|
%I #15 Dec 28 2015 15:15:58
%S 2,5,7,11,13,17,31,41,43,71,89,103,109,139,173,191,197,241,281,317,
%T 443,487,569,577,701,761,797,919,1009
%N The Riemann primes of the psi type and index 4.
%D The sequence consists of the prime numbers p that are champions (left to right maxima) of the function |psi(p^4)-p^4|, where psi(p) is the Chebyshev psi function.
%H M. Planat and P. Solé, <a href="http://arxiv.org/abs/1109.6489">Efficient prime counting and the Chebyshev primes</a>, arXiv:1109.6489 [math.NT]
%o (Perl) use ntheory ":all"; my($max,$f)=(0); forprimes { $f=abs(chebyshev_psi($_**4)-$_**4); if ($f > $max) { say; $max=$f; } } 1000; # _Dana Jacobsen_, Dec 28 2015
%Y Cf. A196670, A197185, A197186, A197187.
%K nonn,more
%O 1,1
%A _Michel Planat_, Oct 11 2011
%E More terms from _Dana Jacobsen_, Dec 28 2015
|
