307 (number): Difference between revisions
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==In mathematics== |
==In mathematics== |
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*307 is an odd [[prime number]] with one prime factor, being itself.<ref>{{Cite web |url=https://mathworld.wolfram.com/PrimeNumber.html|title=Prime number information|website=mathworld.wolfram.com}}</ref> |
*307 is an odd [[prime number]] with one prime factor, being itself.<ref>{{Cite web |url=https://mathworld.wolfram.com/PrimeNumber.html|title=Prime number information|website=mathworld.wolfram.com}}</ref> |
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*307 is a [[Chen prime]] number meaning that 309 is either [[Prime number|prime]] or [[semiprime]].<ref>{{Cite OEIS|A109611|Chen primes: primes p such that p + 2 is either a prime or a semiprime}}</ref> |
*307 is a [[Chen prime]] number meaning that 309 is either [[Prime number|prime]] or [[semiprime]].<ref>{{Cite OEIS|A109611|Chen primes: primes p such that p + 2 is either a prime or a semiprime}}</ref><ref>{{Cite web|url=https://arxiv.org/pdf/1601.02873.pdf|website=arxiv.org|title=Chen primes in arithmetic progressions|first=Pawel|last=Lewulis}}</ref> |
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*307 is the number of one-sided [[Polyiamond|octiamonds]] meaning that it is the number of ways to organize 8 triangles with each one touching at least one other on the edge.<ref>{{Cite OEIS|A006534|Number of one-sided triangular polyominoes (n-iamonds) with n cells; turning over not allowed, holes are allowed}}</ref> |
*307 is the number of one-sided [[Polyiamond|octiamonds]] meaning that it is the number of ways to organize 8 triangles with each one touching at least one other on the edge.<ref>{{Cite OEIS|A006534|Number of one-sided triangular polyominoes (n-iamonds) with n cells; turning over not allowed, holes are allowed}}</ref> |
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*307 is the third non-palindromic number to have a [[Palindromic number|palindromic]] [[square number|square]]. 307<sup>2</sup>=94249.<ref>{{Cite OEIS|A028818|Palindromic squares with odd number of digits and non-palindromic and "non-core" square roots}}</ref> |
*307 is the third non-palindromic number to have a [[Palindromic number|palindromic]] [[square number|square]]. 307<sup>2</sup>=94249.<ref>{{Cite OEIS|A028818|Palindromic squares with odd number of digits and non-palindromic and "non-core" square roots}}</ref> |
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Revision as of 00:37, 7 November 2023
 | This article, 307 (number), has recently been created via the Articles for creation process. Please check to see if the reviewer has accidentally left this template after accepting the draft and take appropriate action as necessary.
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| This article, 307 (number), has recently been created via the Articles for creation process. Please check to see if the reviewer has accidentally left this template after accepting the draft and take appropriate action as necessary.
Reviewer tools: Inform author |
| This article, 307 (number), has recently been created via the Articles for creation process. Please check to see if the reviewer has accidentally left this template after accepting the draft and take appropriate action as necessary.
Reviewer tools: Inform author |
Comment: First ref doesn't mention the subject and all the others are merely passing mentions. Stuartyeates (talk) 20:41, 4 November 2023 (UTC)
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|---|---|---|---|---|
| Cardinal | three hundred seven | |||
| Ordinal | 307th (three hundred seventh) | |||
| Factorization | prime | |||
| Divisors | 1, 307 | |||
| Greek numeral | ||||
| Roman numeral | CCCVII | |||
| Binary | 1001100112 | |||
| Ternary | 1021013 | |||
| Senary | 12316 | |||
| Octal | 4638 | |||
| Duodecimal | 21712 | |||
| Hexadecimal | 13316 | |||
307 is the natural number following 306 and preceding 308.
In mathematics
- 307 is an odd prime number with one prime factor, being itself.[1]
- 307 is a Chen prime number meaning that 309 is either prime or semiprime.[2][3]
- 307 is the number of one-sided octiamonds meaning that it is the number of ways to organize 8 triangles with each one touching at least one other on the edge.[4]
- 307 is the third non-palindromic number to have a palindromic square. 3072=94249.[5]
- 307 is a central polygonal number meaning that it follows the equation x2-n+1[6]
Other fields
- The calendar years 307 AD and 307 BC.
- 301 is the number for several highways across the countries of Brazil, Canada, China, Costa Rica, India, Japan, Mexico, the Philippines, the United Kingdom, and the United States.
References
- ^ "Prime number information". mathworld.wolfram.com.
- ^ Sloane, N. J. A. (ed.). "Sequence A109611 (Chen primes: primes p such that p + 2 is either a prime or a semiprime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Lewulis, Pawel. "Chen primes in arithmetic progressions" (PDF). arxiv.org.
- ^ Sloane, N. J. A. (ed.). "Sequence A006534 (Number of one-sided triangular polyominoes (n-iamonds) with n cells; turning over not allowed, holes are allowed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A028818 (Palindromic squares with odd number of digits and non-palindromic and "non-core" square roots)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002061". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.