Hosted by The Math Forum## Problem of the Week 1053## Triskaidekaphobics Beware
How many consecutive positive integers can you find so that none of the digit-sums (base 10) are divisible by 13? Note: Because 49 is the first integer whose digit-sum is divisible by 13, the 48 integers from 1 to 48 meet the condition.
Source: Problem A248 © Copyright 2006 Stan Wagon. Reproduced with permission. |

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29 March 2006