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In Europe, Muslims will make up 10% of the overall population.

The global Buddhist population will be about the same size it was in 2010, while the Hindu and Jewish populations will be larger than they are today.

Atheists, agnostics and other people who do not affiliate with any religion – though increasing in countries such as the United States and France – will make up a declining share of the world’s total population.

The number of Muslims will nearly equal the number of Christians around the world.

Over the next four decades, Christians will remain the largest religious group, but Islam will grow faster than any other major religion. The Hermite-Lindemann Transcendence Theoremĭivergence of the Prime Reciprocal Seriesĭissection of Cubes (J.E.The religious profile of the world is rapidly changing, driven primarily by differences in fertility rates and the size of youth populations among the world’s major religions, as well as by people switching faiths. The Solution of the General Quartic Equation Sum of the Reciprocals of the Triangular Numbers

Victor Puiseux (based on a discovery of Isaac Newton of 1671) The Undecidability of the Continuum HypothesisĪrithmetic Mean/Geometric Mean (Proof by Backward Induction) Primes that Equal to the Sum of Two Squares (Genus theorem)

Theorem and the Construction of Trancendental Numbers Insolvability of General Higher Degree Equations Bernhard Riemann collectivelyĮuler’s Summation of 1 + (1/2)^2 + (1/3)^2 + … (the Basel Problem). Karl Frederich Gauss, Janos Bolyai, Nikolai Lobachevsky, G.F. Generalization of Fermat’s Little Theorem Yourself with the list itself and the biographies of the principals. Include links to the proofs of them all for now, you'll have to content Theorems here are all certainly worthy results.

The list is of course as arbitrary as the movie and book list, but the Mathematicians were not immune, and at a mathematics conference in July, 1999, Paul and Jack Abad presented their list of "The Hundred Greatest Theorems." Their ranking is based on the following criteria: "the place the theorem holds in the literature, the quality of the proof, and the unexpectedness of the result." The millenium seemed to spur a lot of people to compile "Top 100" or "Best 100" lists of many things, including movies (by the American Film Institute) and books (by the Modern Library). The Top 100 Theorems The Hundred Greatest Theorems