Prime Calc

PrimeCalc - free scientific symbolic calculator - 70 functions, 20 mathematical constants and up to six variables - New functions and constants can be defined by the user - Supports complex numbers - Matrices, vectors, sets and calculations on them - Solves the mathematical equations - Calculate the integrals and derivatives - Step-by-step calculations - And many more Supported functions, operators, and mathematical constants: Arithmetic: Operators +, -, ×, ÷, % x^n - nth power of x √(x) - Square root of x √(n, x) - nth root of x ln(x) - Natural logarithm of x log(x) - Logarithm of x to base 10 log(n, x) - Logarithm of x to base n ∑(f(x), imin, imax) - Summation of f(x) from imin to imax ∏(f(x), imin, imax) - Product of f(x) from imin to imax Mathematical analysis: ∫(f(x)) - Indefinite integral of f(x) ∫(f(x), xmin, xmax) - Definite integral of f(x) from xmin to xmax ∂(f(x)) - Derivative of f(x) lim(f(x), c) - Limit of f(x) when x approaches c Equation solving: Representation of polynomial - x^2+3x-2=0 = - Polynomial equation operator Numerical Functions: m mod n - Remainder of m ÷ n gcd(m, n) - Greatest common divisor of m and n lcm(m, n) - Least common multiple of m and n abs(n) - Absolute value of n round(n) - Integer closest to n frac(n) - Fractional part of n floor(n) - Floor value of n ceil(n) - Ceiling value of n Complex numbers: Representation - 5+2i re(c) - Real part of complex number c im(c) - Imaginary part of complex number c Statistics: median([a]) - Median of [a] gmean([a]) - Geometric mean of [a] amean([a]) - Arithmetic mean of [a] randi(n) - Random integer from 0 to n randr - Random real from 0 to 1 Number theory: harmonicN(n) - nth harmonic number Combinatorics: n! - Factorial of n binomial(n, k) - Binomial coefficient multinomial(n1, n2, ...) - Multinomial coefficient catalanN(n) - nth Catalan number fibonacci(n) - nth Fibonacci number Trigonometric functions: sin(x), cos(x), tan(x) sec(x), csc(x), cot(x) asin(x), acos(x), atan(x), acot(x) Hyperbolic functions: sinh(x), cosh(x), tanh(x) arsinh(x), arcosh(x), artanh(x) Matrixes: Representation - [[1,2],[3,4]] [m1]⋅[m2] - Product of [m1] and [m2] tran([m]) - Transpose [m] ctran([m]) - Conjugate and transpose [m] inverse([m]) - Invert [m] det([m]) - Determinant of [m] tr([m]) - Trace of [m] mpow([m], n) - nth matrix power of [m] Number sets: Representation - [1,2] union([a1], [a2]) - Union of two sets intersec([a1], [a2]) - Intersection of two sets max([a]) - Largest element of [a] min([a]) - Smallest element of [a] Constants: π - Number Pi e - Euler's number i - Imaginary unit ∞ - Infinity γ - Euler–Mascheroni constant G - Catalan's constant A - Glaisher–Kinkelin constant φ - Golden ratio κ - Khinchin's constant C₂ - Twin prime constant ζ₃ - Apéry's constant B₄ - Brun's constant for prime quadruplets B₂ - Brun's constant for twin primes EB - Erdős–Borwein constant δ - Feigenbaum first constant α - Feigenbaum second constants BL - Legendre's constant M₁ - Meissel–Mertens constant