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Mathematics
Problem 37.pdf
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Mathematics
Problem 37.pdf
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Problem 37.pdf
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Problem 38.pdf
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Problem 38.pdf
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Prime Gaps.pdf
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From a 70-Million Bound to Just 246: The Electrifying Story of Prime Gaps

For centuries, the twin prime conjecture seemed untouchable. Mathematicians couldn't even prove that any finite gap between primes occurs infinitely often.
Then, in 2013, a stunning breakthrough by Yitang Zhang proved the gap was less than 70,000,000. In less than a year, a global collaborative effort slashed that number to 246.

How did this happen? What new ideas unlocked a problem that was stuck for centuries? Dive into the full story, from the GPY sieve to the Maynard-Tao breakthrough, in the attached PDF.

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Mathematics
Problem 38.pdf
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