Usually means: Puzzle where numbers replace letters.
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We found 5 dictionaries that define the word cryptarithm:

General (4 matching dictionaries)
  1. cryptarithm: Merriam-Webster
  2. cryptarithm: Collins English Dictionary
  3. cryptarithm: Wiktionary
  4. Cryptarithm: Wikipedia, the Free Encyclopedia

Science (1 matching dictionary)
  1. Cryptarithm: Eric Weisstein's World of Mathematics

Definitions from Wiktionary (cryptarithm)

noun:  Synonym of alphametic (“type of puzzle”)

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