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Primitive Root Bias for Twin Primes



Diophantine $$\mathcal{S} $$S-quadruples with two primes which are twin


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Twin prime correlations from the pair correlation of Riemann zeros



Twin prime correlations from the pair correlation of Riemann zeros


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On the Connection Between the Goldbach Conjecture and the Elliott-Halberstam Conjecture



Multiplicative functions on shifted primes



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Bounds in Twin Prime Distribution



Integral points on the elliptic curve Epq: y2 = x3 + (pq − 12) x − 2(pq − 8)


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A Solution to the Famous “Twin’s Problem”



Proof of Twin Prime Conjecture


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10.3390/math7050400

Predicting maximal gaps in sets of primes


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10.1007/S11537-019-1837-Z

The twin prime conjecture


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10.1007/978-3-030-14799-0_60

Approximate Outputs of Accelerated Turing Machines Closest to Their Halting Point


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10.1016/j.jnt.2019.08.003

Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function


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10.1007/S13226-019-0329-4

Integral points on the elliptic curve Epq: y2 = x3 + (pq − 12) x − 2(pq − 8)


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10.12921/cmst.2019.0000033

On the Asymptotic Density of Prime k-tuples and a Conjecture of Hardy and Littlewood


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10.1016/j.dam.2018.08.005

Prime power and prime product distance graphs


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10.1103/PhysRevLett.122.090201

Simple Wave-Optical Superpositions as Prime Number Sieves.


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10.4236/apm.2019.99038

A Solution to the Famous “Twin’s Problem”


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10.1007/978-3-030-03661-4_2

Design of Pseudorandom Signals for Linear System Identification


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10.3390/sym11060775

An Investigation on the Prime and Twin Prime Number Functions by Periodical Binary Sequences and Symmetrical Runs in a Modified Sieve Procedure


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10.32871/RMRJ1806.02.05

An Analytic Approximation to the Density of Twin Primes


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10.15580/GJSETR.2019.1.040919068

Even numbers are the sum of two prime numbers


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10.20944/PREPRINTS201908.0207.V1

Proof of Twin Prime Conjecture


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10.1007/s00026-019-00469-0

Twin Composites, Strange Continued Fractions, and a Transformation that Euler Missed (Twice)


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10.11648/J.SI.20190702.11

Study on the Infinity of Twin Primes by Applying Sundaram’s Sieve Method


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10.11648/J.IJAMTP.20190503.15

A Proof on the Conjecture of Twin Primes


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