Revision #486 → #1011 · back to history
addedPrime-counting function π(x)02f33ba709b1
addedπ(10) = 4f35f8784a457
addedPrime number theorem (asymptotic law)f6763b1b8fe8
addedLegendre's conjecture for π(a)f8f81c2bbaee
addedDirichlet's theorem over Gaussian integersaac74fe2b60d
addedChebyshev: limit must equal one0a2ef02778c9
addedChebyshev bounds on π(x)/(x/ln x)12039d7839cb
addedBertrand's postulated569e3c4f691
addedRiemann hypothesis (conjecture)f78fad5a64ac
addedNon-vanishing of ζ(s) on Re(s)=1eefe73ea65d7
addedGoldston–Pintz–Yıldırım bounded gaps result10fb48ec03b9
addedEuclid: infinitely many primes7457d1247fcb
addedGauss's conjecture (logarithmic integral)bbcd605e942e
addedPrime number theorem7a6f59c7b794
addedDirichlet's theorem on arithmetic progressions202f7e6a8c5b
addedPNT for arithmetic progressionsa9e064f0e4c7
addedTwin prime conjecture90662d512b93
addedBounded gaps (k ≤ 12 under Elliott–Halberstam)8cc1ca967a4f
addedBounded gaps (k ≤ 246 unconditional)04f133f6792c
addedWaring's problem31edc15fbca3
addedLagrange's four-square theorem5df3436cd6ab
addedHilbert's solution of Waring's problem6c405d95f052
addedVinogradov's bound for G(k)4d4d9a5b94df
addedGauss circle problema3b02aa9f604
addedLattice point count with error term73af8c80ad45
addedGauss's error boundfb4987b169f7
addedSierpiński's 1906 bound25217a49de3f
addedHardy–Landau lower boundf2d172686b5e
addedHuxley's 2000 resultc0a2395a525a
addedDirichlet series98db9425046a
addedConvergence on a half-planedfa8a4eec3b9
addedProduct of Dirichlet series as convolution153f5e9781ff
addedEuler product for ζ(s)4a2e1ab2c8db
addedEuler's analytic proof of infinitude of primesc9268e54f24a
addedMeromorphic continuation of ζ(s)4d074f833b22
addedRiemann Hypothesis (non-trivial zeros)19088cb7c9cc
addedError term in PNT under RH736d5268107d
addedHardy: infinitely many zeros on critical linee832fbe311b4