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The multiples of 7 from 1 to 10000 can be found by multiplying 7 by each integer starting from 1 up to the largest integer that, when multiplied by 7, does not exceed 10000. This can be calculated by dividing 10000 by 7, which equals approximately 1428.57. Therefore, the multiples of 7 from 1 to 10000 are 7, 14, 21, 28, ..., 9993, 10000.

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This is easiest to answer by summing all the numbers 1-10000 and subtracting the sum of the multiples of 7 (7, 14, 21, ..., 9996). The sum of a series is: S = (first + last) x number_of_terms / 2 For for 1-10000, the sum is: S1 = (1 + 10000) x 10000 / 2 = 10001 x 5000 = 50005000 For the multiples of 7 the sum is: S2 = (7 + 9996) x 1428 / 2 = 10003 x 714 = 7142142 So the sum of all integers not greater than 10000 that are not divisible by 7 is: S = S1 - S2 = 50005000 - 7142142 = 42,862,858


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