+33
Most non-negative integers can be written as the sum of a prime number plus a perfect square. For instance, 21 can be written as What is the smallest number greater than 1 which cannot be expressed in this way?
+128475 2 can be written as 2 (a prime) + 0 (a perfect square)
3 can be written as 2 ( a prime) + 1 (a perfect square)
4 can be written as 3 (prime) + 1 (a perfect square)
5 = 5 (a prime) + 0 (a perfect square)
6 = 5 (prime) + 1 (a perfect square)
7 = 3 (prime) + 4 (a perfect square)
8 = 7 (prime) + 1 (perfect square)
9 = 5 (prime) + 4 (perfect square)
10
0 (perfect square) + 10 (non-prime)
1 + 9 sum of two squares
2 (prime) + 8 (non-square)
3 + 7 sum of two primes
4 (perfect square) + 6 (non-prime)
5 + 5 sum of two primes
