Home >> NUMBER THEORY >> q7-definition

Q7 DEFINITION

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.

Write Here

Video Explanation

Share the solution with your mates: