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词条 223 (number)
释义

  1. In other fields

  2. References

{{Infobox number
| number = 223
| prime = Yes
}}

223 (two hundred [and] twenty-three) is the natural number between 222 and 224.

223 is a prime number.[1] It is the smallest prime for which the two nearest primes on either side of it are 16 units apart.[2] Among the 720 permutations of the numbers from 1 to 6, exactly 223 of them have the property that at least one of the numbers is fixed in place by the permutation and the numbers less than it and greater than it are separately permuted among themselves.[3]

In connection with Waring's problem, 223 requires the maximum number of terms (37 terms) when expressed as a sum of positive fifth powers, and is the only number that requires that many terms.[4]

In other fields

  • .223 Remington and .223 WSSM, firearm cartridges
  • The years 223 and 223 BC
  • The number of synodic months of a Saros.

References

1. ^{{Cite OEIS|A000040|name=The prime numbers}}
2. ^{{Cite OEIS|A046931|name=Prime islands}}
3. ^{{Cite OEIS|A006932|name=Number of permutations of [n] with at least one strong fixed point}}
4. ^{{Cite OEIS|A048267|name=Largest integer requiring n fifth powers to sum to it, starting with n=28}}
{{Integers|2}}{{DEFAULTSORT:223 (Number)}}{{Num-stub}}

1 : Integers

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