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Topic: [HM] Prismodial formula
Replies: 31   Last Post: Jun 13, 2002 5:44 AM

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Udai Venedem

Posts: 199
Registered: 12/3/04
[HM] n=lp (Gauss's Prime Number Theorem)
Posted: Jun 1, 2002 1:21 PM
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on Sun, 26 May 2002, Tomas Kalmar <TomKalmar@aol.com> wrote:

<< I recall reading somewhere that in his youth Gauss wrote
(on the last page of a notebook?) a cryptic formula something
like n=lp where n is understood to mean any integer, l the log
of that integer, and p is short for pi[n], the number of primes
less than n: in short Gauss's Prime Number Theorem. >>

This is one of (many, as protested by Legendre) results alleged by
Gauss, when they were discovered by others. Indeed, the only Gaussian
real "touch" about it is in a letter to Johan Encke, dated 1848, when
Legendre had first announced it in 1798.

Udai Venedem
http://perso.wanadoo.fr/alta.mathematica/





Date Subject Author
5/27/02
Read [HM] Prismodial formula
Richard Askey
5/28/02
Read Re: [HM] Prismodial formula
Don Cook
5/28/02
Read Re: [HM] Prismodial formula
MANN@vms.huji.ac.il
5/28/02
Read Re: [HM] Prismodial formula
John Conway
5/28/02
Read [HM] The rosetta stone
Roger Cooke
5/30/02
Read [HM] ad usum Delphini Magni
Udai Venedem
6/1/02
Read [HM] n=lp (Gauss's Prime Number Theorem)
Udai Venedem
6/3/02
Read [HM] B. E. COUSINERY
Udai Venedem
6/4/02
Read Re: [HM] B. E. COUSINERY
Prof. Peter Schreiber
6/4/02
Read Re: [HM] B. E. COUSINERY
Phil Parker
6/13/02
Read Re: [HM] B. E. COUSINERY
Dominique Tournes
6/4/02
Read [HM] T.L.Heath
Dana Densmore
6/4/02
Read Re: [HM] T.L.Heath
John Harper
6/5/02
Read Re: [HM] T.L.Heath
Heinz Lueneburg
6/5/02
Read Re: [HM] T.L.Heath
Duncan Melville
6/6/02
Read Re: [HM] T.L.Heath
Dana Densmore
6/7/02
Read Re: [HM] T.L.Heath
Duncan Melville
6/6/02
Read Re: [HM] T.L.Heath
David Fowler
6/6/02
Read Re: [HM] T.L.Heath
Dana Densmore
6/6/02
Read Re: [HM] T.L.Heath
John Harper
6/7/02
Read Re: [HM] T.L.Heath
Samuel S. Kutler
6/9/02
Read Re: [HM] T.L.Heath
Dana Densmore
6/10/02
Read Re: [HM] T.L.Heath
MANN@vms.huji.ac.il
6/11/02
Read Re: [HM] T.L.Heath
Dana Densmore
6/11/02
Read Re: [HM] T.L.Heath
Dana Densmore
6/11/02
Read [HM] About Euclid (thread [HM] T.L.Heath)
Dana Densmore
6/6/02
Read Re: [HM] T.L.Heath
Joe Albree
5/28/02
Read Re: [HM] Prismodial formula
James A Landau
5/28/02
Read Re: [HM] Prismodial formula
James T. Smith
5/28/02
Read Re: [HM] Prismodial formula
joe malkevitch
5/29/02
Read Re: [HM] Prismodial formula
Laura Elena Morales Guerrero
5/29/02
Read Re: [HM] Prismodial formula
Amy K Ackerberg-Hastings

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