A197188 The Riemann primes of the psi type and index 4.

2, 5, 7, 11, 13, 17, 31, 41, 43, 71, 89, 103, 109, 139, 173, 191, 197, 241, 281, 317, 443, 487, 569, 577, 701, 761, 797, 919, 1009

Offset

1,1

References

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.

Links

Table of n, a(n) for n=1..29.

M. Planat and P. Solé, Efficient prime counting and the Chebyshev primes, arXiv:1109.6489 [math.NT]

Prog

(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

Crossrefs

Cf. A196670, A197185, A197186, A197187.

Sequence in context: A257974 A323782 A020591 * A265809 A303112 A182320

Adjacent sequences: A197185 A197186 A197187 * A197189 A197190 A197191

Keyword

nonn,more

Author

Michel Planat, Oct 11 2011

Extensions

More terms from Dana Jacobsen, Dec 28 2015

Status

approved