http://projecteuler.net/problem=58
Spiral primes
Starting with 1 and spiralling anticlockwise in the following way, a square spiral with side length 7 is formed.
3736 35 34 33 3231
381716 15 141330
39 1854312 29
40 19 6 1 2 11 28
41 2078 9 10 27
42 21 22 23 24 25 26
4344 45 46 47 48 49It is interesting to note that the odd squares lie along the bottom right diagonal, but what is more interesting is that 8 out of the 13 numbers lying along both diagonals are prime; that is, a ratio of 8/13 62%.
If one complete new layer is wrapped around the spiral above, a square spiral with side length 9 will be formed. If this process is continued, what is the side length of the square spiral for which the ratio of primes along both diagonals first falls below 10%?