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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 23 18:15 EDT 2019. Contains 322387 sequences. (Running on oeis4.)