A332308 a(n) = round(c^n), where c is the prime generating constant c = 31622.77671855956934118197870614288... .

1000000007, 31622776952311, 1000000014783746303, 31622777186062677745609, 1000000022175619536498921059, 31622777419814234539614807614633, 1000000029567492824611472390607319403, 31622777653565793061482767695810547093627, 1000000036959366167363813218134876470482703123

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