International audienceAbstract Let b ⩾ 2 be an integer. Among other results we establish, in a quantitative form, that any sufficiently large integer which is not a multiple of b cannot simultaneously be divisible only by very small primes and have very few nonzero digits in its representation in base b
Knowledge about fractals, Nested Patterns, Number Bases and Number TheoryThe number of digits in the...
Güntzer and Paul introduced a number system with base 2 and digits −1, 0, 1 which is characterized b...
AbstractIn a recent paper, K. Soundararajan showed, roughly speaking, that the integers smaller than...
13 pages, comments welcomeInternational audienceAmong other results, we establish, in a quantitative...
Let b ≥ 2 be an integer. Not much is known on the representation in base b of prime numbers or of nu...
A smooth number is a number with only small prime factors. In particular, a posi-tive integer is y-s...
This paper deals with products of moderate-size primes, familiarly known as smooth numbers. Smooth n...
Let a0 ∈ {0, . . . , 9}. We show there are infinitely many prime numbers which do not have the digit...
© 2016, Pleiades Publishing, Ltd.An integer number n > 0 is called y-smooth for y > 0 if any prime f...
For any positive integers k and m, and any /, 0 ≤ / 0 such that any sufficiently large integer x ca...
Let a0∈{0,…,9}. We show there are infinitely many prime numbers which do not have the digit a0 in...
AbstractFor any positive integers k and m, and any l, 0 ≤ l < m, we show that there is a number β = ...
International audienceWe study the distribution of those integers all of whose prime power divisors ...
This research paper is to define new rule to find the divisibility of stream of binary on any prime ...
Let q be a sufficiently large integer, and a0∈{0,…,q−1}. We show there are infinitely many prime nu...
Knowledge about fractals, Nested Patterns, Number Bases and Number TheoryThe number of digits in the...
Güntzer and Paul introduced a number system with base 2 and digits −1, 0, 1 which is characterized b...
AbstractIn a recent paper, K. Soundararajan showed, roughly speaking, that the integers smaller than...
13 pages, comments welcomeInternational audienceAmong other results, we establish, in a quantitative...
Let b ≥ 2 be an integer. Not much is known on the representation in base b of prime numbers or of nu...
A smooth number is a number with only small prime factors. In particular, a posi-tive integer is y-s...
This paper deals with products of moderate-size primes, familiarly known as smooth numbers. Smooth n...
Let a0 ∈ {0, . . . , 9}. We show there are infinitely many prime numbers which do not have the digit...
© 2016, Pleiades Publishing, Ltd.An integer number n > 0 is called y-smooth for y > 0 if any prime f...
For any positive integers k and m, and any /, 0 ≤ / 0 such that any sufficiently large integer x ca...
Let a0∈{0,…,9}. We show there are infinitely many prime numbers which do not have the digit a0 in...
AbstractFor any positive integers k and m, and any l, 0 ≤ l < m, we show that there is a number β = ...
International audienceWe study the distribution of those integers all of whose prime power divisors ...
This research paper is to define new rule to find the divisibility of stream of binary on any prime ...
Let q be a sufficiently large integer, and a0∈{0,…,q−1}. We show there are infinitely many prime nu...
Knowledge about fractals, Nested Patterns, Number Bases and Number TheoryThe number of digits in the...
Güntzer and Paul introduced a number system with base 2 and digits −1, 0, 1 which is characterized b...
AbstractIn a recent paper, K. Soundararajan showed, roughly speaking, that the integers smaller than...
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