Primes whose sum of digits is prime and metric number theory

Primes whose sum of digits is prime and metric number theory

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 Riva...

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2012-10, Vol.44 (5), p.1042-1049
1. Verfasser: Harman, Glyn
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description 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.
doi_str_mv 10.1112/blms/bds034
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title Primes whose sum of digits is prime and metric number theory
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