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- W2964284108 abstract "In RSA cryptography numbers of the form [Formula: see text], with [Formula: see text] and [Formula: see text] two distinct proportional primes play an important role. For a fixed real number [Formula: see text] we formalize this by saying that an integer [Formula: see text] is an RSA-integer if [Formula: see text] and [Formula: see text] are primes satisfying [Formula: see text]. Recently Dummit, Granville and Kisilevsky showed that substantially more than a quarter of the odd integers of the form [Formula: see text] up to [Formula: see text], with [Formula: see text] both prime, satisfy [Formula: see text]. In this paper, we investigate this phenomenon for RSA-integers. We establish an analogue of a strong form of the prime number theorem with the logarithmic integral replaced by a variant. From this we derive an asymptotic formula for the number of RSA-integers [Formula: see text] which is much more precise than an earlier one derived by Decker and Moree in 2008." @default.
- W2964284108 created "2019-07-30" @default.
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- W2964284108 date "2017-10-16" @default.
- W2964284108 modified "2023-09-27" @default.
- W2964284108 title "Products of two proportional primes" @default.
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- W2964284108 doi "https://doi.org/10.1142/s1793042117501445" @default.
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