A333127 a(n) = round(c^n) with prime generating constant c = 55237.07504296764715433124... .

3051134459, 168535743094673, 9309421488742788613, 514225213380301008078907, 28404296700473737832215645327, 1568970268386786190461323870128523, 86665328455065998699156259015013574567, 4787139251495919953666696192531499395660543, 264427570076016102911609907247384217082828701473

Offset

2,1

Comments

The exact value of c = 55237.0750429676471543312478152861741726374... has 5000 decimal digits (cf. A335321).

Links

Hugo Pfoertner, Table of n, a(n) for n = 2..211

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

Cf. A332308, A335321.

Sequence in context: A186093 A357461 A336966 * A225140 A203886 A257914

Adjacent sequences: A333124 A333125 A333126 * A333128 A333129 A333130

Keyword

nonn,fini

Author

Simon Plouffe, Mar 08 2020

Status

approved