Primes and polynomials with restricted digits

HIGHLIGHTS

  • who: from the Mathematical Institute have published the paper: Primes and Polynomials With Restricted Digits, in the Journal: (JOURNAL) of December/12,/2020
  • what: The authors show there are infinitely many prime numbers that do not have the digit a0 in their base q expansion.

SUMMARY

    For any A > 0 the authors have 1A (P(n))=ar S(P) P(n) and amp;lt;qk qk/r (q - 1)k qk/r (q - 1)k, + O P,A qk qk (log qk )A where #{(n, m): 0 ≤ n, m and amp . . .

     

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