Wednesday, 31 December 2014

arithmetic - Longest word worth at most a million



An old and popular puzzle, recently revived on Twitter by Alex Bellos, Chris Smith, and others, asks to take the first 26 primes, relate each to letters of the alphabet (A = 2, B = 3, C = 5, ..., Y = 97, Z = 101), and use this code to find the (legitimate) English word that comes closest to a million, where the word's numeric value is given by the product of its letters. CAB is thus valued 5x2x3=30.


With the same code, what is the longest English word valued at most a million?




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