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 A197187 The Riemann primes of the psi type and index 3. 5
 2, 3, 5, 7, 11, 13, 17, 29, 59, 67, 97, 103, 149, 151, 233, 251, 277, 311, 313, 479, 643, 719, 919, 967, 1039, 1373, 1489, 1553, 1847, 1973, 1979, 2663, 2953, 3323, 3677, 3691, 4651, 4663, 4789 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The sequence consists of the prime numbers p that are champions (left to right maxima) of the function |psi(p^3)-p^3|, where psi(p) is the Chebyshev psi function. LINKS Table of n, a(n) for n=1..39. M. Planat and P. Solé, Efficient prime counting and the Chebyshev primes, arXiv:1109.6489 [math.NT], 2011. MATHEMATICA ChebyshevPsi[n_] := Range[n] // MangoldtLambda // Total; Reap[For[max=0; p=2, p < 1000, p = NextPrime[p], f = Abs[ChebyshevPsi[p^3] - p^3]; If[f > max, max = f; Print[p]; Sow[p]]]][[2, 1]] (* Jean-François Alcover, Dec 03 2018 *) PROG (Perl) use ntheory ":all"; my(\$max, \$f)=(0); forprimes { \$f=abs(chebyshev_psi(\$_**3)-\$_**3); if (\$f > \$max) { say; \$max=\$f; } } 1000; # Dana Jacobsen, Dec 28 2015 CROSSREFS Cf. A196669, A197185, A197186, A197188. Sequence in context: A249644 A103144 A105909 * A086498 A211655 A359138 Adjacent sequences: A197184 A197185 A197186 * A197188 A197189 A197190 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 July 13 14:24 EDT 2024. Contains 374284 sequences. (Running on oeis4.)