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A332308 a(n) = round(c^n), where c is the prime generating constant c = 31622.77671855956934118197870614288... . 3
1000000007, 31622776952311, 1000000014783746303, 31622777186062677745609, 1000000022175619536498921059, 31622777419814234539614807614633, 1000000029567492824611472390607319403, 31622777653565793061482767695810547093627, 1000000036959366167363813218134876470482703123 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

The exact value of c = 31622.776718559569341 ... has 4096 decimal digits (cf. A335320).

LINKS

Hugo Pfoertner, Table of n, a(n) for n = 2..222

Simon Plouffe, The calculation of p(n) and pi(n), arXiv:2002.12137 [math.NT], 2020. See Appendix.

Simon Plouffe, A formula for primes

FORMULA

a(n) = round(c^n), gives primes for n = 2..388.

EXAMPLE

round(c^2) = 1000000007, round(c^3) = 31622776952311.

CROSSREFS

Cf. A333127, A335320.

Sequence in context: A204593 A017649 A117979 * A096213 A048939 A269120

Adjacent sequences:  A332305 A332306 A332307 * A332309 A332310 A332311

KEYWORD

nonn,fini

AUTHOR

Simon Plouffe, Mar 07 2020

EXTENSIONS

Edited by Georg Fischer, Jun 27 2020

STATUS

approved

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Last modified May 9 09:01 EDT 2021. Contains 343699 sequences. (Running on oeis4.)