Let a, b, c, d are all prime numbers, and they meet the following guidelines: a>3b>6c>12d and a^2-b^2+c^2-d^2=1749 Please determine all the possible values of a^2+b^2+c^2+d^2.

I got that d=2 but that's about it.

yasbib555 Jan 29, 2019

#1**+1 **

**One scenario could be as follows:**

**43^2 - 11^2 + 5^2 - 2^2 = 1749**

**Here is another way:**

**59^2 - 43^2 + 11^2 - 2^2 = 1749 {This does not meet the condition: a>3b>6c>12d}**

**Note: Simply by trial and error.**

Guest Jan 29, 2019

edited by
Guest
Jan 29, 2019

edited by Guest Jan 29, 2019

edited by Guest Jan 29, 2019

#3**+8 **

**Let a, b, c, d are all prime numbers, and they meet the following guidelines: a>3b>6c>12d and a^2-b^2+c^2-d^2=1749 **

**Please determine all the possible values of a^2+b^2+c^2+d^2.**

**I got that d=2 but that's about it. **

see: https://answers.yahoo.com/question/index?qid=20190129142548AAZETxJ&guccounter=1

heureka Jan 30, 2019