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Belphegor's Prime: 1 000 000 000 000 066 600 000 000 000 001
Bounded Gaps Conjecture
Cryptography
Gauss's Strangest Discovery Was a Statistical Accident
How a Church Deacon Found the Biggest Prime Number Yet (It Wasn’t as Hard as You Think)
Mersenne Primes
Riemann Hypothesis (1859)
Terence Tao: Structure and Randomness in the Prime Numbers