On Primes and Powers of a Fixed Integer |
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Authors: | Elliott P D T A |
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Institution: | Department of Mathematics, University of Colorado Boulder, CO 80309-0395, USA, pdtae{at}euclid.colorado.edu |
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Abstract: | According to a 1904 conjecture of Dickson 2] unless preventedby congruence conditions, any finite collection of linear formsin Zx] with positive leading coefficients infinitely oftensimultaneously represent primes. For the forms x, x+2 this includesthe conjectured infinitude of prime-pairs. |
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