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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 #1100000004830810497 3,885 digits created 2023-10-24

Value

197714928097896403218876126200692886572620440573100758082492322431807706876124779940186352010325410521957166071680548512587335440373802917854566585822052684497582384937001767806027130818721147408261724094444635444289554863188403326007072525123878629357022990562363505569271968778302262273762567703571764547754646371443420967258271547180230423574282248180605143567566601054254748756549746994143752912452223332823383912844508998425469919440306296306989583304030085615324050787215721157200140787864017033838527630737699584961808614100289535292085741768996826482527314159194300719564146815793432055585373499152463648525650962900243408106985910970310218867559602005416466482428397655033890164988018308462713322012256266859684870148117179975304751628693703232613309415103706974985233100934389156443723254244862645041509734673869430149001060185747476788543039341073639849948700396065670188610073749781058063820197676625696458326869036858306702967808472862552496311495856201875357743758773554707493950111515263521805784909073613347821182878277083035906411571295769321258110873390886425180407401186930794434058708938271908036882097979253486481151943146686269935292250476019478155421225454467639705539965675572636374928538640855282700544924909784885942120134423614285695541568961895579489610125247019527425485700495522174144015900744819551922297425706399688753928170968381388702694132842386924989587770513462857785004404799915826074124022375532908314662647594186961660966550988291267037400943880115575118165803422836592018978246944433041192907446659531565122824574923053216825976967560085370192807340152730258716991373281272831168226140481844375133111315425232398358223594551543676711216915319947394326983110302908572686750123960531759525809355050800332807833227066315952975392059597803308905333813837423423259978947377711869289385096201288517493717335375416806614953475242082827555942338156381527404604467692007092966320274642927476954464779484980094731000380833739090918614428782182775950208207697882205375425413829229252544880766731332664569885581788788951134882120138558602646783606175756162129854977108263522273929418296672109596731314859367299677673472191885874252222000876931244681652163970887787501823115932081812289511400051013442763430986178648397038315097938381866064171514545815800315315037373919977428154827151187490001362136897909195386256279903785483816287975068117327476922062666787402873512411136819903860550432691079948549904438300144328412643453760015124645874456121223016606151173413030488084150894176954564834640000076570442687943579558545209886108552458102558977003736090441733833761749579652689883860113557503982323859962738022127219347011723248774334461741938686910900115329538418947252600369338982007229834794974953678011065149728999717555135325304084905980089439548999278706581797539432007816410235583900711690802744892075394969819398495096675494348305032401422358228975363965282817276324347634356927992620748898492513879932203120009876183043259285777626804046824644767241476963110570025882027832706541812278966729580863106952203827972157193074828804254087019206417653303532654755625915704383709597146217133185569694128459372401268010086044852106124226592781624859450316067623610980479279524173830452847932996082113734512281335413605943698457755408561608871833593287044164797488708283670128479580558642342145299091157494990220290683626253054516568722654992422507278892177985500484647591273169726721033297548672024874868315169402081609243053328994294292533878980467504458459977624396135473391745392326628697235698999987574445538251329267812573426733398536513763585790883086973560280713259750768237237624846540357094730314580781931250346990398306326507853919876844860017022332721995049230769301294325100449427755966135269122896710439370001365161032491431177226524537561883652663539773289727965530181743949250219254534170417458602362115027043130574768779467929060980896437
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 3,945-digit prime (479 intermediate primes).

Certified number3,945-digit prime
Certificatedownload
Certificate chainshow step 6 of 479

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004830810497 --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":1100000004830810497},"decimal":true,"detail":2}}'