If a,a+2,a+4 are prime numbers, then the number of possible
solutions for a is:

(1) one (2) two (3) three (4)
more than three

Solution follows here:

__Solution:__
Prime numbers start from
2. Except 2, no other prime number is even. So we need to consider three
consecutive odd numbers here.

The only possible triad
is 3,5,7. Excepting this case, one number out of any three consecutive odd
numbers is a multiple of three and hence won’t be a prime.

**Answer (1)**
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