How many of the first 100 positive integers are congruent to 3 (mod 7)?

Mon, 04 May 2026 05:30:29 +0000

Title: How Many of the First 100 Positive Integers Are Congruent to 3 (mod 7)? Understanding number modular arithmetic can reveal fascinating patterns—one interesting question is: How many of the first 100 positive integers are congruent to 3 modulo 7? This seemingly simple inquiry uncovers how evenly integers spread across residue classes and highlights the predictable patterns in modular systems. --- ### What Does “Congruent to 3 mod 7” Mean?