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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 #1100000004825919463 3,950 digits created 2023-10-24

Value

85678419781865322437828282662283237794424371097762966269878147711436929803027761265674865885416609343264292834270282864930590029253667812572043256122297823677167404216287738790322991203899713132439306485821295749435724524803245347701138398035721975358112455495655721002497931587734012194981197173913456006839990743964072445293870175870496830458612154109408285444538816423448626080827712835307721669124335367541317187734580251918902545193697804063819397201994814487281731492629458858884093769591391655553750271449750186982810149700998886496860467430986859219079992941956101952862514926013766026025755163473572165257002221614248143527381325089189763521740349625163155971183863396858518239672640381364061965648806290534852446199661883102411730248644883351856887093629354551670770990733019654986349711209771573084424151669927031175161873969766559438696385924487702242670574406040614783154455548062617304548689254956720139380004546130376810445807486347368937062185756645924105952651592932532418297860405677822696956943007945940624383999609609955759422489219303605125776782908508494754030516412853854772687262463652635945369810521824701711902906414785668108216443818326884209786564118184362770026420470037795764901913501837225626089324878731026908521034258923333665876880265378608866241440913786757390147946577343518052593154355133276618408422462878520530276625295486997410252338492646572636158967680526239479798409385836846557927550569033001195482814224601621480125995837482955017179129974588178832037205090407049419151627043807368048113715897012706853983131238283962434623374511481724596473164763613871614142215529853877940731876369457709978909729763926890448938279604517175221251155066127668378182752790832563037368845538828506063035865605471274485420479638807870855916495761330240786211706008586651383800275092309673875081350837374276985002062852859302533600969613059146666351343944456121539247849321462408427980312375706442628160919109558388730593226607412855550727972815822354265306542825648483294492479713446228493745563198350224793698501370570415879731761169579204982056121304996616354204772011557337218719568783960964986560056941665008727659574151029061156291537455282469851333091360056979166647129696498941143327152860993643634168030520067897446169008855922286579640014469496451881720932569394843247031842798963662233428813893121231713639748706991684092771871230454718105164652271844692875853627374180719374326172156179497072387114235900204074870207578996039556381497149253979876155677425172336379091353636158124638938318662776784521965014513474428211761524366157852613166139199782554411972910577798152756867519006073744303708757470122348398013833783730734089364572723582485764789312506095563381815124945282745325641026423890795858275753284617466549377480412461391796331045087137766031446641615259358663969715164254521379789265527411916006706192474922753654430056494686217540225890967882051029338206269210746551911621430313835584983652124973289436094074883966701341720816094722052037572858132963096802876757850629119350444917908642567308369004695820774844858920051692951312742335771186937913976301009831511209587001131909083991586397380034028805414548886599745630705680457590337653102242079489482364159840854692885449624497247891435760007692982486396539099449299125689462824189650883497922927035245462981018150535212372126019302785990160923718381341982351996588939345415194119479565796720041214639602705643677483292504973407325939826650618938339609754728689039532198273693193545131146126725710917043544339937184089249812704674969891293108849471809403393897837449211948244209136866868259157017127063659973762728018767812452217355655910970854074092902378609321119710488130835221032795632915616641188052644191226096274107215071044260246302150496807601648823361421895556716154083268692873713725531588344690350277062102228805379246887214078429982738025260150016934562945925325499029972227699588862630667836241487174754048536670597782244827963743079227
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 4,284-digit prime (458 intermediate primes).

Certified number4,284-digit prime
Certificatedownload
Certificate chainshow step 33 of 458

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825919463 --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":1100000004825919463},"decimal":true,"detail":2}}'