Is there a proof for the (non)existence of a formula for prime numbers?

[question]

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We discuss about whether it is possible or not to prove or disprove the existence of a formula for the prime numbers.

https://doi.org/10.31219/osf.io/sb7td

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 167, 2020 [GO]

Transdenumerability of the reals

[white paper]

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We show that the real numbers are transdenumerable by setting a one to one map with the set of the transfinite ordinals introduced by Cantor.

https://doi.org/10.31219/osf.io/fu7bx

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 156, 2020 [GD]

A unidimensional windmill in the plane with varying pivot points

[white paper]

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We show that we can choose a point in the plane such that the resulting windmill process with varying pivot uses each point of the plane infinitely many times.

https://doi.org/10.31219/osf.io/mwkaf

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 148, 2020 [FT]

Call for co-signing a paper: Increasing collaboration, fostering open science, and sharing the Article Processing Charge (APC)

[white paper]

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We argue that sharing one’s research with citizens and other scientists is a win-win crowd science strategy.

https://doi.org/10.31219/osf.io/62x8h

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 141, 2020 [FM]

Open Science done right

[white paper]

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A chain of simultaneous actions to foster open science is proposed.

https://doi.org/10.31219/osf.io/sa28u

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 140, 2020 [FL]

Roads to the Planck scale

[white paper]

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A summary of a few roads exploring the Planck scale is presented. We consider both Newtonian and relativistic systems.

https://doi.org/10.31219/osf.io/2cdwb

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 138, 2020 [FI]

A subgroup has equally many left and right cosets

[microreview]

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We prove that a subgroup has the same number of left and right cosets.

https://doi.org/10.31219/osf.io/t4snh

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 137, 2020 [FH]

Do extra dimensions explain entanglement?

[white paper]

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We invite collaborators to co-author this white paper in order to collect scientific evidence connecting extra dimensions and entanglement.

https://doi.org/10.31219/osf.io/uvgaj

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 134, 2020 [FE]

On the arithmetic of automated theorem proving

[white paper]

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We propose a model to assign prime numbers to axioms and theorems, then by comparing equivalent numbers, it results in new equivalent theorems.

https://doi.org/10.31219/osf.io/wbf85

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 132, 2020 [FC]

ISDN: International Standard Database Number (white paper)

[white paper]

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We propose a new numeric identifier, dubbed International Standard Database Number (ISDN) to devise a new ecosystem of scientific publications based on databases and curated by specialists.

https://doi.org/10.31219/osf.io/3c6fe

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 131, 2020 [FB]