let a,b,c be positive whole numbers. Where a>c. If both a-b and c-b are prime. and a+c = 2019. What is the greatest value of b
The greatest value of b is 1992.
a + c =1010 + 1009 = 2019 and a > c
a - b=1010 - 1007 = 3 - is a prime
c - b=1009 - 1007 =2 - is a prime
The largest b in this solution =1007