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Observations on the Quintic Equation with five unknowns x4-y4=37(z2-w2)p3

International journal of applied research · 2015 · Vol. 1(3) · pp. 78–81

Abstract

The quintic Diophantine equation with five unknowns x4-y4=37(z2-w2)p3 is analysed for its infinitely many non-zero distinct integral solutions. A few interesting properties among the values of x,y,z,w,p and special numbers namely, polygonal, pyramidal, Centered pyramidal, Star, Stella octangular, and Jacobsthal numbers are presented.

Advanced Mathematical Theories and ApplicationsMathematics and ApplicationsNonlinear Waves and SolitonsQuintic functionSTELLA (programming language)Diophantine equationMathematicsZero (linguistics)Star (game theory)Mathematical physicsPure mathematicsMathematical analysisPhysics
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Observations on the Quintic Equation with five unknowns x4-y4=37(z2-w2)p3 · Scinovex