#1785 · Number Theory · Modular arithmetic

General form of remainders

Find the general form of all positive integers which divided by 5, 7, 8 leave remainders 3, 2, 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. 15

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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).