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

Author

Simon Plouffe, Mar 07 2020

Keywords

• nonn
• fini

Comments

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

Examples

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

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

Crossrefs

Cf. A333127, A335320.

Formula

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

Extensions

Edited by Georg Fischer, Jun 27 2020