Rainer Rosenthal wrote: > Martin Musatov wrote: > > > > firstname.lastname@example.org wrote: > >> Rainer Rosenthal wrote: > >>> > >>> Here is another easy one: n = 2, 71^p, p? > >>> > >>> Solution: p=4, 71^p=25411681. > >>> > >> > >> Well, why writing "easy one" if you do not mind > >> explaining your way ? > >> > > > Now the gate has opened as recognized proven by Musatov (2009) > > <P==NP>. Define:n=2, #^p > > How interesting, indeed. I showed my stupid search method. > Does it already belong to P? I don't think so. It looks > heavily like NP. > What P-method do you suggest? > Basic Rules: Sqrt[Sin[x]] for the square root of the sine of x. Names of functions start with capital letters. Arguments of functions are put inside square brackets. Multiplication is indicated by a space.Elementary and Operations Functions Basic Arithmetic Operations: a + b plus a - b minus a b or a*b times a/b divide a^b power Sqrt[a] square root Mathematical Constants Pi 3.14159... Degree degree I i E e, 2.71828... GoldenRatio golden ratio, 1.61803... EulerGamma Euler's constant, 0.57721... Catalan Catalan's constant, 0.91596... StieltjesGamma[n] Stieltjes constants Trigonometric and Exponential Functions Sin[x], Cos[x], Tan[x],Csc[x], Sec[x], Cot[x] trigonometric functions (with arguments in radians) ArcSin[x], ArcCos[x], ArcTan[x], ArcTan[x,y],ArcCsc[x], ArcSec[x], ArcCot[x] inverse trigonometric functions (giving results in radians) Exp[x] or E^x exponential function Log[x] natural logarithm Log[b, x] logarithm of x to the base b Sinh[x], Cosh [x], Tanh[x], Csch[x], Sech[x], Coth[x] hyperbolic functions ArcSinh[x], ArcCosh[x], ArcTanh[x], ArcCsch[x], ArcSech[x], ArcCoth [x] inverse hyperbolic functions. For example, the Musatov polynomials are denoted by MusatovP[n, x].
The associated Musatov polynomials , are denoted as MusatovP[n, m, x] > Cheers, > Rainer Rosenthal > email@example.com