

A197188


The Riemann primes of the psi type and index 4.


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
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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. SolĂ©, 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



