Cab and Vampire Numbers
摘要
The Cab numbers mentioned by Henry E. Dudeney in his book, Amusements in Mathematics, like 8745231 × 96 = 839542176, and the vampire numbers, like 1260 = 21 × 60 or 12417993 = 1317 × 9429 = 1347 × 9219, are discussed in detail. Based on some properties of Cab numbers, the methodology for computing n-digit Cab numbers for 2 < n < 10 is explained. The listing of all Cab numbers up to six digits along with the distribution of higher-digit Cab numbers is given in the chapter. Special vampire numbers such as pseudo vampires, palindromic vampires, square vampires, and prime vampire numbers are also covered in the chapter.