A332308 -id:A332308 - cp's OEIS frontend

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

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

Offset: 2

Simon Plouffe, Mar 08 2020

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

			{c^2} = 3051134459, {c^3} = 168535743094673, where {c^n} = nearest integer to c^n.

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.

Cf. A332308, A335321.

a(n) = round(c^n), is prime for n = 2..633, with c = 55237.07504296764715433124...

A335320 Decimal expansion of a prime generating constant c for which round(c^k) is prime for 2 <= k <= 388.

Original entry on oeis.org

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

Offset: 5

Hugo Pfoertner, Jun 30 2020

See A332308 for more information and references.

Apart from the offset, first differs from A010467 at the 9th digit. - Omar E. Pol, Jun 30 2020

			31622.7767185595693411819787061428809211960501987066916850926...

Hugo Pfoertner, Table of n, a(n) for n = 5..4100, provides all 4096 digits.

Cf. A332308, A010467.

cp's OEIS Frontend

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

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