The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A333239 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A333239

Decimal expansion of lim_{n->infinity} (Product_{k=1..n} p(k)^2 / Product_{k=1..n} (p(k)^2 - 1)) where p(k) = A167135(k) are the primes with p mod 12 != 1.
(history; published version)

#17 by Joerg Arndt at Fri Sep 24 01:26:57 EDT 2021

STATUS

reviewed

approved

#16 by Michel Marcus at Fri Sep 24 01:01:08 EDT 2021

STATUS

proposed

reviewed

#15 by Jon E. Schoenfield at Thu Sep 23 22:21:37 EDT 2021

STATUS

editing

proposed

#14 by Jon E. Schoenfield at Thu Sep 23 22:21:35 EDT 2021

NAME

Decimal expansion of Lim_lim_{n->infinity} (Product_{k=1..n} p(k)^2 / Product_{k=1..n} (p(k)^2 - 1)) where p(k) = A167135(k) are the primes with p mod 12 != 1.

STATUS

approved

editing

#13 by Peter Luschny at Wed May 13 07:05:55 EDT 2020

STATUS

editing

approved

#12 by Peter Luschny at Wed May 13 07:05:28 EDT 2020

NAME

Decimal expansion of Lim_{n->=1infinity} (Product_{k=1..n} p(k)^2 / Product_{k=1..n} (p(k)^2 - 1)) where p(k) = A167135(k) are the primes with p mod 12 != 1.

STATUS

approved

editing

Discussion

Wed May 13

07:05

Peter Luschny: Per request of Vaclav.

#11 by Susanna Cuyler at Wed May 13 07:01:34 EDT 2020

STATUS

proposed

approved

#10 by Peter Luschny at Wed May 13 06:48:44 EDT 2020

STATUS

editing

proposed

#9 by Peter Luschny at Wed May 13 05:36:35 EDT 2020

CROSSREFS

Cf. A167135, A301430, A333304, A333240.

#8 by Peter Luschny at Wed May 13 05:10:46 EDT 2020

NAME

Limit Decimal expansion of Lim_{n>=1} (Product_{k=1..n} p(k)^2 / Product_{k=1..n} (p(k)^2 - 1) for n -> infinity ) where p(k) = A167135(k) are the primes with p mod 12 != 1.

FORMULA

A301430 = sqrt(A333239)*A333304.

CROSSREFS

Cf. A167135, A301430, A333304.