Unpublished paper, 'On the mysteries of numbers alluded to by Fermat' by [Jonathan] Frederick Pollock

Reference number: AP/48/7

Date: 19 March 1866

Description

This paper is presented as a continuation of one which appeared in Philosophical Transactions as 'On Fermat's theorem of the polygonal numbers', and the object of it is to call attention to certain properties of odd numbers when placed in a square, according to an arrangement explained by Pollock.

Annotations in pencil and ink throughout. Includes seven pages of diagrams including grids of prime numbers illustrating Pollock's theories.

Subject: Mathematics

Received 19 March 1866. Read 19 April 1866.

Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 15 of Proceedings of the Royal Society as 'On the mysteries of numbers alluded to by Fermat'.

Reference number: AP/48/7
Earliest possible date: 19 March 1866
Physical description: Ink and graphite pencil on paper
Page extent: 42 pages
Format: Diagram
Manuscript

Creator name

Jonathan Frederick Pollock

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Citation

Jonathan Frederick Pollock, Unpublished paper, 'On the mysteries of numbers alluded to by Fermat' by [Jonathan] Frederick Pollock, 19 March 1866, AP/48/7, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/ap_48_7/unpublished-paper-on-the-mysteries-of-numbers-alluded-to-by-fermat-by-jonathan-frederick-pollock, accessed on 06 December 2024

Link to this record

https://makingscience.royalsociety.org/items/ap_48_7/unpublished-paper-on-the-mysteries-of-numbers-alluded-to-by-fermat-by-jonathan-frederick-pollock

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Related Publications

XXI. On Fermat's theorem of the polygonal numbers External link, opens in new tab.

Date: 31st December 1861

DOI: 10.1098/rstl.1861.0022
On the mysteries of numbers alluded to by Fermat External link, opens in new tab.

Date: 31st December 1867

DOI: 10.1098/rspl.1866.0029

Related Records

Unpublished paper, 'Certain properties of the arithmetical series, whose 1st, 2nd etc differences are constant; including Fermat's theorem of the polygonal numbers, and some other properties of numbers' by Sir Frederick Pollock
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Unpublished paper, 'On the extension of the principle of Fermat's theorem (of the polygonal numbers) to the higher orders of series whose ultimate differences are constant - with a new theorem proposed, applicable to all the orders' by Frederick Pollock
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Referee's report by Arthur Cayley, on a paper 'On the mysteries of numbers alluded to by Fermat' by Jonathan Frederick Pollock
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Referee's report by Arthur Cayley, on a paper 'On the mysteries of numbers alluded to by Fermat' by Sir Jonathan Frederick Pollock, 1st Baronet
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Hierarchy

This item is part of:

Archived Papers
1768-1989 Reference number: AP
Archived papers: volume 48, scientific papers submitted the Royal Society unpublished or abstracted, 1865-1866
1865-1866 Reference number: AP/48

Related Fellows

Jonathan Frederick Pollock
Author

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Archived Papers

Dates: 1768-1989

The 'Archived Papers' collection is comprised of original manuscript scientific papers and letters submitted to the Royal Society which remained unpublished or were abstracted in the journal 'Proceedings of the Royal Society' published from 1830 onwards.

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