""'The Penguin Dictionary of Curious and Interesting Numbers " "'is a reference book for recreational mathematics and elementary number theory written by David Wells.
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Gentzen explained : " The aim of the present paper is to prove the consistency of elementary number theory or, rather, to reduce the question of consistency to certain fundamental principles ".
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Among other problems in elementary number theory, he is the author of a theorem that allowed him getting a 5328-digit number that is at present the largest known primitive weird number.
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In addition it contains : didactical games ( like Number Shark, Divider Game, or Zudo-Ku ) and interactive tutorials about primes, elementary number theory, and lattice-based cryptography.
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Euclid s algorithm to compute the greatest common divisor ( GCD ) to two numbers appears as Proposition II in Book VII ( " Elementary Number Theory " ) of his " Elements ".
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This is only problem 3 in Chapter 1 of William Chen's " Elementary Number Theory " so it shouldn't be that hard . talk ) 14 : 32, 20 February 2010 ( UTC)
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In this book, there are group theoretical applications in Galois theory, elementary number theory, and Platonic solids, as well as extensive studies of ornaments, such as those that Speiser studied on a 1928 trip to Egypt.
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Intent on eventually settling in Jerusalem, he taught himself Hebrew and delivered a lecture entitled " Solved and unsolved problems in elementary number theory " in Hebrew on April 2, 1925 during the University's groundbreaking ceremonies.
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This is commonly called the generalized M�bius function, as a generalization of the inverse of the indicator function in elementary number theory, the M�bius function . ( See paragraph below about the use of the inverse in classical recursion theory .)
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When proving basic results about the natural numbers in elementary number theory though, the proof may very well hinge on the remark that any natural number has a successor ( which should then in itself be proved or taken as an axiom, see Peano's axioms ).