1 (number): Difference between revisions

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== Behind the scenes ==
== Behind the scenes ==
Though [[AUDIO]]: ''[[The Haunting (audio story)|The Haunting]]'' establishes that 1 is itself considered a prime number in the [[DWU]], this is a point of contention among mathematicians.
Though [[AUDIO]]: ''[[The Haunting (audio story)|The Haunting]]'' establishes that 1 is itself considered a prime number in the [[DWU]], this is a point of contention among mathematicians. It would certainly have been considered a prime, in the story's time period of the [[1890s]]. In particular, the entry for ''Number'' published in 1890 in the 9th edition of ''[[Encyclopædia Britannica]]'' stated that every positive number was either prime or composite, and explicitly listed 1 as prime.<ref>A. Reddick ''et al''. The History of the Primality of One---A Selection of Sources. Accessed at http://primes.utm.edu/notes/one.pdf on 7.12.2015.</ref> Nowadays, in the 21st century, 1 is instead generally considered as neither prime nor composite.  To further complicate real-world existence of 1 as a number, there have even been periods of time - like Ancient Greek era - where 1 was in fact ''not even considered a number''.<ref>[https://books.google.co.uk/books?id=cUPXqSb7V1wC&pg=PA35&redir_esc=y#v=onepage&q&f=false Speusippus of Athens: A Critical Study With a Collection of the Related Texts and Commentary, Leonardo Tarán, 1981] (pgs 34-38)</ref> This included notable mathematicians like Aristotle and Euclid.<ref>"What is the smallest Prime?", Chris K. Caldwell & Yeng Xiong; published in Journal of Integer Sequences Vol. 15 (2012)</ref>
 
Generally, 1 is considered neither prime nor composite. It would certainly have been considered a prime, however, in the story's time period of the [[1890s]]. In particular, the entry for ''Number'' published in 1890 in the 9th edition of ''[[Encyclopædia Britannica]]'' stated that every positive number was either prime or composite, and explicitly listed 1 as prime.<ref>A. Reddick ''et al''. The History of the Primality of One---A Selection of Sources. Accessed at http://primes.utm.edu/notes/one.pdf on 7.12.2015.</ref>


Though unremarked in [[PROSE]]: ''[[Daisy Chain (short story)|Daisy Chain]]'', 1 is also the first and second [[Fibonacci number]].
Though unremarked in [[PROSE]]: ''[[Daisy Chain (short story)|Daisy Chain]]'', 1 is also the first and second [[Fibonacci number]].

Revision as of 18:57, 18 October 2021

1 (number)
You may wish to consult One for other, similarly-named pages.

1 was a prime number. (AUDIO: The Haunting)

According to the Tenth Doctor, "any number that reduce[d] to 1 when you [took] the sum of the square of its digits and continue[d] iterating it until it yield[ed] 1" was a happy number. (TV: 42)

Part of the demonstration made by the Twelfth Doctor. (TV: The Pilot)

The Twelfth Doctor once proved that . (TV: The Pilot)

Block Transfer Computation made use of 1s and 0s, as it was written in binary. (AUDIO: The Enchantress of Numbers)

According to the Second Doctor, a one in 13 chance was about 7.6923 percent, odds he didn't like. (COMIC: Card Conundrum)

The Twelfth Doctor once told Bill that "eleven plus two" was an anagram of "twelve plus one", to which Bill responded that both of these were equal to 13. (COMIC: Harvest of the Daleks)

Behind the scenes

Though AUDIO: The Haunting establishes that 1 is itself considered a prime number in the DWU, this is a point of contention among mathematicians. It would certainly have been considered a prime, in the story's time period of the 1890s. In particular, the entry for Number published in 1890 in the 9th edition of Encyclopædia Britannica stated that every positive number was either prime or composite, and explicitly listed 1 as prime.[1] Nowadays, in the 21st century, 1 is instead generally considered as neither prime nor composite. To further complicate real-world existence of 1 as a number, there have even been periods of time - like Ancient Greek era - where 1 was in fact not even considered a number.[2] This included notable mathematicians like Aristotle and Euclid.[3]

Though unremarked in PROSE: Daisy Chain, 1 is also the first and second Fibonacci number.

Footnotes

  1. A. Reddick et al. The History of the Primality of One---A Selection of Sources. Accessed at http://primes.utm.edu/notes/one.pdf on 7.12.2015.
  2. Speusippus of Athens: A Critical Study With a Collection of the Related Texts and Commentary, Leonardo Tarán, 1981 (pgs 34-38)
  3. "What is the smallest Prime?", Chris K. Caldwell & Yeng Xiong; published in Journal of Integer Sequences Vol. 15 (2012)