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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000005243736427 4,032 digits created 2023-10-29

Value

128297134562303144713071346599461450991945274851774293245108847245591020824542467397306321393923831421588842348114388498257996771987190016947551905952575467398548674677844850385313125932712867152923190850246824179881720627691178491894516947554575737595643750222273158579760446027951067524868976336052194775837934842551715205765254693450422769524725007499079567102719461107342700976836651960560246423864087087378728202925911461975572361083728262809416515919167668709121176632336722166014274652201521426753988579552329039886602565844655623993533168712120876189462070822799143358752266006830686359091978955984815410214604101004531592884116231573139562747245977740964002901967958521292829874439443248416756824114678923272166829280312535629472850382249733225214890928266448749120668092205111524290037521928452481171952975257758458627635733606785016031515030503680353605442097232358724985543683873864101355196504709362684171445156794226723052101513307884638640556033757317595397640201468585185828622142776201766007838348250194569322802226548849050223732853406862786266999298718800639552398558499891475508020389157499917681091773339637588325341218856209115492443824126488246305475858773943844922904086361296101602943162472199428546458271671283802478339830437322136827127009885134873169503134173428498075149141902965225235025908660263742316249772294033292629884819027822901876130551304649381838754285275803248560080359107918259447253898450547806305590558059672353707176489343847267555945210522137694332952687144087663326587624968067670483523101545274985103645752261436476237104283934211492029639845943412066338595475281144756161976796369965492165811282444075293090126106056460306290559973824427326385431234488511828951624331664992786611744670522846689501112658589728020060343588342861731276563886903534377814065367260936132534291594611416935085726425548716565378992261975657351566417860554040265549168696644003285557476671665771487516766334582059971747184658422635235262163358257366794861944954328688672118610770109245533025738313996252884631478534758135619878111037779293996965471829060701116988258760991677181015349682651551947546565419000534935468776021181253064674104096928026947620672772609828595827913612303197318180478062257106451270031213065376898133788030417392654714855544955520694892372309412591341330046960170393475612926010995626645197740619216282012865034893363209310254338657667459225701393452691702683834461062597745374872341621854671791321362496815954648670643294688509580249191508263687110674552911368726343958021275300735020874910589123687647876625026275249747030526895750257163479781689018667015173450825844305789394054846870610950481279672861317600165861656890930765594852466723188953472477440978057496681281115707450711039569464791137288372405632046354209156825561776827808231657372228765848720894773283734459210745199885272520457517607449776500527517736744012379572671028087663353638012571179721173371758066679023782544226229916038301617492879501368871443265512410469726607184771743320121843291778227731080618669149499093879566353640381251250490851279888467778416575259955391811000227901271817806177758912227558505193716626085576703240015671859899678366046546973996762698416567885706410804654516670869657928138674064405988010309374106754218285897704534398898722902996773203028039254254417248972745533892556104084774342074250824111462767187202013747558761468529172182135275945948214413358824420230005568767797273851432513660538066146518303294542298941180796688718974794123726142910640516004996221378333349145698261862862881850880409793082659670952709200142101840291831515457872158120247465565957774241963839162402571360488827834734279725066123629392246324120933733314740457718640590962071274400901635587937959285166417928565959341188184615435427059559536449379842685643888621562544611878447827094963741827273225876667271590441578660480195433626114325458955012186486088413690117125788711908578634504479483652175852911243526341429499281505101848739135179424298257363147796992185848318408305246705236222056465922605032199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 4,224-digit prime (422 intermediate primes).

Certified number4,224-digit prime
Certificatedownload
Certificate chainshow step 17 of 422

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005243736427 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000005243736427},"decimal":true,"detail":2}}'