Solution: We are looking for the number of integers from 1 to 100 that are congruent to 3 modulo 7. These numbers form an arithmetic sequence:

Sun, 03 May 2026 19:06:00 +0000

**Discover Why This Simple Math Pattern Is Changing How We Think About Numbers** Have you ever wondered how small shifts in numbers create predictable patterns—like how the stock market moves or how calendar cycles repeat? One such insight gaining quiet attention from curious learners across the US is the frequency of integers matching specific modular conditions. Among these, a particular sequence standing out is the integers from 1 to 100 that are congruent to 3 modulo 7. This isn’t just a math exercise—it’s a gateway to understanding structured patterns in randomness, particularly relevant as more people explore data literacy, coding logic, and algorithmic thinking. Such sequences appear quietly in computer science, cryptography, and even financial modeling, where predictable repetitions help optimize systems. The mathematical concept behind this pattern—called modular arithmetic—simply asks: when do numbers leave the same remainder when divided by a fixed divisor? Here, 7 acts as the divisor, and “congruent to 3 mod 7” means any whole number that, divided by 7, leaves a remainder of 3.