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Generation of primesElliptic-curve cryptographyQuadratic sieveGeneral number field sieveExponentiation by squaringMontgomery modular multiplicationMinhashBerlekamp's algorithmPollard's rho algorithmPrime number theoremQuadratic programmingMaximum principleDual ec drbgFermat primality testElliptic curveFundamental theorem of arithmeticEdwards curveFermat pseudoprimeIndex calculus algorithmComplex multiplicationAutomated theorem provingCombinatorial principlesAlgebraic number theorySupersingular isogeny graphBackward euler methodApproximation algorithmCounting points on elliptic curvesEuclidean algorithmPrime factorizationQr algorithmCollocation methodProofs of quadratic reciprocityAnalytic number theoryQuadratic reciprocityEppstein's algorithmSieve of sundaramDiophantine geometryEuler's criterionExact differential equationProjections onto convex setsSieve of pritchardCurve-shortening flowSimon's problemExponential sheaf sequencePseudo-spectral methodFermat's little theoremKarp reductionEuclid numberPerturbation theorySpecial number field sieveBiconjugate gradient methodProperty testingLinear interpolationMethods of computing square rootsDixon's factorization methodGeometry of numbersAsymptotic homogenizationArithmetic geometryProbabilistically checkable proofSuccessive over-relaxationSemi-simplicityKaratsuba algorithmLemniscate elliptic functionsInteger factorization recordsNumerical linear algebraPrimitive polynomialRotating calipersNearest-neighbor chain algorithmConjugate gradient methodLattice-based cryptographyDirichlet's approximation theoremPrime elementEllipsoid methodLifting-the-exponent lemmaAlgebraic geometryDivisibility ruleLattice reductionConvergence testsLanczos algorithmInverse iterationNumerical analysisQuantum phase estimation algorithmPrime-counting functionPolynomial long divisionInteger factorizationCross-multiplicationAlgebraic combinatoricsMonte carlo methodParallelogram lawEuler methodApproximation theoryLegendre polynomialPentagonal number theoremPrimes in arithmetic progressionChakravala methodMethod of momentsGeometric hashingComputational geometryLaplace's methodComputable number