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If p is a prime number, then p^6 - 1 is always divisible by:

 

(a) 3*4*5

(b) 4*5*6

(c) 5*6*7

(d) 7*8*9

(e) 9*10*1

 

Which option is correct?

 May 20, 2020
 #1
avatar+21951 
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Question:  If  p  is a prime number, then  p6 - 1  is always divisible by:

    (a) 3*4*5

    (b) 4*5*6

    (c) 5*6*7

    (d) 7*8*9

    (e) 9*10*1

2 is a prime number, so:     p6 - 1  = 26 - 1 = 64 - 1  =  63  =  9 x 7  or  3 x 3 x 7

which doesn't fit any of the options given.

 May 20, 2020
 #2
avatar+93 
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I agree with geno

NightShade  May 20, 2020

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