Divisor 6599

Prime Number:
Yes!
Divisibility test:
The "James Mayr Test"
Test Discovered by:
Matt Parker
Date:
11/11/2024

The "James Mayr Test" for Divisibility by 6599

To determine if any number is divisible by 6599, apply the "James Mayr Test":

  1. If your number ("X") has 10 digits or more, separate the last (smallest) 9 digits from the rest. This makes two smaller numbers, call them Left and Right (note: don't add in trailing zeros to L). If there are fewer than 10 digits, L = 0 and therefore R = X.
  2. Multiply L by 738 and add to R.
  3. Take that result and cross off its final digit (units). Take this new number and add 660 times the digit you just crossed off. Call this final result "Y".
  4. Y will be much smaller than X, but we have preserved divisibility by 6599. That is, your original number is divisible by 6599 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 6599-times tables, it should be easy to visually see if Y is divisible by 6599. If the Y is still much larger than 6599, the above process can be repeated until it does reduce to within small multiples of 6599.

Easy!