Therefore, there are 14 integers in the first 100 positive integers that are congruent to 3 modulo 7.

Tue, 21 Apr 2026 09:34:08 +0000

**Why Curious US Readers Are Noticing This Surprising Number: There Are 14 Integers Congruent to 3 Modulo 7** Ever wondered why that simple number fact—there are 14 integers within the first 100 positive numbers congruent to 3 modulo 7—is gaining quiet traction in US digital conversations? It might seem like a niche puzzle, but this pattern reveals deeper connections to modular arithmetic, number theory, and how curiosity thrives online. Therefore, there are 14 integers in the first 100 positive integers that are congruent to 3 modulo 7—meaning numbers that leave a remainder of 3 when divided by 7. Specifically, they are: 3, 10, 17, 24, 31, 38, 45, 52, 59, 66, 73, 80, 87, and 94. This predictable sequence reflects a fundamental principle: every segment of 7 consecutive numbers contains exactly one number satisfying the congruence. Over the first 100 positive integers, this pattern repeats in clean, logical cycles—no exceptions, no surprises. In a digital environment where trends spread fast through reliable, shareable facts, this number has begun resonating because it bridges everyday math with subtle logic. It offers a sense of pattern recognition and intellectual satisfaction—traits people actively seek when scrolling through Discover feeds. The precision and simplicity make it both memorable and relatable, especially among curious learners and health-conscious readers exploring evidence-based content.