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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Sequence of digits of powers of two

The digits of power of $2$ follow Benford's law, not just the first digit of it, but a general distribution of all digits. Leading digits of power of 2 Benford's Law first couple of digits Therefore w …
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