The first and possibly the second when counting distinct prime factors::89460294 = 2 × 3 × 7 × 11 × 23 × 8419:89460295 = 5 × 4201 × 4259:89460296 = 2 × 2 × 2 × 31 × 43 × 8389:and 2 + 3 + 7 + 11 + 23 + 8419 = 5 + 4201 + 4259 = 2 + 31 + 43 + 8389 = 8465:151165960539 = 3 × 11 × 11 × 83 × 2081 × 2411:151165960540 = 2 × 2 × 5 × 7 × 293 × 1193 × 3089:151165960541 = 23 × 29 × 157 × 359 × 4021:and 3 + 11 + 83 + 2081 + 2411 = 2 + 5 + 7 + 293 + 1193 + 3089 = 23 + 29 + 157 + 359 + 4021 = 4589The first two Ruth–Aaron triplets when counting repeated prime factors::417162 = 2 × 3 × 251 × 277:417163 = 17 × 53 × 463:417164 = 2 × 2 × 11 × 19 × 499:and 2 + 3 + 251 + 277 = 17 + 53 + 463 = 2 + 2 + 11 + 19 + 499 = 533:6913943284 = 2 × 2 × 37 × 89 × 101 × 5197:6913943285 = 5 × 283 × 1259 × 3881:6913943286 = 2 × 3 × 167 × 2549 × 2707:and 2 + 2 + 37 + 89 + 101 + 5197 = 5 + 283 + 1259 + 3881 = 2 + 3 + 167 + 2549 + 2707 = 5428==References==* "Ruth–Aaron Triplets" and "Ruth–Aaron pairs revisited".
Если учитывать только различные делители, то первый и, наверно, второй триплеты — это: 89460294 = 2 × 3 × 7 × 11 × 23 × 8419: 89460295 = 5 × 4201 × 4259: 89460296 = 2 × 2 × 2 × 31 × 43 × 8389: и 2 + 3 + 7 + 11 + 23 + 8419 = 5 + 4201 + 4259 = 2 + 31 + 43 + 8389 = 8465: 151165960539 = 3 × 11 × 11 × 83 × 2081 × 2411: 151165960540 = 2 × 2 × 5 × 7 × 293 × 1193 × 3089: 151165960541 = 23 × 29 × 157 × 359 × 4021: и 3 + 11 + 83 + 2081 + 2411 = 2 + 5 + 7 + 293 + 1193 + 3089 = 23 + 29 + 157 + 359 + 4021 = 4589: 417162 = 2 × 3 × 251 × 277: 417163 = 17 × 53 × 463: 417164 = 2 × 2 × 11 × 19 × 499: и 2 + 3 + 251 + 277 = 17 + 53 + 463 = 2 + 2 + 11 + 19 + 499 = 533: 6913943284 = 2 × 2 × 37 × 89 × 101 × 5197: 6913943285 = 5 × 283 × 1259 × 3881: 6913943286 = 2 × 3 × 167 × 2549 × 2707: и 2 + 2 + 37 + 89 + 101 + 5197 = 5 + 283 + 1259 + 3881 = 2 + 3 + 167 + 2549 + 2707 = 5428По состоянию на 2006 год известны только эти четыре триплета.