What are some other printer error numbers? What are the smallest printer errors in other bases? Are there any close misses? What if repeated exponentiation is allowed?
Here is a list of all the known printer's errors in base 10 with no more than 20 digits. (A zero in parentheses indicates that any number remains a printer's error if any number of zeroes are appended to the number)
| Printer Error | Digits | Author | ||||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 25 92 | 4 | H. E. Dudeney | ||||||||||||||||||||||||||||||||||||||
| 34 425(0) | 5 | D. L. Vanderpool | ||||||||||||||||||||||||||||||||||||||
| 312 325(0) | 6 | D. L. Vanderpool | ||||||||||||||||||||||||||||||||||||||
| 492 205(0) | B. J. van der Zwaag | |||||||||||||||||||||||||||||||||||||||
| 34 72 875(0) | 7 | B. J. van der Zwaag | ||||||||||||||||||||||||||||||||||||||
| 10 74 4475(0) | 8 | B. J. van der Zwaag | ||||||||||||||||||||||||||||||||||||||
| 13 74 5725(0) | B. J. van der Zwaag | |||||||||||||||||||||||||||||||||||||||
| 13 94 2125(0) | B. J. van der Zwaag | |||||||||||||||||||||||||||||||||||||||
| 16 74 6975(0) | B. J. van der Zwaag | |||||||||||||||||||||||||||||||||||||||
| 19 74 8225(0) | B. J. van der Zwaag | |||||||||||||||||||||||||||||||||||||||
89 69 14944| 9 | E. Friedman
| 90 69 92640 | E. Friedman
| 152 76 72 265(0) | 10 | E. Friedman
| 1 73 7 72375(0) | E. Friedman
| 1 7 73 73875(0) | E. Friedman
| 41850 97 875(0) | E. Friedman
| 11745 78 20375(0) | 12 | E. Friedman
| 15348 78 26625(0) | E. Friedman
| 18951 78 32875(0) | E. Friedman
| 113 320 4930 325(0) | 13 | E. Friedman
| 13287635 712 96(0) | E. Friedman
| 1653 7 77 286875(0) | E. Friedman
| 185638 98 43125(0) | E. Friedman
| 111 18 1211 331 11046 | 17 | E. Friedman
| 10 1 916 1103868512 55(0) | 18 | E. Friedman
| 1844674407370955 1616 | 20 | E. Friedman
| 30 720 22524580620 385(0) | E. Friedman
| |
And here is a list of some small printer's errors in other bases, due to Berend Jan van der Zwaag.
| Base | Printer's Errors |
|---|---|
| 2 | 11110 101(0), 1111 1000110, 111100 11110 1101(0) |
| 3 | 2210 21 2(0), 1122 2211 22(0), 111 101 100110 |
| 4 | 132 22(0), 121 2012, 132 132 31(0) |
| 6 | 24, 112 53(0), 252 21(0) |
| 7 | 113 46 5(0) |
| 8 | 33, 132 6(0), 114 70 6(0) |
| 9 | 73 82 22(0) |
| 11 | 35 18(0) |
| 12 | 34 6(0), 252 5(0), 132 99(0) |
| 13 | 15 84 A(0) |
| 16 | 13 38 C(0) |
| 17 | 20 A4 |
| 18 | 26 C(0), 53 D9(0), 1D2 A9(0) |
| 20 | 34 G(0), 74 14(0), 132 HA(0) |
If you can extend any of these results, please
e-mail me.
Click here to go back to Math Magic. Last updated 6/16/07.