Prime Curios!: 46

46
(another Prime Pages' Curiosity)

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The 46th prime is 199. Let C = the number of combinations of a group of 199 objects taken 46 at a time. Note that 199!/[46!(199-46)!] has 46 digits and C ± 1 are both primes! [Hartley]

Submitted: 2003-01-03 20:33:43; Last Modified: 2008-01-30 11:28:00.