Teorem nombor perdana
Dalam matematik, teorem nombor perdana (PNT) menerangkan taburan asimptotik nombor perdana antara integer positif. Ia memformalkan idea intuitif bahawa bilangan prima menjadi kurang biasa apabila ia menjadi lebih besar dengan mengukur kadar di mana ini berlaku dengan tepat. Teorem ini telah dibuktikan secara bebas oleh Jacques Hadamard dan Charles Jean de la Vallée Poussin pada tahun 1896 menggunakan idea yang diperkenalkan oleh Bernhard Riemann (khususnya, fungsi zeta Riemann).
Sumber
[sunting | sunting sumber]- Hardy, G.H.; Littlewood, J.E. (1916). "Contributions to the theory of the Riemann zeta-function and the theory of the distribution of primes". Acta Mathematica. 41: 119–196. doi:10.1007/BF02422942. S2CID 53405990.
- Granville, Andrew (1995). "Harald Cramér and the distribution of prime numbers" (PDF). Scandinavian Actuarial Journal. 1: 12–28. CiteSeerX 10.1.1.129.6847. doi:10.1080/03461238.1995.10413946.
Pautan luar
[sunting | sunting sumber]- Hazewinkel, Michiel, penyunting (2001), "Distribution of prime numbers", Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4
- Table of Primes by Anton Felkel.
- Short video visualizing the Prime Number Theorem.
- Prime formulas and Prime number theorem at MathWorld.
- How Many Primes Are There? Diarkibkan 2012-09-20 di WebCite and The Gaps between Primes by Chris Caldwell, University of Tennessee at Martin.
- Tables of prime-counting functions by Tomás Oliveira e Silva
- Eberl, Manuel and Paulson, L. C. The Prime Number Theorem (Formal proof development in Isabelle/HOL, Archive of Formal Proofs)