As one looks for the larger vampire numbers, their numbers increase. This can lead to some ambiguity as to the correct number of true vampire numbers. After writing programs to generate lists of all possible vampire number candidates, and then sifting those lists with other computer programs to search for multiple zero progenitors, and virtual twins (other factors producing the same vampire number) I have arrived at the following definitive details.
Summary of vampire number details | ||||
Digits in Vampire Number | Total Number of Candidates | Number of numbers disqualified due to duplicate zeros in progenitors. | Number of numbers disqualified due to being virtual twins. | Total Number of TRUE vampire numbers. |
4 | 7 | 0 | 0 | 7 |
6 | 156 | 7 | 1 | 148 |
8 | 3,399 | 156 | 15 | 3,228 |
10 | 112,024 | 3,399 | 48 | 108,577 |
Computer Programs | Source Code |
Vampires 4 Digits.exe - Generates the 4 digit vampire numbers. | Vampires 4 Digits.frm - Visual Basic source code |
Vampires 6 Digits.exe - Generates the 6 digit vampire numbers. | Vampires 6 Digits.frm - Visual Basic source code |
Vampires 8 Digits.exe - Generates the 8 digit vampire numbers. | Vampires 8 Digits.frm - Visual Basic source code |
Vampires 10 Digits.exe - Generates the 10 digit vampire numbers. | Vampires 10 Digits.frm - Visual Basic source code |