with respect to a modulus: 6 is congruent to 11, modulo 5.
Origin of modulo
1895–1900; < New Latin modulō, ablative of Latin modulus modulus
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
With respect to a specified modulus. Eighteen is congruent to 42 modulo 12 because both 18 and 42 leave 6 as remainder when divided by 12.
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