Four whole numbers - a, b, c and d are
such that -
1. ( a + b + c + d ) is a perfect square
2. ( a + b ), ( a + c ), ( a + d ), ( b + c ) , ( b + d ) and ( c + d ) are also each a perfect square.
what are the smallest values for a, b, c and d ?

• a = 10430,
  b = 3970,
  c = 2114,
  d = 386
  a + b = 14400 = 120^2
  a + c = 12544 = 112^2
  a + d = 10816 = 104^2
  b + c = 6084 = 78^2
  b + d = 4356 = 66^2
  c + d = 2500 = 50^2
  a + b + c + d = 16900 = 130^2
  
• 13 years agoHelpfull: Yes(0) No(6)