The first-digit frequencies of prime numbers and Riemann zeta zeros

  title={The first-digit frequencies of prime numbers and Riemann zeta zeros},
  author={Bartolo Luque and Lucas Lacasa},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  pages={2197 - 2216}
  • B. Luque, L. Lacasa
  • Published 8 July 2009
  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Prime numbers seem to be distributed among the natural numbers with no law other than that of chance; however, their global distribution presents a quite remarkable smoothness. Such interplay between randomness and regularity has motivated scientists across the ages to search for local and global patterns in this distribution that could eventually shed light on the ultimate nature of primes. In this paper, we show that a generalization of the well-known first-digit Benford's law, which… 

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