login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A197188 The Riemann primes of the psi type and index 4. 4

%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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 25 04:49 EDT 2024. Contains 374586 sequences. (Running on oeis4.)