Media Summary: How do we know there are an infinite number of Matt Parker explores the work of William Shanks - and boots up the ShanksBot. More links & stuff in Dr James Grime discusses highly composite numbers. More links & stuff in
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Fool Proof Test For Primes Numberphile - Detailed Analysis

How do we know there are an infinite number of Matt Parker explores the work of William Shanks - and boots up the ShanksBot. More links & stuff in Dr James Grime discusses highly composite numbers. More links & stuff in Fermat's "Little" Theorem is great - but beware of Fermat Liars and tricky Carmichael Numbers. More links & stuff in

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Fool-Proof Test for Primes - Numberphile
Gaps between Primes - Numberphile
Infinite Primes - Numberphile
Glitch Primes and Cyclops Numbers - Numberphile
Sexy Primes - Numberphile
Awkward Primes - Numberphile
Twin Proofs for Twin Primes - Numberphile
The Last Digit of Prime Numbers - Numberphile
1 and Prime Numbers - Numberphile
Squaring Primes - Numberphile
The Reciprocals of Primes - Numberphile
5040 and other Anti-Prime Numbers - Numberphile
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