Find the smallest positive integer whose fourth power ends in 01.

Sun, 03 May 2026 23:11:07 +0000

**Find the smallest positive integer whose fourth power ends in 01** What number, when raised to the fourth power, leaves a trail ending in 01—like a quiet puzzle sparking quiet intrigue? That’s the mystery behind finding the smallest positive integer whose fourth power ends in 01. This question isn’t just academic—it’s gaining quiet traction among curious minds exploring number patterns, digital curiosity, and pattern recognition in math. As online search trends reflect growing interest in cryptography, number theory, and computational puzzles, this specific end trait has emerged as a subtle but compelling edge case. **Why this question is resonating in the US digital space**
Across the United States, curiosity about logic, puzzles, and digital secrecy is at an all-time high—amplified by digital literacy growth and growing fascination with data patterns. While not mainstream, finding the smallest integer whose fourth power ends in 01 taps into a broader cultural pattern: people are drawn to unsolved or minimally solvable problems that offer quiet satisfaction through discovery. This query aligns with trends in logic-based learning, educational sharing, and even emerging niche communities centered on structured problem-solving. Though seemingly niche, its precise nature makes it both memorable and shareable in informed forums and mobile-first discovery feeds. **How to determine the correct integer—step by step**