- #1
abiyo
- 43
- 0
Hi All,
So I was just wondering if there is a formula for the number of ways a number can be written
as a sum of squares?(Without including negatives, zero or repeats). For example 5=2^2+1^2. (There is only one way for 5).
Second question along this line is: In how many ways can a number be written as a sum of primes(i.e a sum of two primes, three primes ).
Third Question: 10=2+3+5 Thus 10 can be written as a sum of maximum three prime numbers; no more. Is there such an upper bound for other numbers? I was doing this for
small numbers but would be interesting to see if there is some sort of pattern or theory
Thanks a lot
Abiyo
So I was just wondering if there is a formula for the number of ways a number can be written
as a sum of squares?(Without including negatives, zero or repeats). For example 5=2^2+1^2. (There is only one way for 5).
Second question along this line is: In how many ways can a number be written as a sum of primes(i.e a sum of two primes, three primes ).
Third Question: 10=2+3+5 Thus 10 can be written as a sum of maximum three prime numbers; no more. Is there such an upper bound for other numbers? I was doing this for
small numbers but would be interesting to see if there is some sort of pattern or theory
Thanks a lot
Abiyo