As re-expressed by Euler, an equivalent form of this conjecture (called the ... to make clever guesses; indeed there are theorems, like 'Goldbach's Theorem,' ...

Goldbach-Euler theorem

In mathematics, the Goldbach–Euler theorem (also known as Goldbach's theorem), states that the sum of 1/(p − 1) over the set of perfect powers p, excluding 1 and omitting repetitions, converges to 1:

This result was first published in Euler's 1737 paper "Variae observationes circa series infinitas". Euler attributed the result to a letter (now lost) from Goldbach.

This is an excerpt from the article Goldbach-Euler theorem from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.

This result was first published in Euler's 1737 paper "Variae observationes circa series infinitas". Euler attributed the result to a letter (now lost) from Goldbach.

This is an excerpt from the article Goldbach-Euler theorem from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.

The article Goldbach-Euler theorem at en.wikipedia.org was accessed 30 times in the last 30 days. (as of: 07/21/2013)

Search results from Google and Bing

1

>30

1

Goldbach–Euler theorem - Wikipedia, the free encyclopedia

In mathematics, the Goldbach–Euler theorem (also known as Goldbach's theorem), states that the sum of 1/(p − 1) over the set of perfect powers p, excluding 1 ...

en.wikipedia.org/wiki/Goldbach%E2%80%93Euler_theorem

2

>30

2

On a series of Goldbach and Euler - Ideas - RePEc

We examine this proof closely and, with the help of some insight provided by a modern (and completely di erent) proof of the Goldbach-Euler theorem, we ...

ideas.repec.org/p/upf/upfgen/776.html

3

>30

3

Goldbach Euler theorem (Meaning of) - Encyclo

Goldbach–Euler theorem where the denominators now consist only of perfect powers minus one. ... Found op http://en.wikipedia.org/wiki/Goldbach– ...

www.encyclo.co.uk/define/Goldbach%20Euler%20theorem

4

>30

4

On the Goldbach-Euler Theorem regarding Prime Numbers ... - Nature

IN the published correspondence of Euler there is a note from him to Goldbach, or, the other way, from Goldbach to Euler, in which a very wonderful theorem is ...

www.nature.com/nature/journal/v55/n1418/abs/055196d0.html

5

>30

5

EULER, GOLDBACH, AND “FERMAT'S THEOREM ... - RZ User

Aug 16, 2010 ... EULER, GOLDBACH, AND “FERMAT'S THEOREM”. FRANZ LEMMERMEYER. Abstract. While preparing the correspondence between ...

www.rzuser.uni-heidelberg.de/~hb3/publ/eu4-2.pdf

6

>30

6

On the Goldbach-Euler Theorem concerning Primes

On the Goldbach-Euler theorem concerning Primes. Authors: Sylvester, J. J.. Affiliation: AA(January 1.) Publication: Nature, Volume 55, Issue 1421, pp.

adsabs.harvard.edu/abs/1897Natur..55..269S

7

>30

7

On the Goldbach-Euler Theorem concerning Primes - ResearchGate

Publication » On the Goldbach-Euler theorem concerning Primes.

www.researchgate.net/publication/31977921_On_the_Goldbach-Euler_Theorem_concerning_Primes

8

>30

8

Goldbach–Euler theorem | Facebook

Goldbach–Euler theorem. 0 likes · 0 talking about this.

www.facebook.com/pages/GoldbachEuler-theorem/133322900039903?rf=482298921781858

9

>30

9

Goldbach–Euler theorem - Rediff Pages

Goldbach–Euler theorem is on Rediff pages, ,Follow Goldbach–Euler theorem to get latest updates from Goldbach–Euler theorem.

pages.rediff.com/goldbach------euler-theorem/1718656

10

>30

10

On a Series of Goldbach and Euler - Mathematical Association of ...

Euler theorem, in the process vindicating Goldbach and Euler's work. In order ... completely different) proof of the Goldbach-Euler theorem that appeared in this.

www.maa.org/sites/default/files/pdf/upload_library/22/Ford/bibiloni206.pdf

Search results for "Goldbach-Euler theorem"

Google: approx. 272.000

Goldbach-Euler theorem in science

Goldbach Conjecture -- from Wolfram MathWorld

[PDF]On a Series of Goldbach and Euler - Mathematical Association of ...

Euler theorem, in the process vindicating Goldbach and Euler's work. In order ..... Solution of the Goldbach-Euler theorem by University of South Alabama Prob-.

Christian Goldbach - Wikipedia, the free encyclopedia

He also studied and proved some theorems on perfect powers, such as the Goldbach–Euler theorem, and made several notable contributions to analysis.

Major arcs for Goldbach's theorem

May 13, 2013 ... Both the ternary Goldbach conjecture and the binary, or strong, Goldbach conjecture had their origin in an exchange of letters between Euler ...

Leonard Euler - Maths for Europe

The proposition of Euler or: Euler's formula. 5. The ninepointcircle 6. ... Euler completed his studies at the University of Basel in 1726. He had studied many ...

[PDF]Introduction to Fermat's Last Theorem - Stanford University

The announcement last summer of a proof of Fermat's Last Theorem was an exciting ... Goldbach wrote Euler and mentioned some of Fermat's results. This got ...

[PDF]Euler's Polyhedral Formula - Department of Mathematics at CSI ...

College of Staten Island, CUNY. Talk at William Paterson University ... made its first appearance in a letter Euler wrote to Goldbach. ▻ For complex numbers he ...

[PDF]Alama Jesse A Formal Proof of Euler's Polyhedron Formula (PDF)

Stanford University alama@stanford.edu. Abstract. ... 1 Euler's Polyhedron Formula. Euler first discussed his formula in a 1750 letter to Christian Goldbach:.

Goldbach Variations | Roots of Unity, Scientific American Blog Network

May 15, 2013 ... Evelyn Lamb is a postdoc at the University of Utah. She writes ... between Christian Goldbach and Leonhard Euler in 1742, hence the name.

Books on the term Goldbach-Euler theorem

The Collected Mathematical Papers of James Joseph Sylvester

... 36 Partial differential operators, u 567, 608 Partitions Euler's theorem of
reciprocity for, I 597; it 2 of numbers, n 86, 90, ... 711 inequalities for, it 592 Goldbach-Euler theorem, rv 734 Prime radical circulator, n 97 Principiant, it 382
expressed ...

Journey through Genius: The Great Theorems of Mathematics

Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the ...

An Introduction to Gödel's Theorems (Cambridge Introductions to Philosophy)

In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incomplete...

The Early Mathematics of Leonhard Euler

There is almost no discussion other than an introductory paragraph in which he
attributes Theorem 1 to Goldbach. Goldbach's letter of April 1729, though, had
been addressed not to Euler but to Daniel Bernoulli. It seems that Euler did not ...

Emmy Noether's Wonderful Theorem

A beautiful piece of mathematics, Noether's Theorem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space, or rotat...

The Collected Mathematical Papers

74. ON THE Goldbach-Euler theorem REGARDING PRIME NUMBERS. [
Nature, LV. (189C-7), pp. 196, 197; 269.] In the published correspondence of
Euler there is a note from him to Goldbach, or, the other way, from Goldbach to
Euler ...

Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills (New in Paper)

I used to think math was no fun'Cause I couldn't see how it was doneNow Euler's my heroFor I now see why zeroEquals e[pi] i+1--Paul Nahin, electrical engineer In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even...

Introduction to the theory of numbers

indicates that Konig and Maupertius argued about the priority of Euler's proof of
Fermat's Theorem. ... In 1743, C. Goldbach had observed in a letter to Euler [5.11]
that a polynomial f(x) cannot represent primes alone because the constant term ...

Visions of Infinity: The Great Mathematical Problems

It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field’s unlimited potential, and keep mathematicians looking toward t...

Development of Google searches

Blog posts on the term

Goldbach-Euler theorem

Goldbach-Euler theorem

Who computed Catalan numbers? | Igor Pak's blog

I became rather interested in the early history of Catalan numbers after reading multiple somewhat contradictory historical accounts. Now that I checked the sources, most of which are available online (see my Catalan Numbers page), I think I understand what happened. While I conclude that Euler deserve most of the credit, as I see…

igorpak.wordpress.com/2013/02/20/who-computed-catalan-numbers/
Goldbach–Euler theorem...1=Σ(1/(p-1) - アットランダム - Yahoo!ブログ
blogs.yahoo.co.jp/crazy_tombo/45982350.html

Goldbach Conjecture | Ealmeida's Weblog

Goldbach's theory was that any even prime number greater or equal to 4 can be written as a sum of 2 prime numbers. For example: 16=3+13 or 11+5=16 Who was Christian Goldbach? Born, March 18, 1690,in the Duchy of Prussia's capital Königsberg, part of Brandenburg-Prussia, Goldbach was the son of a pastor. He studied at…

ealmeida.wordpress.com/2008/11/24/what-is-prime-number/
Stirring the Pot, 2: Godel, the Incompleteness Theorem, Euler’s expression, and the Turing Machine dilemma | Uncommon Descent

more

www.uncommondescent.com/intelligent-design/stirring-the-pot-2-godel-the-incompleteness-theorem-eulers-expression-and-the-turing-machine-dilemma/
Leonhard Euler | artselectronic

In mathematics circles many think of Leonhard Euler as the most preeminent mathematician of the 18th century, and one of the greatest mathematicians to have ever lived. The former Soviet Union celebrated the life and legacy of Leonhard Euler on a 1957 Stamp with an image and the words “250 years from the birth of…

artselectronic.wordpress.com/2013/04/15/leonhard-euler/
The Greenbelt: Happy Birthday, Christian

Today in 1690 Christian Goldbach was born, in Königsberg, part of Brandenburg-Prussia. His famous conjecture:Every even integer greater than 3 can be written as the sum of two primesremains unproved (though intuitively obvious), but he's also remembered for the the Goldbach–Euler theorem (also known as Goldbach's theorem), which states that the sum of 1/(p − 1) over the set of perfect powers p, excluding 1 and omitting repetitions, converges to 1.

thegreenbelt.blogspot.com/2011/03/happy-birthday-christian.html
Unsolved problems in Maths : Working on the Goldbach Conjectures - Pashtun Community | Pashtuns | Pashto |

Unsolved problems in Maths : Working on the Goldbach Conjectures Philosophy/Education فلسفه/تعلیم

www.pashtunforums.com/showthread.php?t=27953
Philosophical Fortnights: Two new theorems in number theory
tlonuqbar.typepad.com/phfn/2013/05/two-new-theorems-in-number-theory.html

Four color problem, odd Goldbach conjecture, and the curse of computing | Theory, Evolution, and Games Group

For over twenty-three hundred years, at least since the publication of Euclid's Elements, the conjecture and proof of new theorems has been the sine qua non of mathematics. The method of proof is at "the heart of mathematics, the royal road to creating analytical tools and catalyzing growth" (Rav, 1999; pg 6). Proofs are not…

egtheory.wordpress.com/2013/05/14/curse-of-computing/
The Goldbach Conjecture | OU Math Club

Not to be confused with the The Gold-Bug, the Gold Bug Variations, or the Goldberg Variations, the Goldbach Conjecture is a perhaps second only to Fermat's Last Theorem among the famous unsolved problems of mathematics. In fact, it's at the center of at least one book (Uncle Petros and Goldbach's Conjecture) and one film (Fermat's…

oumathclub.wordpress.com/2012/05/22/the-goldbach-conjecture/
123

More cyclopaedia entries

10. Goldbach (Mohne)

21. Goldbach Comet

25. Goldbach number

27. Goldbach problem

30. Goldbach theorem