#1786 · Number Theory · Modular arithmetic

Smallest integers with given remainders

Find the two smallest integers which divided by 3, 7, 11 leave remainders 1, 6, 5 respectively.

~8 minAnswer checked instantlyChinese remainder theoremModular arithmetic

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXVI. Indeterminate Equations of the First Degree, Examples XXVI, No. 16

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Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).