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Prime numbers and the first digit phenomenon

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Publication:800412
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DOI10.1016/0022-314X(84)90061-1zbMath0549.10040MaRDI QIDQ800412

Daniel I. A. Cohen, Talbot M. Katz

Publication date: 1984

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

prime numbersnatural densityBenford phenomenonfirst digit problemzeta density


Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Primes (11A41)


Related Items (8)

A characterization of Benford's law in discrete-time linear systems ⋮ On the discrepancy of powers of random variables ⋮ Products of random variables and the first digit phenomenon ⋮ Leading Digits of Mersenne Numbers ⋮ On the mantissa distribution of powers of natural and prime numbers ⋮ Generalizing Benford's law using power laws: application to integer sequences ⋮ Fast growing sequences of numbers and the first digit phenomenon ⋮ Most linear flows on \(\mathbb{R}^d\) are Benford



Cites Work

  • An explanation of the first digit phenomenon
  • The First Digit Problem
  • Unnamed Item
  • Unnamed Item


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