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math.NT2006
Formulas giving prime numbers under Cramér's conjecture
Bakir Farhi
Under Cramér's conjecture concerning the prime numbers, we prove that for any , there exists a real for which the formula (where denotes the intege…
math.NT2006
About the fractional parts of the powers of the rational numbers
Bakir Farhi
Let () be a positive rational number such that . We show that for any , there exists a set , with finite border and…