Israel Journal of MathematicsBourgain, J. (2013) Prescribing the binary digits of primes. Israel J. Math. 194: pp. 935-955J. Bourgain, Prescribing the binary digits of primes, Israel J. Math. 194 (2013), no. 2, 935-955.J. Bourgain, `Prescribing the binary digits of primes', Israel...
Binary DigitPrincipal CharacterOreticMonotone Boolean FunctionWe obtain the expected asymptotic formula for the number of primes p < N = 2 (n) with r prescribed (arbitrary placed) binary digits, provided r < cn for a suitable constant c > 0. This result improves on our earlier result where...