Search Results for: 11A41

Valuations, arithmetic progressions, and prime numbers

Shin-ichiro Seki Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 128—132 DOI: 10.7546/nntdm.2018.24.4.128-132 Download full paper: PDF, 156 Kb Details Authors and affiliations Shin-ichiro Seki Mathematical Institute, Tohoku University … Continue reading

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Some characteristics of primes within modular rings

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 9, 2003, Number 3, Pages 49—58 Download full paper: PDF, 3999 Kb Details Authors and affiliations J. V. Leyendekkers The University of Sydney, … Continue reading

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An extension of Euler’s prime-generating function

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 10, 2004, Number 4, Pages 100—105 Download full paper: PDF, 90 Kb Details Authors and affiliations J. V. Leyendekkers The University of Sydney, … Continue reading

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The arithmetic derivative and Leibniz-additive functions

Pentti Haukkanen, Jorma K. Merikoski and Timo Tossavainen Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 68—76 DOI: 10.7546/nntdm.2018.24.3.68-76 Download full paper: PDF, 162 Kb Details Authors and affiliations … Continue reading

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One more disproof for the Legendre’s conjecture regarding the prime counting function 𝜋(𝑥)

Reza Farhadian and Rafael Jakimczuk Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 84—91 DOI: 10.7546/nntdm.2018.24.3.84-91 Download full paper: PDF, 187 Kb Details Authors and affiliations Reza Farhadian Department … Continue reading

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Fermat and Mersenne numbers

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 11, 2005, Number 4, Pages 17—24 Download full paper: PDF, 114 Kb Details Authors and affiliations J. V. Leyendekkers The University of Sydney, … Continue reading

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Fermat’s theorem on binary powers

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 11, 2005, Number 2, Pages 13—22 Download full paper: PDF, 118 Kb Details Authors and affiliations J. V. Leyendekkers The University of Sydney, … Continue reading

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Prime grids in the modular ring Z6

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 11, 2005, Number 1, Pages 23—28 Download full paper: PDF, 42 Kb Details Authors and affiliations J. V. Leyendekkers The University of Sydney, … Continue reading

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Quotients of primes in an algebraic number ring

Brian D. Sittinger Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 55–62 DOI: 10.7546/nntdm.2018.24.2.55-62 Download full paper: PDF, 191 Kb Details Authors and affiliations Brian D. Sittinger Department of … Continue reading

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The system of prime coordinates assigned to the positive integers

Silviu Guiasu Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 1—5 DOI: 10.7546/nntdm.2018.24.2.1-5 Download full paper: PDF, 136 Kb Details Authors and affiliations Silviu Guiasu Department of Mathematics and … Continue reading

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