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Primes whose sum of digits is prime and metric number theory
Author(s) -
Harman Glyn
Publication year - 2012
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bds034
Subject(s) - mathematics , prime number , base (topology) , number theory , prime (order theory) , metric (unit) , prime number theorem , decimal , discrete mathematics , arithmetic , combinatorics , mathematical analysis , operations management , economics
It is shown that almost all real x contain infinitely many primes in their decimal expansions (to any base) whose sum of digits is also prime, generalizing a previous result by the author. To do this, the earlier method in metric number theory is combined with recent work by Drmota, Mauduit and Rivat on primes with prescribed sum of digits.