Sierpinskin luku Sisällysluettelo Sierpinskin ongelma | Katso myös | Lähteet | Aiheesta muualla | NavigointivalikkoSeventeen or Bust: Project statsSeventeen or Bustlaajentamalla

LukuteoriaRatkaisemattomat matemaattiset ongelmat


Lukuteoriassaparitontaluonnollista lukuakokonaisluvutyhdistettyjä lukujaalkulukujaProthin luvuiksi1960Wacław Sierpiński1962John SelfridgeSeventeen or Bust





Lukuteoriassa Sierpinskin luku tarkoittaa sellaista paritonta luonnollista lukua k, jolle pätee, että kaikki kokonaisluvut muotoa k × 2n + 1 ovat yhdistettyjä lukuja (siis eivät ole alkulukuja) kaikilla n:n arvoilla.


Toisin sanoen k:n ollessa Sierpinskin luku kaikki joukon


k⋅2n+1:n∈Ndisplaystyle left,kcdot 2^n+1:nin mathbb N ,right

alkiot ovat yhdistettyjä lukuja. Joukon lukuja, kun k on pariton ja k<2ndisplaystyle k<2^n, kutsutaan Prothin luvuiksi.


Vuonna 1960 Wacław Sierpiński, jonka mukaan Sierpinskin luku on nimetty, todisti, että on olemassa äärettömän monta paritonta kokonaislukua k, jotka eivät tuota alkulukuja.




Sisällysluettelo





  • 1 Sierpinskin ongelma


  • 2 Katso myös


  • 3 Lähteet


  • 4 Aiheesta muualla




Sierpinskin ongelma |


Sierpinskin ongelma kysyy, mikä on pienin Sierpinskin luku. Vuonna 1962[1]John Selfridge todisti, että 78 557 on Sierpinskin luku. Hän julkisti (mutta ei todistanut) Selfridgen konjektuurin, jonka mukaan 78 557 olisi pienin Sierpinskin luku ja siten siis vastaus Sierpinskin ongelmaan. Internetissä toimiva hajautetun laskennan projekti Seventeen or Bust etsii pienintä mahdollista Sierpinskin lukua ja pyrkii todistamaan Sierpinskin ongelmaa. Lokakuussa 2009 on jäljellä enää kuusi ehdokasta mahdollisiksi 78 557:ää pienemmiksi Sierpinskin luvuiksi: 10 223, 21 181, 22 699, 24 737, 55 459 ja 67 607.[2]



Katso myös |


  • Brierin luku


Lähteet |



  1. ↑ bit.ly/Xt3S9Y John Selfridge


  2. ↑ Seventeen or Bust: Project stats



Aiheesta muualla |


  • Seventeen or Bust

Käännös suomeksi
Tämä artikkeli tai sen osa on käännetty tai siihen on haettu tietoja muunkielisen Wikipedian artikkelista.
Alkuperäinen artikkeli: en:Sierpinski number



Tämä matematiikkaan liittyvä artikkeli on tynkä. Voit auttaa Wikipediaa laajentamalla artikkelia.






-

Popular posts from this blog

Are all passive ability checks floors for active ability checks?Does passive perception supersede active perception?Which skills can be used passively?Active Opposition with Free-Form Professions in Fate5E Trap/Ambush/Stealth Mechanics VS Passive Perception ConfusionInteraction between perception and stealth in obscured conditionsHow does Keen Sight affect Passive Perception?Are all d20 rolls either attacks, saves or ability checks?Can players declare that they are making a specific ability check?Can I see a Hidden creature that is not obscured at all?Can a Stealth check ever be made passively?Is this alternate version of the Observant feat balanced?What is the minimum amount of skill points per HD?

Image
"of which" is correct here? Instead of a Universal Basic Income program, why not implement a "Universal Basic Needs" program? Bach's Toccata and Fugue in D minor breaks the "no parallel octaves" rule? Bacteria contamination inside a thermos bottle I got the following comment from a reputed math journal. What does it mean? Why do passenger jet manufacturers design their planes with stall prevention systems? A single argument pattern definition applies to multiple-argument patterns? How to pronounce "I ♥ Huckabees"? Is honey really a supersaturated solution? Does heating to un-crystalize redissolve it or melt it? Are Roman Catholic priests ever addressed as pastor How could an airship be repaired midflight? How to write cleanly even if my character uses expletive language? Describing a chess game in a novel The German vowel “a” changes to the English “i” How to make healing in an exploration game interesting Brexit...
Read more

How do we improve the relationship with a client software team that performs poorly and is becoming less collaborative? Unicorn Meta Zoo #1: Why another podcast? Announcing the arrival of Valued Associate #679: Cesar ManaraDealing with clients who want more than what's in the contractHow to prepare for a client visit?How to handle undeservedly positive feedbackSupervisor apparently making it appear that our team underperformed and we indirectly caused client not to pay fullHow to progress my skills development as both the technical lead and youngest member on my team?Under performing employee will be fired if I ask for him off my teamwhat recommendations can I give to a colleague who is not preforming as well as expectedForcing usage of clients laptops because of VPN accessIs it acceptable to e-mail a client regarding potential opportunities in their company?Am I overly concerned about a newly hired Senior Developer with low performance?

Image
Bright yellow or light yellow? Using NDEigensystem to solve the Mathieu equation Trigonometric and Exponential Integration Co-worker works way more than he should What is the evidence that custom checks in Northern Ireland are going to result in violence? Can someone explain the meaning of derivation path in wallet in plain English (such as m/44'/60'/0'/0)? What's the difference between using dependency injection with a container and using a service locator? What do you call an IPA symbol that lacks a name (e.g. ɲ)? Delete Strings name, John, John Doe, Doe to name, John Doe Stretch a Tikz tree Philosophers who were composers? How can I make a line end at the edge of an irregular shape? How would you suggest I follow up with coworkers about our deadline that's today? Contradiction:Maximum Power Transfer and High resistance of load Where did Arya get these scars? What is a 'Key' in computer science? What is the difference betwee...
Read more

Rank groups within a grouped sequence of TRUE/FALSE and NAGrouping functions (tapply, by, aggregate) and the *apply familyCharacters counting and subletting specific patternsWhat is the purpose of setting a key in data.table?data.table vs dplyr: can one do something well the other can't or does poorly?how to make a bar plot for a list of dataframes?How to group by unique values in a list in RPandas - Alternative to rank() function that gives unique ordinal ranks for a columnRank within group in for loop in RData transformation: from dyadic to observational data in RGetting map from purrr to work with paste0

Image
Understanding trademark infringements in a world where many dictionary words are trademarks? How to use dependency injection and avoid temporal coupling? How to write a 12-bar blues melody Can you Ready a Bard spell to release it after using Battle Magic? Why did the Apollo 13 crew extend the LM landing gear? SafeCracker #3 - We've Been Blocked As a Bard multi-classing into Warlock, what spells do I get? Multiple SQL versions with Docker Didn't attend field-specific conferences during my PhD; how much of a disadvantage is it? Copy previous line to current line from text file Would glacier 'trees' be plausible? As matter approaches a black hole, does it speed up? Find the cheapest shipping option based on item weight Python - What if the end-user didn't have the required library? Why does this derived table improve performance? Appropriate certificate to ask for a fibre installation (ANSI/TIA-568.3-D?) How can internet speed be 10 time...
Read more