Simple Problem #01
Number Theory
Level
1
Can any sum of three consecutive positive numbers be a prime number?
This is part of my simple problems set .
Yes
No
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1 solution
n + ( n + 1 ) + ( n + 2 ) = 3 n + 3 = 3 ( n + 1 )
As the result is a multiple by 3, it cannot be a prime number.