ConceptPrime Number Theorem / PNT

Prime Number Theorem

A fundamental theorem in number theory describing the distribution of primes among the natural numbers. It establishes that the count of primes up to N is asymptotically equal to N / ln N, revealing that primes become progressively sparser as numbers increase.

Timeline (last 90 days)

Oct 20

If the Riemann hypothesis holds, the error term of the prime number theorem would obtain an optimal estimate.

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Sep 26

The Prime Number Theorem states that the number of primes among the natural numbers from 1 to N is approximately N/lnN.

Unverified50%

All Facts (2)

Unverified

If the Riemann hypothesis holds, the error term of the prime number theorem would obtain an optimal estimate.

50%Unverified

The Prime Number Theorem states that the number of primes among the natural numbers from 1 to N is approximately N/lnN.

50%

Source Articles

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