Describing theĭistribution of primes is at the heart of much mathematics." A. Of the set of prime numbers is still not well understood. They alsoĪre among the most mysterious, for after centuries of study, the structure "Prime numbers are the most basic objects in mathematics. "Number theory, dynamical systems and statistical Structure of the primes, their building blocks. "To some extent the beauty of number theory seems to be related to theĬontradiction between the simplicity of the integers and the complicated Hardy from a 1915 lecture on prime numbers Will console themselves with the thought that the greatest mathematicians of all ages have found it in itĪ mysterious attraction impossible to resist." G. Will, if they are wise, make no attempt to justify their interest in a subject so trivial and so remote, and The theory of prime numbers satisfies no such criteria. A science is said to be useful if its development tends toĪccentuate the existing inequalities in the distribution of wealth, or more directly promotes theĭestruction of human life. The accusation is one against which there is no valid defence Īnd it is never more just than when directed against the parts of the theory which are more "The theory of Numbers has always been regarded as one of the most obviously Weyl from Philosophy of Mathematics and Natural Science (1927) Impenetrable law of the distribution of prime numbers." Even we enlightened scientists can still feel it e.g. Of numbers, may spring from this very fact, that the intellect, in theįorm of the number series, creates an infinite manifold of well distinguishable "The mystery that clings to numbers, the magic Numbers and Their Distribution (AMS, 2000) page 1 Numbers is undoubtedly the most ancient and most resistant." G. To such formidable enigmas? Among all these mysteries, that of the prime That these numbers, which lie so deeply within ourselves, also give rise From this a strange fascination arises: how can it be Legitimately be asked whether the subject of study of arithmetic is not the The strongest sense, part of ourselves, to such an extent that it can "As archetypes of our representation of the world, numbers form, in "The first 50 million prime numbers", The Mathematical Intelligencer 0 (1977) 16 "I hope that.I have communicated a certain impression of the immense beauty of the prime numbers and the endless surprises which they have in store for us." D. "The first 50 million prime numbers", The Mathematical Intelligencer 0 (1977) 8 To the contrary, upon looking at these numbers one has the feeling of being in the presence of one of the inexplicable secrets of creation." D. ".there is no apparent reason why one number is prime and another not. It is hard not to wonder what it is we are ultimately dealing with here. Mathematicians, however, are not ordinarily inclined to use such language so freely. Unthinkable complexity, utterly alien, secret source, profundity, profound mystery, great mystery, magic, alchemist, elixir, aesthetic appeal, works of art, poetry,Īrcane music, secret harmony, Nature's gift, inexplicable secrets of creation, gem, gemstone, jewels, crown, heart, soul, cosmos, abyss(es),ĭivine, Holy Grail, Lucifer, Devil and God.įeel at home with this. Tantalizingly, tantalizingly vulnerable, unveil, blazed.fearlessly, wreath its conqueror with glory, awesome vista, most ancient, cryptic, riddle, formidable enigmas, most enigmatic, strange conundrum, great white whale, quest, vast toil, Stultifying, fascinating, (strange) fascination, yearning, obsession, mysterious attraction, breathtaking(ly), beautiful, most beautiful, incredibly beautiful, immense beauty, beautiful harmonies,Įlegant, elegance, gorgeous, glamorous, enthralled, incredible, exalted, majestic, fantastic, miraculous, amazed, amazing, absolutely amazing, awed, impenetrable, impenetrability, tantalized, tantalizing, The words mystery, mysterious and secrets appear numerous times,īut also sense of wonder, strange, stunning, astonishing, baffling, bafflement, devilment, surprise, endless surprises, exasperating, perplexing, bedevilled, diabolical malice, teased, cruel and compelling, When reading these, take note of the profusion of emotional/poetic/ecstatic and religiously-oriented language Riemann hypothesis a selection of quotations
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