Results 11 to 20 of about 10,503 (288)

Twin primes via exceptional characters [PDF]

Banach Center Publications, 2019
11 ...
Friedlander, John B., Iwaniec, Henryk
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An Analytic Approximation to the Density of Twin Primes

Recoletos Multidisciplinary Research Journal, 2018
The highly irregular and rough fluctuations of the twin primes below or equal to a positive integer x are considered in this study. The occurrence of a twin prime on an interval [0,x] is assumed to be random.
Dionisel Y. Regalado, Rodel Azura
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Restriction theory of the Selberg sieve, with applications [PDF]

, 2004
The Selberg sieve provides majorants for certain arithmetic sequences, such as the primes and the twin primes. We prove an L^2-L^p restriction theorem for majorants of this type.
Green, Ben, Tao, Terence
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Twin Prime Conjecture - Proof that there are infinite twin primes. [PDF]

, 2021
We determine that twin primes are not random within specific range of number series. Within the range, they are part of an infinite repeating cycle within the series. The repeating cycles of this series is symmetrical and that range is part of one such cycle. We can also determine where in the repeating cycle this range is located.
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New estimations for numerical analysis approach to twin primes conjecture [PDF]

Notes on Number Theory and Discrete Mathematics
This paper provides a better approximation of the functions presented in the article “Numerical Analysis Approach to Twin Primes Conjecture” (see [3]).
Gabriele Di Pietro
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Gaps of size 2, 4, and (conditionally) 6 between successive odd composite numbers occur infinitely often [PDF]

Notes on Number Theory and Discrete Mathematics
The infinite sequence of gaps (first differences) between successive odd composite numbers contains only the numbers 2, 4, and 6. We prove that, for any natural number k, the sequence of gaps contains infinitely many k-tuplets of consecutive gaps all ...
Joel E. Cohen, Dexter Senft
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On the numbers that determine the distribution of twin primes [PDF]

Surveys in Mathematics and its Applications, 2018
This paper is about a class of numbers indirectly connected to the twin primes, which have not been investigated so far. With the help of these numbers, we look at the set of twin primes from a different perspective and bring the reader's attention to ...
Antonie Dinculescu
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On the twin-prime problem, II [PDF]

Acta Arithmetica, 1967
The twin-prime problem, which was stated by LANDAU in his Cambridge-Congress lecture in 1912 as the second main problem of the analytical number theory asks whether or not there exists an infinity of prime-pairs (p, q) with p - q = 2 or more generally with p - q = 2l (l fixed integer).
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Equisum Partitions of Sets of Positive Integers

Algorithms, 2019
Let V be a finite set of positive integers with sum equal to a multiple of the integer b . When does V have a partition into b parts so that all parts have equal sums?
Roger B. Eggleton
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Largest known twin primes [PDF]

Mathematics of Computation, 1996
The numbers 697053813 ⋅ 2 16352 ± 1 697053813\cdot 2^{16352}\pm 1 are twin primes.
Indlekofer, Karl-Heinz, Járai, Antal
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