality can be determined by partitions. However, it does say you can find out if a number is coprime to 6.
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