factordbrpc · fdb
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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 #1100000004816344138 4,885 digits created 2023-10-24

Value

2727593233908811342030593196665657149195481565942140562297221177394767414062256509793368402168208153685454415395219073857461586004021905603605899649433680508118820098480940619230084245159032686713552527112232280716498008800223199897285232783626776253099723881960279974936165711654535928393040487947391600749083495058102001425153944153627075347100038939804595403638200489586422203460187948715913651727811392490588028938923100440252228209005167749176287936103940349309916495977797644316557644490290417400847757717527135425511194862066278323581140981638405341852135283357473464645005998053268810576444671853385219370511110338539162155649174225571643559056805928614178188142106010942308450672023085726354549967187153345534375200924934047533382629998689886856731281219492961464690907831974251254904057550862401109279817646081752000351537170575091250445200219246701880718980693346579762867197452453674776284581103029676196304521283920661091890590252119760049798030638570815468846358818408474387070800818306766574976822240165022094022554277056260541400007484894529345849136867633854708340417207054643806733528376656993411946138977414853067907163493150740635993220088051711898756294113697645269108308613425754959868074023259634358700435274323335310168928649854506654548130110303428883607634046301870856422106014646830866095272522827987691344933878173278947465874626448892304635040119149081676589106871246013598911993829706932263643181512808265606063513249369488953288389929117529391808191800415182924333754986402469739140842587043052851828970946859626889283957571318763262589170863939733793263604385590362419276463883950375249346720527663976244648080588982377506126777641976301948312331526535646319382811517887006757530971117505926160983855039310775795427046783133332021385368134282979590394112855357499184745385937354764467680601391592375252969344964453901967297193600276203072261047587568870101617598794661132579280810597719910936492743220069437158085099128154270409267508454164699621269084337721684264634774007585671263934563453413883105172089668060536467371102695405413818310017429230798053611903164144059632549012770710799738632545611612687730935328705508458193939696712167180752774818816736580390422630699300029238405943380136371663318466913370238086802311051656233875833473796377905874168340385428148695296534683624992086312402530310501889457631468038940626000854925345022090971801896542294440301315444341412949244799239077795414152760607698160343613753860329806925372386493005573692894296961223233307877845409127621206827146081062507595197661259527729083106105149625882438235490578705632709403076173367626363525712885003811778562973751996436971536561763550969070772665185815866976345435358982819327008238989047386691355816307317143871270780848770729489001146600303406394174267772295148723385158003356111430097162150277203543781529791119474456655259463823537862328863657111338060848957504982374719411703751597459082915239087718533561737379432225102536041500460606513404292638260223375800297499486043835811009263327499990036230240818187382179084742619436678355290434578425243182012713748537828337519687118013048314030434271972852319280491167920405400326316634613056543097308625290137723777381395368969474958714310062213725710404333581997768640266092666912574560932128922091327571053270442976889766445938774974390309195142099885576719363477728050746252850694982380908107478782502429735914702559460417392938520073486461710698997289114537106990797007997958359260960123108612140191087153696322097294944653154352406790293524690860727817037615890651757713511612088128774963503169001076625719245197376316708757732928470729544281631999686304867799794697389564976638481711531110957670804438416107238413867694008138138677447877569532398904635397549634664662262407161109698690211795101358349839462028754474888725276304530492338219361787756034750224806259695134578128632457238912702335486655496193064779996960213148043029610312939431854939014523547065415066936866043153081523559013764456981519514669209959232912925745086142522059747274507009282174409067582679358897709313837992219227968516351955237063377042971529822185825873038263242152834590315661344953704638622126295223560508201302069513436927923617860735160998981941959352738493337297597383723516471102284684779733000240302275097083155240105642661938348054132016012392122662750271635185453950386102916470808744270513092473096580480538399851767652286329114478141263589236358915722415099036855967399969250128519204622010521583833150230834875356966625754220456161651752192618279260366826548059337318132704443938498349045721814498670297645929472595235536221264437897356985675335854428352348888189147106673927581298713309106729012926546385031803429543227899565267858367135153030717257670273399516920197944606667006187673180404188616133725131415987329538136938425352863868964957790958049357039262770390574011283866098720830888013163342841723601826719
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 5,347-digit prime (553 intermediate primes).

Certified number5,347-digit prime
Certificatedownload
Certificate chainshow step 40 of 553

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816344138 --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":1100000004816344138},"decimal":true,"detail":2}}'