Gene Browder
Sec 4.3
3/9/2010
3. For any positive number n, it can be shown that there exists an even integer a, that is representable as the sum of two odd primes in n different ways. Confirm that the integers 66, 96, and 108 can be written as the sum of two primes in six, seven, and eight ways, respectively. 66 66 66 66 66 66 66 66 66 66 66
2 3 5 7 11 13 17 19 23 29 31
64 63 61 59 55 53 49 47 43 37 35
96 96 96 96 96 96 96 96 96 96 96 96
2 3 5 7 11 13 17 19 23 29 31 37
94 93 91 89 85 83 79 77 73 67 65 59
108 108 108 108 108 108 108 108 108 108 108 108 108 108 108 108
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53
106 105 103 101 97 95 91 89 85 79 77 71 67 65 61 55