How many of the 100 smallest positive integers are congruent to 1 modulo 5?

Sun, 03 May 2026 12:08:01 +0000

**How Many of the 100 Smallest Positive Integers Are Congruent to 1 Modulo 5?** A simple question about number patterns is sparking quiet interest among US learners: *How many of the 100 smallest positive integers are congruent to 1 modulo 5?* At first glance, it seems like a basic arithmetic puzzle—but beneath the surface lies a rich opportunity to understand modular math, number theory, and why such patterns quietly shape data, patterns, and even digital experiences. This question isn’t just academic. Modular congruence governs how data cycles, schedules repeat, and systems align—key ideas behind software logic, calendar design, and password systems. For curious users exploring math, education, or digital literacy, this exercise offers a tight, accessible entry point to deeper patterns. ### Why This Question Is Worth Exploring