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Modifications of the Eratosthenes sieve

Volume 135 / 2014

Jerzy Browkin, Hui-Qin Cao Colloquium Mathematicum 135 (2014), 127-138 MSC: Primary 11A41; Secondary 11N32, 11N36. DOI: 10.4064/cm135-1-10


We discuss some cancellation algorithms such that the first non-cancelled number is a prime number $p$ or a number of some specific type. We investigate which numbers in the interval $(p, 2p)$ are non-cancelled.


  • Jerzy BrowkinInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
  • Hui-Qin CaoDepartment of Applied Mathematics
    Nanjing Audit University
    211815, Nanjing, P.R. China

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