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 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. SolĂ©, <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

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