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Hi everyone,
Often in GMAT Quant prep, we focus on learning rules and applying formulas mechanically. But math is fundamentally about reasoning and creativity! Truly understanding why certain concepts work not only boosts confidence and problem-solving skills for the exam but also helps us appreciate the elegance of mathematics itself. Plus, sometimes, exploring these 'whys' is just plain fun!To help with that exploration, I'm starting this thread to share a video series I'm creating called "The Whys of GMAT Quant." My goal is to move beyond what the rules are and explore the reasoning behind key concepts often tested on the GMAT. I'll add new videos exploring different topics to this thread as they are created, so feel free to follow along!
To kick things off, here are two videos focusing on prime numbers:
1. Why are all prime numbers greater than 3 of the form 6n±1?
This is a super useful rule for GMAT strategies involving primes! But why is it true? Understanding the proof can help apply it correctly and confidently. This video explains:
- How examining remainders when dividing by 6 helps.
- Why numbers of the form 6n, 6n+2, 6n+3, 6n+4 can't be prime (>3).
- Leaving only 6n±1 as the possible forms.
Watch Video:
2. Why is 1 NOT considered a prime number? (More for curiosity and fun than for practical use in GMAT prep)
This video dives into:
- Why the definition of prime numbers is structured the way it is (beyond just stating it).
- The crucial role of the Fundamental Theorem of Arithmetic.
- The history (1 was once considered prime!) and the Pluto analogy.
Watch Video:
I hope these first two videos spark some interest! I plan to add more videos exploring other "Why" questions in GMAT Quant to this thread over time.
Please feel free to discuss these concepts here, ask questions, or suggest Quant topics you'd be interested in seeing covered. Let's deepen our Quant understanding and appreciation together!
Best,CJ