3
votes
1answer
66 views

Existence of a prime partition

I'm interested in finding out whether there exists a prime partition of a given positive integer $N>1$ such that the partition has specific number of parts. For instance, as given in another ...
1
vote
1answer
37 views

show that there is some element x∈X whose stabilizer Gx is all of G where G is a group of order p^k, where p is prime and k is a positive integer

I'm having trouble with this problem: Suppose that G is a group of order p^k, where p is prime and k is a positive integer.
0
votes
1answer
65 views

General term of this sequence

I wanted to know the General term or the function to generate this sequence I found on OEIS. It is the number of ways to express $2n+1$ as $p+2q$; where $p$ and $q$ can be odd prime number and even ...
0
votes
0answers
92 views

Knapsack like problem for product of distinct primes

While looking into ways of generating certain kinds of pseudo-random number sequences I came up with the issue of finding the maximum of products of distict primes with a sum less than N. I'm ...
1
vote
3answers
353 views

Finite or infinite set?

Due to my not-so-advanced math skills, this question may take a few attempts to state clearly: Consider the unordered pair (2-tuple) partitions of n (e.g. with n=4, we have {{4,0},{3,1},{2,2}}). ...
10
votes
4answers
1k views

Prime Partition

A prime partition of a number is a set of primes that sum to the number. For instance, {2 3 7} is a prime partition of $12$ because $2 + 3 + 7 = 12$. In fact, there ...