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==In mathematics== |
==In mathematics== |
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*307 is an odd [[prime number]].<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]].<ref>{{Cite web |url=https://mathworld.wolfram.com/PrimeNumber.html|title=Prime number information|website=mathworld.wolfram.com}}</ref> It is an isolated (i.e., not [[Twin prime|twin]]) prime,<ref>{{Cite OEIS|A007510|Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime}}</ref> but because 309 is a [[semiprime]], 307 is a [[Chen prime]].<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 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 00:19, 4 December 2023
An editor has nominated this article for deletion. You are welcome to participate in the deletion discussion, which will decide whether or not to retain it. |
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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.[1] It is an isolated (i.e., not twin) prime,[2] but because 309 is a semiprime, 307 is a Chen prime.[3][4]
- 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.[5]
- 307 is the third non-palindromic number to have a palindromic square. 3072=94249.[6]
Other fields
- The calendar years 307 AD and 307 BC.
- 307 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. For example the Bundesstraße 307 in Germany.
References
- ^ "Prime number information". mathworld.wolfram.com.
- ^ Sloane, N. J. A. (ed.). "Sequence A007510 (Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ 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.