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# Number Theory

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Find the smallest positive integer that is one less than a number that is a multiple of each of $$3, 5, 7, 9, 11, \ \text{and} \ 13$$.

Jan 14, 2022

#1
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If you want to find an integer that is a multiple of 5, 7 9, 11, and 13, multiply them together:  45045.

(You can skip 3, because any multiply of 9 will be a multiple of 3.)

Subtracting 1:  45044.

Jan 14, 2022
#2
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9*5*7*11*13=45045

45045-1=45044

Jan 14, 2022
#3
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geno did it 2 minutes before me lel :)

Jan 14, 2022