For a,b,c = 1,...,20 with gcd(a,b) = 1, and n = 1,...,30, I have found the least ordered pair (p,q) of primes such that a*pi(p*n)-b*pi(q*n) = c. -- Zhi-Wei Sun (August 3, 2015) a b c: n p q ------------------ 1 1 1: 1 3 2 1 1 1: 2 3 2 1 1 1: 3 3 2 1 1 1: 4 3 2 1 1 1: 5 19 17 1 1 1: 6 61 59 1 1 1: 7 31 29 1 1 1: 8 241 239 1 1 1: 9 229 227 1 1 1: 10 109 107 1 1 1: 11 151 149 1 1 1: 12 349 347 1 1 1: 13 193 191 1 1 1: 14 571 569 1 1 1: 15 463 461 1 1 1: 16 271 269 1 1 1: 17 661 659 1 1 1: 18 313 311 1 1 1: 19 1279 1277 1 1 1: 20 2713 2711 1 1 1: 21 823 821 1 1 1: 22 1429 1427 1 1 1: 23 2713 2711 1 1 1: 24 3583 3581 1 1 1: 25 1021 1019 1 1 1: 26 1453 1451 1 1 1: 27 1321 1319 1 1 1: 28 9283 9281 1 1 1: 29 4933 4931 1 1 1: 30 6271 6269 1 1 2: 1 5 2 1 1 2: 2 5 2 1 1 2: 3 5 3 1 1 2: 4 19 17 1 1 2: 5 3 2 1 1 2: 6 3 2 1 1 2: 7 3 2 1 1 2: 8 43 41 1 1 2: 9 3 2 1 1 2: 10 3 2 1 1 2: 11 31 29 1 1 2: 12 3 2 1 1 2: 13 109 107 1 1 2: 14 139 137 1 1 2: 15 193 191 1 1 2: 16 181 179 1 1 2: 17 601 599 1 1 2: 18 241 239 1 1 2: 19 283 281 1 1 2: 20 859 857 1 1 2: 21 1429 1427 1 1 2: 22 643 641 1 1 2: 23 811 809 1 1 2: 24 1063 1061 1 1 2: 25 859 857 1 1 2: 26 1483 1481 1 1 2: 27 1051 1049 1 1 2: 28 1453 1451 1 1 2: 29 1231 1229 1 1 2: 30 1021 1019 1 1 3: 1 7 2 1 1 3: 2 7 3 1 1 3: 3 5 2 1 1 3: 4 5 3 1 1 3: 5 5 3 1 1 3: 6 5 3 1 1 3: 7 5 3 1 1 3: 8 3 2 1 1 3: 9 19 17 1 1 3: 10 19 17 1 1 3: 11 3 2 1 1 3: 12 19 17 1 1 3: 13 3 2 1 1 3: 14 109 107 1 1 3: 15 61 59 1 1 3: 16 73 71 1 1 3: 17 109 107 1 1 3: 18 103 101 1 1 3: 19 181 179 1 1 3: 20 199 197 1 1 3: 21 433 431 1 1 3: 22 181 179 1 1 3: 23 523 521 1 1 3: 24 433 431 1 1 3: 25 433 431 1 1 3: 26 811 809 1 1 3: 27 181 179 1 1 3: 28 601 599 1 1 3: 29 643 641 1 1 3: 30 811 809 1 1 4: 1 11 2 1 1 4: 2 7 2 1 1 4: 3 7 3 1 1 4: 4 5 2 1 1 4: 5 29 23 1 1 4: 6 19 17 1 1 4: 7 7 5 1 1 4: 8 7 5 1 1 4: 9 7 5 1 1 4: 10 7 5 1 1 4: 11 13 11 1 1 4: 12 13 11 1 1 4: 13 73 71 1 1 4: 14 3 2 1 1 4: 15 3 2 1 1 4: 16 3 2 1 1 4: 17 3 2 1 1 4: 18 31 29 1 1 4: 19 3 2 1 1 4: 20 103 101 1 1 4: 21 61 59 1 1 4: 22 3 2 1 1 4: 23 109 107 1 1 4: 24 109 107 1 1 4: 25 241 239 1 1 4: 26 199 197 1 1 4: 27 73 71 1 1 4: 28 421 419 1 1 4: 29 109 107 1 1 4: 30 199 197 1 1 5: 1 13 2 1 1 5: 2 11 3 1 1 5: 3 7 2 1 1 5: 4 7 2 1 1 5: 5 5 2 1 1 5: 6 5 2 1 1 5: 7 5 2 1 1 5: 8 17 13 1 1 5: 9 5 3 1 1 5: 10 5 3 1 1 5: 11 5 3 1 1 5: 12 101 97 1 1 5: 13 13 11 1 1 5: 14 19 17 1 1 5: 15 43 41 1 1 5: 16 43 41 1 1 5: 17 13 11 1 1 5: 18 3 2 1 1 5: 19 317 313 1 1 5: 20 3 2 1 1 5: 21 3 2 1 1 5: 22 139 137 1 1 5: 23 3 2 1 1 5: 24 3 2 1 1 5: 25 283 281 1 1 5: 26 229 227 1 1 5: 27 151 149 1 1 5: 28 151 149 1 1 5: 29 199 197 1 1 5: 30 283 281 1 1 6: 1 17 2 1 1 6: 2 11 2 1 1 6: 3 13 5 1 1 6: 4 11 5 1 1 6: 5 19 13 1 1 6: 6 7 3 1 1 6: 7 11 7 1 1 6: 8 5 2 1 1 6: 9 17 13 1 1 6: 10 71 67 1 1 6: 11 47 43 1 1 6: 12 5 3 1 1 6: 13 5 3 1 1 6: 14 5 3 1 1 6: 15 7 5 1 1 6: 16 13 11 1 1 6: 17 61 59 1 1 6: 18 7 5 1 1 6: 19 19 17 1 1 6: 20 61 59 1 1 6: 21 109 107 1 1 6: 22 19 17 1 1 6: 23 31 29 1 1 6: 24 73 71 1 1 6: 25 3 2 1 1 6: 26 3 2 1 1 6: 27 3 2 1 1 6: 28 241 239 1 1 6: 29 103 101 1 1 6: 30 193 191 1 1 7: 1 19 2 1 1 7: 2 13 2 1 1 7: 3 11 3 1 1 7: 4 13 5 1 1 7: 5 7 2 1 1 7: 6 23 17 1 1 7: 7 7 3 1 1 7: 8 7 3 1 1 7: 9 5 2 1 1 7: 10 5 2 1 1 7: 11 71 67 1 1 7: 12 71 67 1 1 7: 13 41 37 1 1 7: 14 131 127 1 1 7: 15 5 3 1 1 7: 16 5 3 1 1 7: 17 7 5 1 1 7: 18 43 41 1 1 7: 19 13 11 1 1 7: 20 19 17 1 1 7: 21 7 5 1 1 7: 22 7 5 1 1 7: 23 7 5 1 1 7: 24 31 29 1 1 7: 25 73 71 1 1 7: 26 13 11 1 1 7: 27 103 101 1 1 7: 28 3 2 1 1 7: 29 3 2 1 1 7: 30 3 2 1 1 8: 1 23 2 1 1 8: 2 17 3 1 1 8: 3 11 2 1 1 8: 4 41 29 1 1 8: 5 19 11 1 1 8: 6 7 2 1 1 8: 7 19 13 1 1 8: 8 29 23 1 1 8: 9 37 31 1 1 8: 10 17 13 1 1 8: 11 5 2 1 1 8: 12 5 2 1 1 8: 13 17 13 1 1 8: 14 41 37 1 1 8: 15 311 307 1 1 8: 16 107 103 1 1 8: 17 5 3 1 1 8: 18 5 3 1 1 8: 19 5 3 1 1 8: 20 5 3 1 1 8: 21 13 11 1 1 8: 22 13 11 1 1 8: 23 13 11 1 1 8: 24 13 11 1 1 8: 25 13 11 1 1 8: 26 43 41 1 1 8: 27 13 11 1 1 8: 28 19 17 1 1 8: 29 13 11 1 1 8: 30 31 29 1 1 9: 1 29 2 1 1 9: 2 17 2 1 1 9: 3 13 2 1 1 9: 4 11 3 1 1 9: 5 13 5 1 1 9: 6 19 13 1 1 9: 7 7 2 1 1 9: 8 17 11 1 1 9: 9 7 3 1 1 9: 10 7 3 1 1 9: 11 11 7 1 1 9: 12 11 7 1 1 9: 13 5 2 1 1 9: 14 17 13 1 1 9: 15 47 43 1 1 9: 16 47 43 1 1 9: 17 167 163 1 1 9: 18 41 37 1 1 9: 19 83 79 1 1 9: 20 7 5 1 1 9: 21 5 3 1 1 9: 22 197 193 1 1 9: 23 491 487 1 1 9: 24 7 5 1 1 9: 25 5 3 1 1 9: 26 19 17 1 1 9: 27 19 17 1 1 9: 28 13 11 1 1 9: 29 73 71 1 1 9: 30 503 499 1 1 10: 1 31 2 1 1 10: 2 19 2 1 1 10: 3 19 5 1 1 10: 4 11 2 1 1 10: 5 11 3 1 1 10: 6 29 19 1 1 10: 7 11 5 1 1 10: 8 7 2 1 1 10: 9 23 17 1 1 10: 10 11 7 1 1 10: 11 7 3 1 1 10: 12 17 13 1 1 10: 13 11 7 1 1 10: 14 5 2 1 1 10: 15 17 13 1 1 10: 16 157 151 1 1 10: 17 47 43 1 1 10: 18 107 103 1 1 10: 19 227 223 1 1 10: 20 41 37 1 1 10: 21 197 193 1 1 10: 22 101 97 1 1 10: 23 113 109 1 1 10: 24 5 3 1 1 10: 25 7 5 1 1 10: 26 5 3 1 1 10: 27 5 3 1 1 10: 28 7 5 1 1 10: 29 401 397 1 1 10: 30 353 349 1 1 11: 1 37 2 1 1 11: 2 23 3 1 1 11: 3 17 3 1 1 11: 4 13 2 1 1 11: 5 29 17 1 1 11: 6 11 3 1 1 11: 7 19 11 1 1 11: 8 11 5 1 1 11: 9 7 2 1 1 11: 10 7 2 1 1 11: 11 37 31 1 1 11: 12 29 23 1 1 11: 13 59 53 1 1 11: 14 11 7 1 1 11: 15 5 2 1 1 11: 16 5 2 1 1 11: 17 23 19 1 1 11: 18 17 13 1 1 11: 19 41 37 1 1 11: 20 83 79 1 1 11: 21 83 79 1 1 11: 22 5 3 1 1 11: 23 5 3 1 1 11: 24 353 349 1 1 11: 25 71 67 1 1 11: 26 7 5 1 1 11: 27 197 193 1 1 11: 28 5 3 1 1 11: 29 5 3 1 1 11: 30 5 3 1 1 12: 1 41 2 1 1 12: 2 23 2 1 1 12: 3 17 2 1 1 12: 4 19 7 1 1 12: 5 11 2 1 1 12: 6 19 11 1 1 12: 7 53 41 1 1 12: 8 37 29 1 1 12: 9 13 7 1 1 12: 10 13 7 1 1 12: 11 17 11 1 1 12: 12 7 3 1 1 12: 13 7 3 1 1 12: 14 7 3 1 1 12: 15 53 47 1 1 12: 16 17 13 1 1 12: 17 5 2 1 1 12: 18 23 19 1 1 12: 19 5 2 1 1 12: 20 107 103 1 1 12: 21 41 37 1 1 12: 22 239 233 1 1 12: 23 83 79 1 1 12: 24 41 37 1 1 12: 25 107 103 1 1 12: 26 47 43 1 1 12: 27 83 79 1 1 12: 28 107 103 1 1 12: 29 7 5 1 1 12: 30 107 103 1 1 13: 1 43 2 1 1 13: 2 29 3 1 1 13: 3 19 2 1 1 13: 4 19 5 1 1 13: 5 19 7 1 1 13: 6 11 2 1 1 13: 7 11 3 1 1 13: 8 19 11 1 1 13: 9 31 23 1 1 13: 10 19 11 1 1 13: 11 7 2 1 1 13: 12 13 7 1 1 13: 13 17 11 1 1 13: 14 29 23 1 1 13: 15 7 3 1 1 13: 16 37 31 1 1 13: 17 103 97 1 1 13: 18 5 2 1 1 13: 19 17 13 1 1 13: 20 5 2 1 1 13: 21 17 13 1 1 13: 22 17 13 1 1 13: 23 101 97 1 1 13: 24 71 67 1 1 13: 25 47 43 1 1 13: 26 167 163 1 1 13: 27 113 109 1 1 13: 28 71 67 1 1 13: 29 107 103 1 1 13: 30 101 97 1 1 14: 1 47 2 1 1 14: 2 29 2 1 1 14: 3 37 17 1 1 14: 4 17 3 1 1 14: 5 13 2 1 1 14: 6 13 3 1 1 14: 7 29 19 1 1 14: 8 11 3 1 1 14: 9 19 11 1 1 14: 10 11 5 1 1 14: 11 11 5 1 1 14: 12 7 2 1 1 14: 13 19 13 1 1 14: 14 19 13 1 1 14: 15 23 17 1 1 14: 16 7 3 1 1 14: 17 17 13 1 1 14: 18 7 3 1 1 14: 19 11 7 1 1 14: 20 199 193 1 1 14: 21 5 2 1 1 14: 22 47 43 1 1 14: 23 41 37 1 1 14: 24 23 19 1 1 14: 25 23 19 1 1 14: 26 23 19 1 1 14: 27 47 43 1 1 14: 28 101 97 1 1 14: 29 101 97 1 1 14: 30 47 43 1 1 15: 1 53 2 1 1 15: 2 31 3 1 1 15: 3 23 3 1 1 15: 4 17 2 1 1 15: 5 19 5 1 1 15: 6 23 11 1 1 15: 7 11 2 1 1 15: 8 13 5 1 1 15: 9 47 37 1 1 15: 10 101 89 1 1 15: 11 53 43 1 1 15: 12 11 5 1 1 15: 13 7 2 1 1 15: 14 17 11 1 1 15: 15 59 53 1 1 15: 16 23 17 1 1 15: 17 7 3 1 1 15: 18 11 7 1 1 15: 19 43 37 1 1 15: 20 73 67 1 1 15: 21 67 61 1 1 15: 22 5 2 1 1 15: 23 17 13 1 1 15: 24 5 2 1 1 15: 25 5 2 1 1 15: 26 83 79 1 1 15: 27 199 193 1 1 15: 28 41 37 1 1 15: 29 41 37 1 1 15: 30 41 37 1 1 16: 1 59 2 1 1 16: 2 31 2 1 1 16: 3 23 2 1 1 16: 4 19 3 1 1 16: 5 29 13 1 1 16: 6 13 2 1 1 16: 7 13 3 1 1 16: 8 17 7 1 1 16: 9 11 3 1 1 16: 10 13 5 1 1 16: 11 19 11 1 1 16: 12 107 97 1 1 16: 13 11 5 1 1 16: 14 7 2 1 1 16: 15 17 11 1 1 16: 16 19 13 1 1 16: 17 23 17 1 1 16: 18 43 37 1 1 16: 19 7 3 1 1 16: 20 59 53 1 1 16: 21 7 3 1 1 16: 22 23 19 1 1 16: 23 5 2 1 1 16: 24 101 97 1 1 16: 25 17 13 1 1 16: 26 5 2 1 1 16: 27 5 2 1 1 16: 28 197 193 1 1 16: 29 113 109 1 1 16: 30 71 67 1 1 17: 1 61 2 1 1 17: 2 37 5 1 1 17: 3 29 5 1 1 17: 4 19 2 1 1 17: 5 17 3 1 1 17: 6 19 7 1 1 17: 7 19 7 1 1 17: 8 11 2 1 1 17: 9 43 31 1 1 17: 10 41 31 1 1 17: 11 83 73 1 1 17: 12 19 11 1 1 17: 13 31 23 1 1 17: 14 11 5 1 1 17: 15 7 2 1 1 17: 16 13 7 1 1 17: 17 13 7 1 1 17: 18 17 11 1 1 17: 19 29 23 1 1 17: 20 7 3 1 1 17: 21 43 37 1 1 17: 22 11 7 1 1 17: 23 11 7 1 1 17: 24 11 7 1 1 17: 25 59 53 1 1 17: 26 17 13 1 1 17: 27 23 19 1 1 17: 28 47 43 1 1 17: 29 83 79 1 1 17: 30 83 79 1 1 18: 1 67 2 1 1 18: 2 37 3 1 1 18: 3 31 5 1 1 18: 4 43 19 1 1 18: 5 19 3 1 1 18: 6 47 31 1 1 18: 7 13 2 1 1 18: 8 13 3 1 1 18: 9 11 2 1 1 18: 10 47 37 1 1 18: 11 13 5 1 1 18: 12 53 43 1 1 18: 13 37 29 1 1 18: 14 31 23 1 1 18: 15 61 53 1 1 18: 16 7 2 1 1 18: 17 191 181 1 1 18: 18 23 17 1 1 18: 19 23 17 1 1 18: 20 29 23 1 1 18: 21 79 73 1 1 18: 22 7 3 1 1 18: 23 7 3 1 1 18: 24 59 53 1 1 18: 25 11 7 1 1 18: 26 157 151 1 1 18: 27 17 13 1 1 18: 28 5 2 1 1 18: 29 5 2 1 1 18: 30 5 2 1 1 19: 1 71 2 1 1 19: 2 37 2 1 1 19: 3 29 3 1 1 19: 4 23 3 1 1 19: 5 17 2 1 1 19: 6 17 3 1 1 19: 7 17 5 1 1 19: 8 23 11 1 1 19: 9 29 17 1 1 19: 10 11 3 1 1 19: 11 11 3 1 1 19: 12 13 5 1 1 19: 13 19 11 1 1 19: 14 83 73 1 1 19: 15 137 127 1 1 19: 16 89 79 1 1 19: 17 7 2 1 1 19: 18 7 2 1 1 19: 19 19 13 1 1 19: 20 137 131 1 1 19: 21 29 23 1 1 19: 22 19 13 1 1 19: 23 37 31 1 1 19: 24 7 3 1 1 19: 25 7 3 1 1 19: 26 11 7 1 1 19: 27 113 107 1 1 19: 28 11 7 1 1 19: 29 89 83 1 1 19: 30 89 83 1 1 20: 1 73 2 1 1 20: 2 41 2 1 1 20: 3 29 2 1 1 20: 4 23 2 1 1 20: 5 19 2 1 1 20: 6 19 5 1 1 20: 7 47 29 1 1 20: 8 17 5 1 1 20: 9 31 19 1 1 20: 10 17 7 1 1 20: 11 23 13 1 1 20: 12 29 19 1 1 20: 13 41 31 1 1 20: 14 19 11 1 1 20: 15 83 73 1 1 20: 16 67 59 1 1 20: 17 37 29 1 1 20: 18 173 163 1 1 20: 19 7 2 1 1 20: 20 19 13 1 1 20: 21 19 13 1 1 20: 22 47 41 1 1 20: 23 43 37 1 1 20: 24 113 107 1 1 20: 25 37 31 1 1 20: 26 47 41 1 1 20: 27 7 3 1 1 20: 28 79 73 1 1 20: 29 11 7 1 1 20: 30 11 7 1 2 1: 1 5 2 1 2 1: 2 13 5 1 2 1: 3 29 11 1 2 1: 4 7 2 1 2 1: 5 5 2 1 2 1: 6 13 5 1 2 1: 7 41 17 1 2 1: 8 97 43 1 2 1: 9 41 17 1 2 1: 10 13 5 1 2 1: 11 71 31 1 2 1: 12 7 3 1 2 1: 13 31 13 1 2 1: 14 5 2 1 2 1: 15 5 2 1 2 1: 16 71 31 1 2 1: 17 5 2 1 2 1: 18 43 19 1 2 1: 19 31 13 1 2 1: 20 5 2 1 2 1: 21 5 2 1 2 1: 22 5 2 1 2 1: 23 53 23 1 2 1: 24 17 7 1 2 1: 25 107 47 1 2 1: 26 5 2 1 2 1: 27 499 227 1 2 1: 28 53 23 1 2 1: 29 43 19 1 2 1: 30 5 2 1 2 2: 1 7 2 1 2 2: 2 7 2 1 2 2: 3 7 2 1 2 2: 4 29 11 1 2 2: 5 19 7 1 2 2: 6 71 29 1 2 2: 7 13 5 1 2 2: 8 41 17 1 2 2: 9 13 5 1 2 2: 10 41 17 1 2 2: 11 13 5 1 2 2: 12 13 5 1 2 2: 13 67 29 1 2 2: 14 389 173 1 2 2: 15 13 5 1 2 2: 16 13 5 1 2 2: 17 107 47 1 2 2: 18 5 2 1 2 2: 19 17 7 1 2 2: 20 179 79 1 2 2: 21 31 13 1 2 2: 22 17 7 1 2 2: 23 5 2 1 2 2: 24 71 31 1 2 2: 25 17 7 1 2 2: 26 151 67 1 2 2: 27 239 107 1 2 2: 28 5 2 1 2 2: 29 5 2 1 2 2: 30 53 23 1 2 3: 1 11 2 1 2 3: 2 13 3 1 2 3: 3 11 3 1 2 3: 4 17 5 1 2 3: 5 7 2 1 2 3: 6 7 2 1 2 3: 7 7 2 1 2 3: 8 13 5 1 2 3: 9 19 7 1 2 3: 10 7 2 1 2 3: 11 41 17 1 2 3: 12 19 7 1 2 3: 13 13 5 1 2 3: 14 41 17 1 2 3: 15 73 31 1 2 3: 16 41 17 1 2 3: 17 41 17 1 2 3: 18 13 5 1 2 3: 19 67 29 1 2 3: 20 227 101 1 2 3: 21 17 7 1 2 3: 22 13 5 1 2 3: 23 17 7 1 2 3: 24 53 23 1 2 3: 25 229 103 1 2 3: 26 31 13 1 2 3: 27 71 31 1 2 3: 28 17 7 1 2 3: 29 67 29 1 2 3: 30 97 43 1 2 4: 1 13 2 1 2 4: 2 11 2 1 2 4: 3 13 3 1 2 4: 4 11 3 1 2 4: 5 11 3 1 2 4: 6 11 3 1 2 4: 7 29 11 1 2 4: 8 7 2 1 2 4: 9 7 2 1 2 4: 10 19 7 1 2 4: 11 19 7 1 2 4: 12 73 31 1 2 4: 13 167 73 1 2 4: 14 13 5 1 2 4: 15 41 17 1 2 4: 16 19 7 1 2 4: 17 233 103 1 2 4: 18 239 107 1 2 4: 19 109 47 1 2 4: 20 31 13 1 2 4: 21 13 5 1 2 4: 22 229 103 1 2 4: 23 71 31 1 2 4: 24 13 5 1 2 4: 25 199 89 1 2 4: 26 53 23 1 2 4: 27 17 7 1 2 4: 28 13 5 1 2 4: 29 251 113 1 2 4: 30 31 13 1 2 5: 1 17 2 1 2 5: 2 13 2 1 2 5: 3 11 2 1 2 5: 4 13 3 1 2 5: 5 17 5 1 2 5: 6 37 13 1 2 5: 7 11 3 1 2 5: 8 11 3 1 2 5: 9 29 11 1 2 5: 10 31 11 1 2 5: 11 7 2 1 2 5: 12 7 2 1 2 5: 13 19 7 1 2 5: 14 163 71 1 2 5: 15 499 223 1 2 5: 16 109 47 1 2 5: 17 31 13 1 2 5: 18 109 47 1 2 5: 19 13 5 1 2 5: 20 13 5 1 2 5: 21 151 67 1 2 5: 22 307 137 1 2 5: 23 227 101 1 2 5: 24 229 101 1 2 5: 25 31 13 1 2 5: 26 67 29 1 2 5: 27 31 13 1 2 5: 28 67 29 1 2 5: 29 199 89 1 2 5: 30 17 7 1 2 6: 1 19 2 1 2 6: 2 19 3 1 2 6: 3 13 2 1 2 6: 4 11 2 1 2 6: 5 13 3 1 2 6: 6 17 5 1 2 6: 7 47 17 1 2 6: 8 73 29 1 2 6: 9 113 47 1 2 6: 10 233 101 1 2 6: 11 29 11 1 2 6: 12 191 83 1 2 6: 13 7 2 1 2 6: 14 19 7 1 2 6: 15 101 43 1 2 6: 16 97 41 1 2 6: 17 19 7 1 2 6: 18 41 17 1 2 6: 19 151 67 1 2 6: 20 139 61 1 2 6: 21 73 31 1 2 6: 22 41 17 1 2 6: 23 41 17 1 2 6: 24 139 61 1 2 6: 25 13 5 1 2 6: 26 13 5 1 2 6: 27 13 5 1 2 6: 28 31 13 1 2 6: 29 13 5 1 2 6: 30 1499 691 1 2 7: 1 23 2 1 2 7: 2 17 2 1 2 7: 3 17 3 1 2 7: 4 13 2 1 2 7: 5 67 23 1 2 7: 6 13 3 1 2 7: 7 23 7 1 2 7: 8 31 11 1 2 7: 9 11 3 1 2 7: 10 47 19 1 2 7: 11 43 17 1 2 7: 12 89 37 1 2 7: 13 89 37 1 2 7: 14 7 2 1 2 7: 15 7 2 1 2 7: 16 7 2 1 2 7: 17 43 17 1 2 7: 18 353 157 1 2 7: 19 73 31 1 2 7: 20 19 7 1 2 7: 21 41 17 1 2 7: 22 311 139 1 2 7: 23 331 149 1 2 7: 24 373 167 1 2 7: 25 67 29 1 2 7: 26 101 43 1 2 7: 27 73 31 1 2 7: 28 41 17 1 2 7: 29 41 17 1 2 7: 30 13 5 1 2 8: 1 29 2 1 2 8: 2 19 2 1 2 8: 3 19 3 1 2 8: 4 23 5 1 2 8: 5 11 2 1 2 8: 6 11 2 1 2 8: 7 13 3 1 2 8: 8 17 5 1 2 8: 9 17 5 1 2 8: 10 89 37 1 2 8: 11 11 3 1 2 8: 12 71 29 1 2 8: 13 43 17 1 2 8: 14 43 17 1 2 8: 15 29 11 1 2 8: 16 43 17 1 2 8: 17 7 2 1 2 8: 18 7 2 1 2 8: 19 7 2 1 2 8: 20 101 43 1 2 8: 21 7 2 1 2 8: 22 7 2 1 2 8: 23 109 47 1 2 8: 24 41 17 1 2 8: 25 41 17 1 2 8: 26 307 137 1 2 8: 27 107 47 1 2 8: 28 643 293 1 2 8: 29 349 157 1 2 8: 30 107 47 1 2 9: 1 31 2 1 2 9: 2 37 7 1 2 9: 3 17 2 1 2 9: 4 17 3 1 2 9: 5 79 29 1 2 9: 6 109 43 1 2 9: 7 11 2 1 2 9: 8 13 3 1 2 9: 9 31 11 1 2 9: 10 11 3 1 2 9: 11 113 47 1 2 9: 12 31 11 1 2 9: 13 71 29 1 2 9: 14 71 29 1 2 9: 15 43 17 1 2 9: 16 47 19 1 2 9: 17 71 29 1 2 9: 18 103 43 1 2 9: 19 29 11 1 2 9: 20 47 19 1 2 9: 21 229 101 1 2 9: 22 29 11 1 2 9: 23 7 2 1 2 9: 24 7 2 1 2 9: 25 101 43 1 2 9: 26 41 17 1 2 9: 27 41 17 1 2 9: 28 73 31 1 2 9: 29 19 7 1 2 9: 30 199 89 1 2 10: 1 37 2 1 2 10: 2 23 2 1 2 10: 3 19 2 1 2 10: 4 41 11 1 2 10: 5 13 2 1 2 10: 6 19 5 1 2 10: 7 19 5 1 2 10: 8 23 7 1 2 10: 9 23 7 1 2 10: 10 199 83 1 2 10: 11 17 5 1 2 10: 12 11 3 1 2 10: 13 11 3 1 2 10: 14 11 3 1 2 10: 15 11 3 1 2 10: 16 11 3 1 2 10: 17 29 11 1 2 10: 18 47 19 1 2 10: 19 47 19 1 2 10: 20 7 2 1 2 10: 21 19 7 1 2 10: 22 137 59 1 2 10: 23 19 7 1 2 10: 24 401 179 1 2 10: 25 7 2 1 2 10: 26 19 7 1 2 10: 27 7 2 1 2 10: 28 251 113 1 2 10: 29 109 47 1 2 10: 30 331 149 1 2 11: 1 41 2 1 2 11: 2 43 7 1 2 11: 3 23 3 1 2 11: 4 17 2 1 2 11: 5 17 3 1 2 11: 6 13 2 1 2 11: 7 109 43 1 2 11: 8 11 2 1 2 11: 9 11 2 1 2 11: 10 13 3 1 2 11: 11 37 13 1 2 11: 12 47 17 1 2 11: 13 17 5 1 2 11: 14 59 23 1 2 11: 15 71 29 1 2 11: 16 103 43 1 2 11: 17 191 83 1 2 11: 18 97 41 1 2 11: 19 89 37 1 2 11: 20 71 29 1 2 11: 21 29 11 1 2 11: 22 101 43 1 2 11: 23 97 41 1 2 11: 24 313 139 1 2 11: 25 19 7 1 2 11: 26 29 11 1 2 11: 27 47 19 1 2 11: 28 19 7 1 2 11: 29 73 31 1 2 11: 30 73 31 1 2 12: 1 43 2 1 2 12: 2 29 2 1 2 12: 3 31 5 1 2 12: 4 29 7 1 2 12: 5 19 3 1 2 12: 6 17 3 1 2 12: 7 13 2 1 2 12: 8 19 5 1 2 12: 9 13 3 1 2 12: 10 19 5 1 2 12: 11 13 3 1 2 12: 12 17 5 1 2 12: 13 167 71 1 2 12: 14 31 11 1 2 12: 15 17 5 1 2 12: 16 73 29 1 2 12: 17 11 3 1 2 12: 18 31 11 1 2 12: 19 367 163 1 2 12: 20 29 11 1 2 12: 21 43 17 1 2 12: 22 43 17 1 2 12: 23 43 17 1 2 12: 24 97 41 1 2 12: 25 29 11 1 2 12: 26 7 2 1 2 12: 27 743 337 1 2 12: 28 7 2 1 2 12: 29 167 73 1 2 12: 30 7 2 1 2 13: 1 47 2 1 2 13: 2 37 5 1 2 13: 3 23 2 1 2 13: 4 19 2 1 2 13: 5 103 37 1 2 13: 6 23 5 1 2 13: 7 37 11 1 2 13: 8 97 37 1 2 13: 9 41 13 1 2 13: 10 11 2 1 2 13: 11 47 17 1 2 13: 12 61 23 1 2 13: 13 73 29 1 2 13: 14 17 5 1 2 13: 15 37 13 1 2 13: 16 113 47 1 2 13: 17 311 137 1 2 13: 18 11 3 1 2 13: 19 311 139 1 2 13: 20 11 3 1 2 13: 21 317 139 1 2 13: 22 97 41 1 2 13: 23 29 11 1 2 13: 24 29 11 1 2 13: 25 163 71 1 2 13: 26 109 47 1 2 13: 27 19 7 1 2 13: 28 373 167 1 2 13: 29 313 139 1 2 13: 30 373 167 1 2 14: 1 53 2 1 2 14: 2 31 2 1 2 14: 3 41 7 1 2 14: 4 23 3 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