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Primes arising in Newman digit sums.
0

%I #16 Jan 26 2024 09:19:02

%S 3,5,17,43,257,683

%N Primes arising in Newman digit sums.

%C Shevelev: "A remarkable result of M. Drmota and M. Skalba: the only primes p <= 1000 satisfying S_{p,0}(n) > 0 (at least for sufficiently large n) are 3, 5, 17, 43, 257, 683."

%H M. Drmota and M. Skalba, <a href="http://dx.doi.org/10.1090/S0002-9947-99-02277-1">Rarified sums of the Thue-Morse sequence</a>, Trans. of the AMS 352 No. 2 (1999) 609-642, Table 1.

%H Vladimir Shevelev, <a href="http://arXiv.org/abs/0709.3821">New Digit Results and Several Problems</a>, arXiv:0709.3821 [math.NT], 2007.

%K more,nonn,base

%O 1,1

%A _Jonathan Vos Post_, Sep 29 2007