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(another Prime Pages' Curiosity)
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Combine two digits of a number in order (from right to left) alternating them with + then -. If the result is 0 or a multiple of 101, the prime number 101 divides it. E.g., Is 575519513 divisible by 101? 13 - 95 + 51 - 75 + 05 = -101. Yes! [Luhn]

 

  Submitted: 2002-02-15 05:17:40;   Last Modified: 2008-01-30 11:28:00.



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