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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 #1100000004828253663 3,784 digits created 2023-10-24

Value

8725378584522125154923505368764914942117239628212673355579412707553199911969321801221476546495824367118554148061751967327573522666548381231160289063465759804878379370293797370620929418247211490827772391585167327077744328245017513198484342964779125723899339060507285309140359499457490065300110235864274428863582163822977459044478792926768697933747337885313410263552804432968401609226395198964931145724491722876409704111734710595629889640749553869215732293011505405120444430949216952614279897564608619468671994061585022206764644650396672251455074089911912341144581466201933889792719011644638637462716205520914714456164929874013026867360775406899653482993049679937356198127202799747598932125633665602317601653297566646772684684092673322560104491761429785047149198521234391618457461232506722616158543175622628084897939090581954435290593395083965643058590412706270938969296181867564698697579074168076937398190191183664741471884086674679320978776263158265433442554480869256425984025401099592187548478190636430083649021848583694022333627253186446223392644670961747804138874809411714608369303733144043520619401270919609845992342417409152542794334775264734885406779875849473400205350439685827696579534554106438768743071762647209460218719164873286793823359326827076049075659750676620068318879217822100760642948762329569706433111273102026228374072093326157884215230570941741970095739849171076959678110781732005780580944102215663044807169345341598828400116878487753784287676138516456990992695847675342121377354135435682277059756532024558589859502615215941081006667064697742890281914952678393197778897118651380573680934977349068715768622322017599739273580071470790247121597725015150193486045030512019034260493042376081668054410184022440927462866392129432896935390760694698794488427162697611847582922534506788854938221682382508064346676140916087260358782904733263442656226077995549083750246037984007909065513958628369734833521846276805321896285611613161625283698806882852825137150811105860288272499855700383016245777442468777319567620693620197248983781780337782149530433941752200060520492509639931885195215840311982901100637464908439169627358603859804574968314185240094615745539444753700280452076167025505692150059599445888023003908964408075179729608897603302446728681889257760744881085742427172917420068286111984404551278188961729032896754221230011414377592313806074822774063336140629825608167080561344765551986132052635057049604660609944909305988997697620232979337676244576300389456087458584989675374227191443114497604865450785125273077942736134523028681046096677682377735723178443059308804231057978374542513611325384617027345341251796618323990115835076986826432639733107719760620695394754216187574536436088763275876517810514139469433657872771998707907491589617822755021974462505287403074943144794757696068272878022154874696357601944928576922831386067246582895528554307768387320666425228246675462242542806189445234492740840417704785673092409514319221624949996893331660595470590877475913338463742408045097858945652214137226331103119501418996690276192143980843464684104786215185573205516728614985246784771625999534763338818492163147962406069758094716599384824174157713958029360231065558724960205870851084366256499393769615085071744204383995983083358875264445489683251680305823540539128654081811989091472071676664310024739518136689370827013517894165343566139706150345604071034853253007274435827909259256423037272818631830546619671974157458709988884451097310246326693029089090638979698830356378359718928019464763460813154812524998885442051390237270585775334550409061341962299685789733759678930717004001271837687331642751192670603932333037170744006661946071088968404663759377440069759260488763018650287146368412169807365550748858804011784898240844015274895462882343965941831974446222266735447700023203
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 4,113-digit prime (450 intermediate primes).

Certified number4,113-digit prime
Certificatedownload
Certificate chainshow step 33 of 450

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828253663 --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":1100000004828253663},"decimal":true,"detail":2}}'