ARTICLE

doi:10.20944/preprints202402.1108.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime numbers; Riemann Hypothesis; analytic functions; trigonometric functions
Online: 20 February 2024 (08:49:02 CET)
ARTICLE

doi:10.20944/preprints202106.0416.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
Prime Number; Prime Numbers Distribution; Prime Number Generation; Normal Distribution
Online: 15 June 2021 (15:58:34 CEST)
ARTICLE

doi:10.20944/preprints202407.2314.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Prime numbers; Composite numbers; 6n±; 1
Online: 30 July 2024 (00:07:38 CEST)
ARTICLE

doi:10.20944/preprints202006.0196.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime number; sphenic number; The Distribution of Prime Numbers
Online: 16 June 2020 (07:36:38 CEST)
ARTICLE

doi:10.20944/preprints201905.0036.v3
Online: 4 June 2019 (11:12:53 CEST)
ARTICLE

doi:10.20944/preprints202112.0249.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
composite number; composite numbers distribution; composite numbers generation; prime number
Online: 24 December 2021 (07:36:30 CET)
ARTICLE

doi:10.20944/preprints202409.0541.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime numbers; Riemann's hypothesis; three numbers 3; 6; 9
Online: 11 September 2024 (15:29:13 CEST)
ARTICLE

doi:10.20944/preprints202401.1533.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
number theory; twin prime conjecture; gocgen approach; prime numbers
Online: 22 January 2024 (10:08:26 CET)
ARTICLE

doi:10.20944/preprints202303.0065.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime numbers; composite numbers; primecomposite relationship; formula of composite; formula of all composite; formula of all odd composite
Online: 3 March 2023 (09:13:27 CET)
ARTICLE

doi:10.20944/preprints202408.0348.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann hypothesis; Robin's criterion; superabundant numbers; prime numbers
Online: 13 August 2024 (05:32:52 CEST)
ARTICLE

doi:10.20944/preprints202308.0928.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Prime ring; prime ideal; derivation; symmetric nderivation; symmetric generalized nderivation
Online: 11 August 2023 (09:53:22 CEST)
ARTICLE

doi:10.20944/preprints202110.0087.v9
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Sieve of Eratosthenes; Goldbach conjecture; Polignac conjecture; Twin Prime conjecture
Online: 18 August 2022 (03:53:01 CEST)
ARTICLE

doi:10.20944/preprints202104.0017.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
set partitions; Stirling numbers of the second kind; harmonic numbers; prime number distribution; Riemann hypothesis; Gumbel distribution
Online: 1 April 2021 (12:43:50 CEST)
ARTICLE

doi:10.20944/preprints202410.0547.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Odd Perfect Numbers; Divisor Sum Function; Prime Numbers; Natural Logarithms
Online: 8 October 2024 (11:18:14 CEST)
ARTICLE

doi:10.20944/preprints202406.1296.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Prime Numbers, Infinitude of Primes, Euclid's theorem, Proof of Euclid's theorem, Proof of Infinitude of Primes, Set Theory, Proof by Contradiction.
Online: 19 June 2024 (11:17:14 CEST)
ARTICLE

doi:10.20944/preprints202408.1416.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
circulant matrix; prime number; the Goldbach conjecture; the ternary Goldbach conjecture
Online: 28 October 2024 (02:15:03 CET)
ARTICLE

doi:10.20944/preprints202009.0742.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Prime numbers; lemmas and theorems; Fermat’s factorization method; sieve
Online: 30 September 2020 (12:12:58 CEST)
ARTICLE

doi:10.20944/preprints202205.0207.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime numbers; galactic spiral equations; ROTASE model; phyllotaxis; sunflower seed head
Online: 16 May 2022 (11:04:46 CEST)
ARTICLE

doi:10.20944/preprints201811.0301.v8
Subject:
Computer Science And Mathematics,
Logic
Keywords:
Brocard's problem; BrocardRamanujan equation $x!+1=y^2$; composite Fermat numbers; Erd\"os' equation $x(x+1)=y!$; prime numbers of the form $n^2+1$; prime numbers of the form $n!+1$; Sophie Germain primes; twin primes
Online: 5 June 2019 (08:37:55 CEST)
ARTICLE

doi:10.20944/preprints202401.0472.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(m; n)prime ideal; (m; n)closed ideal; nabsorbing ideal; avoidance theorem
Online: 5 January 2024 (14:21:25 CET)
ARTICLE

doi:10.20944/preprints202306.0163.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Derivation; *centralizing derivation; *commuting derivation; involution; prime ideal; prime ring; semiprime ring
Online: 2 June 2023 (08:59:17 CEST)
ARTICLE

doi:10.20944/preprints202402.1484.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(m,n)closed ideals, (m,n)prime ideals, (m,n)closed submodules, nabsorbing submodules
Online: 26 February 2024 (15:33:56 CET)
ARTICLE

doi:10.20944/preprints202404.1559.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Jesmanowicz conjecture; Diophantine equation; Gaussian integer ring; 4k+1 type prime number
Online: 24 April 2024 (09:32:50 CEST)
ARTICLE

doi:10.20944/preprints202312.1012.v9
Subject:
Physical Sciences,
Fluids And Plasmas Physics
Keywords:
Turbulence; fractal; anomalous dissipation; fixed point; velocity circulation; loop equations; Euler Phi; prime numbers; Fermi particles; instanton
Online: 12 April 2024 (14:39:31 CEST)
ARTICLE

doi:10.20944/preprints201703.0121.v2
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Riemann Hypothesis; Dirichlet eta function; Zeta function; prime numbers; number theory; criticalline; criticalstrip; symmetry breaking
Online: 22 March 2017 (04:48:57 CET)
ARTICLE

doi:10.20944/preprints202403.1214.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
FeitThompson conjecture; prime numbers; mathematical research; research education; twin primes, generalized twin prime conjecture
Online: 21 March 2024 (01:53:40 CET)
ARTICLE

doi:10.20944/preprints202407.1276.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; prime counting function; Prime Number Theorem; Error Estimates; HigherDegree Polynomials; weighted sums; logarithmic weighted sums
Online: 20 August 2024 (08:42:50 CEST)
ARTICLE

doi:10.20944/preprints202109.0097.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Prime counting function Supremum/Infimum; prime numbers distribution; Ramanujan Interval; Ramanujan primes
Online: 6 September 2021 (13:21:06 CEST)
ARTICLE

doi:10.20944/preprints202409.1568.v1
Subject:
Physical Sciences,
Quantum Science And Technology
Keywords:
prime numbers; short intervals; stochastic model; prime number theorem; statistical properties; quantum physics; energy levels
Online: 20 September 2024 (09:43:14 CEST)
ARTICLE

doi:10.20944/preprints202402.1638.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
integers; ; Diophantine Equation; prime number
Online: 28 February 2024 (13:55:57 CET)
ARTICLE

doi:10.20944/preprints202006.0365.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Cramer`s conjecture; distribution of primes; elementary proof of the Riemann's Hypothesis; Landau problems; Legendre conjecture; Littlewood`s proof of 1914; logarithmic integral; maximal prime gaps; Prime Number Theorem; Tailored logarithmic integral; prime counting function Supremum; prime counting function Infimum.
Online: 6 July 2021 (11:32:03 CEST)
ARTICLE

doi:10.20944/preprints202408.1161.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime gaps; prime numbers; square root; inequality
Online: 12 September 2024 (10:56:11 CEST)
ARTICLE

doi:10.20944/preprints202301.0393.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Pseudoprime spectrum; Zariski topology; spectral hyperspace
Online: 23 January 2023 (02:25:32 CET)
ARTICLE

doi:10.20944/preprints202108.0479.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Graded weakly prime ideals; graded Sprime ideals; graded weakly Sprime ideals.
Online: 25 August 2021 (08:39:01 CEST)
ARTICLE

doi:10.20944/preprints202405.0952.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
CatalanMersenne conjecture; Mersenne prime; double Mersenne prime
Online: 14 May 2024 (13:53:44 CEST)
ARTICLE

doi:10.20944/preprints202403.1718.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
algebraic methods,quintic problem,Diophantine equation ,prime number
Online: 28 March 2024 (09:35:31 CET)
ARTICLE

doi:10.20944/preprints202006.0366.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Cramer's conjecture; elementary proof; Firoozbakht's conjecture; Farideh Firoozbakht; Legendre conjecture; maximal prime gaps Supremum; prime gaps
Online: 30 June 2020 (10:32:40 CEST)
ARTICLE

doi:10.20944/preprints202410.1262.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Prime numbers; Prime Number Theorem; binary Goldbach conjecture; LagrangeLemoineLevy conjecture; BezoutGoldbach conjecture; gaps between consecutive primes
Online: 16 October 2024 (11:45:13 CEST)
ARTICLE

doi:10.20944/preprints202109.0480.v9
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fermat’ s equation; prime numbers; coprime integers; Fermat’ s little theorem
Online: 26 September 2024 (12:15:52 CEST)
REVIEW

doi:10.20944/preprints202404.0435.v2
Subject:
Biology And Life Sciences,
Plant Sciences
Keywords:
CRISPRCas system; crop improvement; genome engineering; prime editing
Online: 7 June 2024 (15:06:37 CEST)
ARTICLE

doi:10.20944/preprints202408.0451.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Ramanujan; Prime counting function; Chebyshev Theta function; Mathematica; Primes
Online: 22 August 2024 (02:51:25 CEST)
ARTICLE

doi:10.20944/preprints201707.0017.v1
Subject:
Computer Science And Mathematics,
Computer Vision And Graphics
Keywords:
prime graph; simple group; orthogonal groups; quasirecognition
Online: 10 July 2017 (09:01:04 CEST)
ARTICLE

doi:10.20944/preprints202310.0799.v1
Subject:
Biology And Life Sciences,
Immunology And Microbiology
Keywords:
primeprotein booster; recombinant BCG; vaccine; tuberculosis
Online: 13 October 2023 (02:55:37 CEST)
BRIEF REPORT

doi:10.20944/preprints202407.1823.v1
Subject:
Biology And Life Sciences,
Biology And Biotechnology
Keywords:
6′ sialyllactose; exercise performance; muscle strength; muscle mass
Online: 24 July 2024 (02:40:23 CEST)
ARTICLE

doi:10.20944/preprints202312.1618.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
riemann hypothesis; prime numbers; infinite power series; number theory
Online: 21 December 2023 (08:06:19 CET)
SHORT NOTE

doi:10.20944/preprints202002.0379.v9
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann hypothesis; Nicolas theorem; prime numbers; Chebyshev function
Online: 14 October 2021 (14:15:38 CEST)
ARTICLE

doi:10.20944/preprints202402.0588.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
number theory, twin prime conjecture, gocgen approach, prime numbers, zeta function
Online: 9 February 2024 (11:57:30 CET)
ARTICLE
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime; contradiction; greater than; integer
Online: 27 May 2020 (07:55:07 CEST)
ARTICLE

doi:10.20944/preprints201907.0159.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime; contradiction; greater than; natural number
Online: 15 July 2019 (06:30:26 CEST)
ARTICLE

doi:10.20944/preprints202409.2235.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Goldbach Conjecture; Prime Numbers; Mathematical Proof; Number Theory; Odd Prime Numbers; Composite Numbers
Online: 29 September 2024 (11:16:11 CEST)
ARTICLE

doi:10.20944/preprints202210.0420.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime number; periodicity; Goldbach Conjecture; proof
Online: 27 October 2022 (03:49:54 CEST)
ARTICLE

doi:10.20944/preprints202404.0492.v1
Subject:
Medicine And Pharmacology,
Clinical Medicine
Keywords:
MALDITOF mass spectrometry; VITEK MS PRIME; PICKME; filamentous fungi; yeast; bacteria
Online: 8 April 2024 (08:19:41 CEST)
ARTICLE

doi:10.20944/preprints202403.0732.v1
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
generating functions; integer partitions; prime number; the Goldbach conjecture
Online: 12 March 2024 (15:43:33 CET)
BRIEF REPORT

doi:10.20944/preprints202305.0953.v2
Subject:
Social Sciences,
Psychology
Keywords:
Money; Money prime; Credibility judgment; Deception detection; Lie and truth classification
Online: 19 January 2024 (10:01:30 CET)
ARTICLE

doi:10.20944/preprints202411.0123.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
primes; polynomials; primegeneration; cryptography
Online: 4 November 2024 (09:01:36 CET)
ARTICLE

doi:10.20944/preprints202103.0281.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Goldbach's conjecture; numbers prime; Arithmetic Theorem
Online: 12 March 2021 (11:29:49 CET)
ARTICLE

doi:10.20944/preprints202408.1612.v3
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Riemann hypothesis; prime numbers; sixdimensional space time
Online: 28 August 2024 (10:51:12 CEST)
ARTICLE

doi:10.20944/preprints202109.0486.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Sprime ideal; Sprimary ideal; weakly Sprime ideal; Snideal; weakly Snideal; weakly Sprimary ideal
Online: 29 September 2021 (10:31:20 CEST)
HYPOTHESIS

doi:10.20944/preprints202310.1050.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime numbers; riemann hypothesis; zeta function; analytic continuation; zeros
Online: 17 October 2023 (08:30:27 CEST)
ARTICLE

doi:10.20944/preprints202003.0145.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Gilbreath conjecture; Gilbreath sequence; Gilbreath equation; integer sequence; prime numbers; number theory
Online: 21 February 2023 (14:30:09 CET)
ARTICLE

doi:10.20944/preprints202207.0206.v1
Subject:
Biology And Life Sciences,
Immunology And Microbiology
Keywords:
primeboost immunization; tumor immunity; T cell memory; cytotoxic T cells; therapeutic vaccine
Online: 14 July 2022 (04:24:41 CEST)
ARTICLE

doi:10.20944/preprints202409.1002.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
number theory; cousin primes; product of cousin primes; prime products
Online: 12 September 2024 (14:09:37 CEST)
REVIEW

doi:10.20944/preprints202009.0490.v1
Subject:
Biology And Life Sciences,
Cell And Developmental Biology
Keywords:
base editing; prime editing; ABE; SCD; sickle cell disease; sickle cell anemia; CRISPR; Cas9
Online: 21 September 2020 (04:23:21 CEST)
ARTICLE

doi:10.20944/preprints202312.2321.v2
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Galactic spiral; Prime spiral; ROTASE model; Xmatter
Online: 4 January 2024 (07:24:36 CET)
REVIEW

doi:10.20944/preprints202011.0667.v1
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
Plant breeding; Genome editing; Molecular breeding; Prime editing; Base editing; CRISPR Cas; Epigenetics; Speed breeding
Online: 26 November 2020 (11:17:56 CET)
ARTICLE

doi:10.20944/preprints202311.1585.v1
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
prime editing; CRISPR/Cas9; gene editing; gene therapy; RYR1related diseases; neuromuscular diseases; RYR1 gene; mutations
Online: 24 November 2023 (08:51:01 CET)
ARTICLE

doi:10.20944/preprints202409.2040.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Riemann Zeta function; Riemann hypothesis; Fourier series; Gamma function; multiplicative inversion relationship in the complex plane. Euler product formula for prime numbers
Online: 26 September 2024 (03:58:01 CEST)
ARTICLE

doi:10.20944/preprints202309.0481.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Power integral bases; theorem of Ore; prime ideal factorization; common index divisor
Online: 7 September 2023 (07:08:03 CEST)
REVIEW

doi:10.20944/preprints202209.0117.v1
Subject:
Biology And Life Sciences,
Biology And Biotechnology
Keywords:
abiotic stress tolerance; base editing; CRISPR/Cas9; crop production; gene editing; prime editing
Online: 8 September 2022 (03:31:39 CEST)
ARTICLE

doi:10.20944/preprints202308.2042.v4
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Turbulence; Fractal; Anomalous dissipation; Fixed point; Velocity circulation; Loop Equations; Euler Phi; Prime numbers
Online: 18 September 2023 (13:56:35 CEST)
ARTICLE

doi:10.20944/preprints202409.1972.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann hypothesis; Robin's criterion; superabundant numbers; abundancy index function; prime numbers
Online: 29 October 2024 (05:15:00 CET)
ARTICLE

doi:10.20944/preprints202212.0072.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
beta prime distribution; Weibull distribution; mixture representations; information generating function; entropies; order statistics; Monte Carlo simulation; blood cancer disease
Online: 5 December 2022 (09:47:54 CET)
ARTICLE

doi:10.20944/preprints202408.1301.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime ideal; primary ideal; squaredifference factor absorbing ideal; squaredifference factor absorbing primary ideal
Online: 19 August 2024 (09:51:37 CEST)
CONCEPT PAPER

doi:10.20944/preprints202009.0723.v1
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
Glycogen Storage Disease Type 1a, Glucose6phosphatase Catalytic Subunit (G6PC), Glucose6phosphatase (G6Pase), prime editing, mRNA delivery, CRISPR
Online: 30 September 2020 (08:05:17 CEST)
ARTICLE

doi:10.20944/preprints201811.0098.v1
Subject:
Biology And Life Sciences,
Animal Science, Veterinary Science And Zoology
Keywords:
PUFA; oil; prime lamb; feedlot; carcass characteristics; live performance; oils; canola; flaxseed; safflower; rice bran
Online: 5 November 2018 (10:16:48 CET)
ARTICLE

doi:10.20944/preprints202108.0415.v1
Subject:
Computer Science And Mathematics,
Computational Mathematics
Keywords:
Intuitionist Fuzzy Normed Ring; Intuitionist fuzzy normed Ideal; Intuitionist Fuzzy Normed Point; Fuzzy Normed Prime Idea
Online: 20 August 2021 (12:48:41 CEST)
ARTICLE

doi:10.20944/preprints202309.1012.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
proof of Binary Golbdach conjecture; proof of Andrica conjecture; proof of Legendre conjecture; Goldbach partition semiprime; disproof of Riemann hypothesis; proof of twin prime conjecture
Online: 30 November 2023 (05:11:18 CET)
CONCEPT PAPER

doi:10.20944/preprints202404.1620.v4
Subject:
Biology And Life Sciences,
Biology And Biotechnology
Keywords:
microglial replacement; adenoassociated viral (AAV) vectors; COURIER; SPIT; base editing; prime editing
Online: 24 October 2024 (15:33:56 CEST)
ARTICLE

doi:10.20944/preprints202112.0423.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sums over primes; generalized alternating hyperharmonic numbers; asymptotic formula; numbers with $k$prime factors
Online: 27 December 2021 (11:10:43 CET)
REVIEW

doi:10.20944/preprints202312.2257.v1
Subject:
Biology And Life Sciences,
Plant Sciences
Keywords:
Pathogen Derived Resistance; RNA silencing; artificial miRNA; tasiRNA; Epigenetic editing; prime editing; Multiplexing CRISPR/Cas editing
Online: 29 December 2023 (05:55:13 CET)
REVIEW
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
synthetic biology; CRISPR; Cas9; biotechnology; biodesign; nickase; base editing; prime editing; genome editing; ethics; responsible innovation
Online: 1 October 2020 (08:38:22 CEST)