Usually means: Prime number among factorials' neighbors.
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We found 4 dictionaries that define the word factorial prime:

General (2 matching dictionaries)
  1. factorial prime: Wiktionary
  2. Factorial prime: Wikipedia, the Free Encyclopedia

Science (2 matching dictionaries)
  1. Factorial Prime: Eric Weisstein's World of Mathematics
  2. factorial prime: PlanetMath Encyclopedia

Definitions from Wiktionary (factorial prime)

noun:  (mathematics) A prime number that is one more or one less than a factorial. For example, 7 is a factorial prime, since 3! + 1 = 7.

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