Articles with "prime factor" as a keyword



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On the largest prime factor of shifted primes

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Published in 2017 at "Acta Mathematica Sinica, English Series"

DOI: 10.1007/s10114-016-5121-3

Abstract: For any integer n ≥ 2, let P(n) be the largest prime factor of n. In this paper, we prove that the number of primes p ≤ x with P(p−1) ≥ pc is more than… read more here.

Keywords: shifted primes; largest prime; factor shifted; prime factor ... See more keywords
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A power-efficient variable-length prime factor MDC FFT architecture for high-speed wireless communication applications

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Published in 2020 at "AEU - International Journal of Electronics and Communications"

DOI: 10.1016/j.aeue.2020.153194

Abstract: Abstract In this paper, a variable-size power-efficient two-parallel prime factor MDC FFT architecture is proposed which uses a novel reconfigurable processing element pair (RPEP). The prior reconfigurable FFT approaches merely concentrate on FFT architectures with… read more here.

Keywords: fft; power; factor mdc; power efficient ... See more keywords
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Elliott-Halberstam conjecture and values taken by the largest prime factor of shifted primes

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Published in 2020 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2019.06.015

Abstract: Abstract Denote by P the set of all primes and by P + ( n ) the largest prime factor of integer n ⩾ 1 with the convention P + ( 1 ) = 1… read more here.

Keywords: prime factor; elliott halberstam; halberstam conjecture; largest prime ... See more keywords