What was done with left and right truncatable semiprimes can also be done with triprimes. The very first triprime is 8 = 2 x 2 x 2 and, by adding suitable digits to the LEFT, we get (permalink):
Triprime | Factorisation --------------------------------------------- 8 | 2 * 2 * 2 18 | 2 * 3 * 3 318 | 2 * 3 * 53 2318 | 2 * 19 * 61 12318 | 2 * 3 * 2053 112318 | 2 * 89 * 631 6112318 | 2 * 101 * 30259 16112318 | 2 * 53 * 152003 216112318 | 2 * 7687 * 14057 4216112318 | 2 * 11 * 191641469 24216112318 | 2 * 73 * 165863783 124216112318 | 2 * 19 * 3268845061 5124216112318 | 2 * 3203 * 799908853 25124216112318 | 2 * 3 * 4187369352053 225124216112318 | 2 * 431 * 261164983889 2225124216112318 | 2 * 193 * 5764570508063
Next we have 12 = 2 x 2 x 3 which gives (permalink):
Triprime | Factorisation --------------------------------------------- 12 | 2 * 2 * 3 212 | 2 * 2 * 53 5212 | 2 * 2 * 1303 15212 | 2 * 2 * 3803 315212 | 2 * 2 * 78803 2315212 | 2 * 2 * 578803
The next triprime (18) gives the same chain as did 8.
Let's try adding digits to the RIGHT this time. Starting with 8 we don't get very far as no digit when adding to the right of 8 will produce a triprime. However, with 12 we have more success (permalink):
Triprime | Factorisation --------------------------------------------- 12 | 2 * 2 * 3 124 | 2 * 2 * 31 1244 | 2 * 2 * 311 12445 | 5 * 19 * 131 124453 | 7 * 23 * 773 1244534 | 2 * 349 * 1783 12445341 | 3 * 167 * 24841 124453414 | 2 * 23 * 2705509 1244534143 | 19 * 19 * 3447463 12445341431 | 769 * 2053 * 7883 124453414317 | 3 * 23789 * 1743851 1244534143173 | 3 * 31 * 13382087561 12445341431731 | 13 * 887 * 1079294201
The next triprime (18) produces this chain (permalink):
Triprime | Factorisation --------------------------------------------- 18 | 2 * 3 * 3 182 | 2 * 7 * 13 1825 | 5 * 5 * 73 18255 | 3 * 5 * 1217 182553 | 3 * 7 * 8693 1825534 | 2 * 227 * 4021 18255345 | 3 * 5 * 1217023 182553451 | 31 * 331 * 17791 1825534511 | 17 * 967 * 111049 18255345115 | 5 * 7 * 521581289 182553451151 | 17 * 5147 * 2086349 1825534511511 | 3 * 53 * 11481349129
Triprime | Factorisation --------------------------------------------- 28282 | 2 * 79 * 179 282821 | 7 * 11 * 3673 2828211 | 3 * 619 * 1523 28282113 | 3 * 3 * 3142457 282821134 | 2 * 5099 * 27733 2828211341 | 17 * 29 * 5736737 28282113411 | 3 * 32621 * 288997 282821134111 | 43 * 563 * 11682479 2828211341111 | 13 * 26591 * 8181517 28282113411116 | 2 * 2 * 7070528352779 282821134111163 | 59 * 1307821 * 3665317
So the program is working well.
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