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:
\sum_{p}\frac{1}{p-1}= {\frac{1}{3} +  \frac{1}{7} + \frac{1}{8}+ \frac{1}{15} + \frac{1}{24} + \frac{1}{26}+ \frac{1}{31}}+ \cdots = 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.

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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
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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
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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– ...
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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
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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 ...
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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
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On the Goldbach-Euler Theorem concerning Primes - ResearchGate
Publication » On the Goldbach-Euler theorem concerning Primes.
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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.
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Goldbach-Euler theorem in science
Goldbach Conjecture -- from Wolfram MathWorld
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,' ...
[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
The Collected Mathematical Papers of James Joseph Sylvester
James Joseph Sylvester, 2008
... 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
Journey through Genius: The Great Theorems of Mathematics
William Dunham, 1991
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)
An Introduction to Gödel's Theorems (Cambridge Introductions to Philosophy)
Peter Smith, 2013
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
The Early Mathematics of Leonhard Euler
C. Edward Sandifer, 2007
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
Emmy Noether's Wonderful Theorem
Dwight E. Neuenschwander, 2010
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
The Collected Mathematical Papers
Henry John Stephen Smith, 1965
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)
Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills (New in Paper)
Paul J. Nahin, 2011
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
Introduction to the theory of numbers
Harold N. Shapiro, 1983
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
Visions of Infinity: The Great Mathematical Problems
Ian Stewart, 2013
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...
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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…
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Goldbach–Euler theorem...1=Σ(1/(p-1) - アットランダム - Yahoo!ブログ
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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
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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
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Philosophical Fortnights: Two new theorems in number theory
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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…
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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/
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