Counts for 5-digit primes Vertical: digit sum (multiples of 3 omitted) Horizontal: first digit | 1 2 3 4 5 6 7 8 9 | total ----+-------------------------------------+------ 2 | | 0 4 | 1 3 | 4 5 | 7 4 1 | 12 7 | 11 10 3 2 2 | 28 8 | 19 12 5 4 2 2 1 | 45 10 | 26 24 15 12 9 3 4 1 1 | 95 11 | 46 29 25 15 16 6 2 3 1 | 143 13 | 61 48 43 30 20 15 10 6 3 | 236 14 | 66 51 43 33 23 25 12 13 6 | 272 16 | 85 70 61 46 44 38 25 24 18 | 411 17 | 90 86 77 62 51 39 34 25 15 | 479 19 | 106 93 88 73 72 58 54 44 42 | 630 20 | 97 103 84 80 74 68 62 53 43 | 664 22 | 90 83 94 97 79 76 84 76 63 | 742 23 | 89 93 101 88 88 80 77 73 68 | 757 25 | 75 78 82 84 91 85 88 85 73 | 741 26 | 61 67 65 79 94 87 87 83 83 | 706 28 | 37 50 52 63 65 68 82 82 81 | 580 29 | 32 32 49 54 64 66 72 74 85 | 528 31 | 18 19 26 41 52 46 52 61 64 | 379 32 | 9 17 19 36 34 46 57 58 65 | 341 34 | 3 7 13 15 17 29 34 34 53 | 205 35 | 4 3 9 11 12 23 27 35 42 | 166 37 | 1 2 3 7 9 16 15 31 | 84 38 | 1 1 7 6 11 16 20 | 62 40 | 1 2 5 10 16 | 34 41 | 1 1 5 3 3 | 13 43 | 1 2 1 | 4 44 | 2 | 2 ----+-------------------------------------+------ tot |1033 983 958 930 924 878 902 876 879 | 8363 Max count is 757 for digit sum 23