If a, a+2 and a+4 are prime numbers, then the number of possible solutions for a is,
a. one
b. two
c. three
d. more than three
Correct option is A)
a,(a+2),(a+4) are prime numbers
⇒ difference between (consecutive) these no is 2
Prime no are 2,3,5,7,11,.....
∴ put a=3 yields
a set of prime numbers 3,5,7 having a consecutive difference
of ′2′-
& this is only one solution.
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