Statistical study of digits of some square roots of integers in various bases
Statistical study of digits of some square roots of integers in various bases
Some statistical tests of randomness are made of the first 88062 binary digits (or equivalent in other bases) of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="square-root n"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">√<!-- √ --></mml:mo> <mml:mi>n</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\surd n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in various bases <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="b"> <mml:semantics> <mml:mi>b</mml:mi> <mml:annotation …