A333127 -id:A333127 - cp's OEIS frontend

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

Simon Plouffe, Mar 07 2020

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

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

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

Cf. A333127, A335320.

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

Edited by Georg Fischer, Jun 27 2020

A335321 Decimal expansion of a prime generating constant c for which round(c^k) is prime for 2 <= k <= 633.

Original entry on oeis.org

5, 5, 2, 3, 7, 0, 7, 5, 0, 4, 2, 9, 6, 7, 6, 4, 7, 1, 5, 4, 3, 3, 1, 2, 4, 7, 8, 1, 5, 2, 8, 6, 1, 7, 4, 1, 7, 2, 6, 3, 7, 4, 0, 7, 4, 3, 5, 3, 4, 9, 7, 6, 6, 2, 5, 3, 5, 5, 7, 4, 0, 8, 6, 0, 7, 6, 5, 7, 1, 0, 8, 1, 9, 5, 5, 9, 2, 1, 2, 5, 6, 3, 6, 5, 8, 0, 7

Offset: 5

Hugo Pfoertner, Jun 30 2020

See A333127 for more information and references.

			55237.0750429676471543312478152861741726374074353497662535574...

Alois P. Heinz, Table of n, a(n) for n = 5..5004
Simon Plouffe, Constant c and list of the primes, Jun 01 2020.

Cf. A333127, A335320.

cp's OEIS Frontend

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

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