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Elliptic Twin Prime Conjecture

2009
Motivated by a recent application to hash functions suggested by O. Chevassut, P.-A. Fouque, P. Gaudry and D. Pointcheval, we study the frequency with which both an elliptic curve over a finite field, and its quadratic twist are cryptographically suitable.
John B. Friedlander, Igor E. Shparlinski
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Arithmetical approach to the twin primes conjecture

ANNALI DELL'UNIVERSITA' DI FERRARA, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Isolated primes, the twin prime conjecture, and prime number generation.

The paper is devoted to the study of the hypothesis of twin prime numbers and its connection with the problem of distribution of prime numbers. It considers the claim that there are infinite pairs of prime numbers differing by 2, and analyzes recent advances in this area, including the work of Yang Zhang (2013) and the Polymath Project, which reduced ...
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Detailed Proof of the Twin Prime Conjecture

Our article, titled "Detailed Proof of the Twin Prime Conjecture," presents a complete and rigorous proof of this famous conjecture in number theory. The work undertaken to achieve this followed a methodical and in-depth approach: Problem Reformulation: We first reformulated the conjecture by linking it to a specific divisibility condition ...
KEMAYOU TCHAPTCHIE, Boris   +1 more
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Twin Prime Conjecture (TP) 2nd Way

Twin Prime Conjecture (TP) 2nd Way Author: Taha M. Muhammad/ USA Kurd Iraq TP: There are infinitely many pairs of prime numbers that differ by 2 Taha’s Lemma of Twin Primes (TLTP): For every odd composite number (n), there exists an even step (2t), t∈N_+ such that p = n + 2t, q = n +2t + 2 , (p, q) ∈TP.
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