a,b and c are different prime numbers work out a set of values for a,b and c so that a+b=2c

Question

work out a set of values for a,b and c so that a+b=2c

Answer 1

A prime number has factors of only 1 and itself.

 

Starting small, you could use:

  a     b     c

  3    7    5
  3    11    7
  3    19    11
  3    23    13

. . .

  29    5    17
  29    17    23
  29    53    41
  29    89    59
  29    113    71

. . .

 997    769    883
 997    877    937
 997    937    967

 

Note:  There are 3000 such unique triples using the Primes less than 1000 (168 such primes).

  See --  https://en.wikipedia.org/wiki/Prime_number

Answer 2

 

Let a = 3

      b = 11

      c = 7

 

      a + b = 2(c)

      3 + 11 = 2(7)

      14 = 14