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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
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
Sequence in context: A257974 A323782 A020591 * A265809 A303112 A182320
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 June 15 03:12 EDT 2024. Contains 373402 sequences. (Running on oeis4.)