Prime Curios!: 37

37
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If a multidigit number (4 or more digits)is taken in groups of three (from the least significant group) and these are summed (repeatedly, if necessary) to produce a three-digit number which is divisible by 37, then the original number is also divisible by 37. [Fellows]

Submitted: 2003-05-14 14:50:31; Last Modified: 2009-04-03 20:12:10.