Erdos-Kac Theorem
Number TheorySOLVED
Year
1940
Difficulty
*****
Solved by
Paul Erdos & Mark Kac (1940)
Statement
The number of distinct prime factors of n is approximately normally distributed.
About this Problem
The "fundamental theorem of probabilistic number theory." Prime factorization has a deep Gaussian connection.
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Lean 4 is a theorem prover and programming language. When a proof compiles in Lean, it is mathematically certain to be correct — the type checker verifies every logical step. This is the gold standard for formal verification.
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Mathematical Art
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