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A333127 a(n) = round(c^n) with prime generating constant c = 55237.07504296764715433124... . 3
3051134459, 168535743094673, 9309421488742788613, 514225213380301008078907, 28404296700473737832215645327, 1568970268386786190461323870128523, 86665328455065998699156259015013574567, 4787139251495919953666696192531499395660543, 264427570076016102911609907247384217082828701473 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
COMMENTS
The exact value of c = 55237.0750429676471543312478152861741726374... has 5000 decimal digits (cf. A335321).
LINKS
Simon Plouffe, The calculation of p(n) and pi(n), arXiv:2002.12137 [math.NT], 2020. See Appendix.
Simon Plouffe, Constant c and list of the 632 primes, Jun 01 2020.
FORMULA
a(n) = round(c^n), is prime for n = 2..633, with c = 55237.07504296764715433124...
EXAMPLE
{c^2} = 3051134459, {c^3} = 168535743094673, where {c^n} = nearest integer to c^n.
CROSSREFS
Sequence in context: A186093 A357461 A336966 * A225140 A203886 A257914
KEYWORD
nonn,fini
AUTHOR
Simon Plouffe, Mar 08 2020
STATUS
approved

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Last modified May 27 15:26 EDT 2024. Contains 372866 sequences. (Running on oeis4.)