Which of the following numbers is NOT prime?

6! - 1

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6! - 21

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6! + 41

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7! - 1

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7! + 11

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Solution

The correct option is C 6! - 21
Finding value of the given options:
A) 6! - 1 = 720 - 1 = 719 PRIME
B) 6! - 21 = 720 - 21 = 699 ( $3 \times 233$ ) Not a prime
C) 6! + 41 = 720 + 41 = 761 PRIME
D) 7! - 1 = 5040 - 1 = 5039 PRIME
E) 7! + 11 = 5040 + 11 = 5051 PRIME.

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