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Discriminant Equations in Diophantine Number Theory Jan-Hendrik Evertse, Klmn Gyory Bones and other artifacts have been discovered with marks cut into them that many believe are tally marks. These tally marks may have been used for counting elapsed time, such as numbers of days, lunar cycles or keeping records of quantities, such as of animals. Unlike many other programming languages, JavaScript does not define different types of numbers, like integers, short, long, floating-point etc. In that year, European settlers in the area numbered nearly 15,000. But most further development of the theory of primes in Europe dates to the Renaissance and later eras. In 1850 Victor Alexandre Puiseux took the key step of distinguishing between poles and branch points, and introduced the concept of essential singular points. This eventually led to the concept of the extended complex plane. This generalization is largely due to Ernst Kummer, who also invented ideal Number s, which were expressed