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(just those submitted by Tryczak)
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+ 419 is the smallest number which when divided by 2, 3, 4, 5, 6 and 7 leaves remainders of 1, 2, 3, 4, 5 and 6 respectively. It is also interesting to note that 419 is one less than the least common multiple of the first 7 integers. [Tryczak]




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