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 #1100000005734765864 6,662 digits created 2024-01-15

Value

32131718929462511815710760539374010310126512238167041907484083364862117787377582760121322813827776327923569560986039291215892707810671060322463939764352864141866030486401944659786332881748903571599561305876006758292754254813500530080695147267809688072410568660840321769621485674494059397362747241789984337885435607095459000703721580422776794366428720656260293892474151972816116274723319955700341306242547150803900219040074854190004173847605140600842363967416233571841471866474659528741869046787361250165297311861486257827925647449296438752392670010548258901047236877222652535868627966652265968386996701177376148821886021815703407455137316918323318072677961125667614753900640506348291864226141692414904807005378954421175490213960882045390076871883539839275330726292395124144803345939820235140696986784890660216966459621149068130398294393389032150358340004100434301022931400090926997251107561741818172983720248770995875383383250227563092018057109002212455123689129700100979441495114510342955149080241173490761959592946677894202446178229125256546797803095044440828470893616403934656065498139851592882877846100406539890582874064497117139982792818840374825922651913256622920521188900562394621772420552746192011689705509832259465301471411442714475272480971829642808547725556333438142150034985335985229211084255573568146402431670241502925434078688106589647268522327533276834867992490172410133346727318656766176053766046470607718176665117959416981485098702261031310016736378869181333101195972010497903138263869071227931132999399876763785777272846034029464173823746808335346754083512959422713250172589534744259064413983794053463384656277654893879405544258922271044791203202132402722031517732632668260874242239992579892315806491063435599040104702766083121337528640948436064159285795837092990480339541691446304961778180123219443179460581282696847878329382480948304217623279303099330860976540783043298224958566508394603284147924735297516241261960656940212212069055827847751283489465896581343514832238565998507057944870213804713450490294418918895297310593911490381783928270258700225672311535160684106222284970867695177584969241894815048085179839550788907789843738723771842755926865577924339807477196096995074923022713603294281708073204333695575442358782487980701206548407874165701065690623322495043904684299393079570284186759593727126203962691444702064823938117245293966888729851708733819573939864299919695388681112768748105155188420199553499049899275032937580271533299337761862402911173139067595955179759929305653838943099306174965721660337441390840825267719415893166614989341192802842526221638830024328757005799468564890871933024328666590626853834659109692323318209119116474456747580218847121496690879951041344045903540586389366976031331230164657262830508476704756425565859774231332658338546222563513674896190132751055037971611157417571272069487588832057282211015794859511973713988827536003138628851923092509623205783985186833742208903477263585225285205340211431188336670603045333398362863049840613622632389503753750730338844916324514281589161776357383278053641694371072099801634324677857012720778383979289823044232070979949728373763536998737445436034543105107144442058631302884913604422493905631603551027053401342576446267248544916323905000748885635455193126956824881217597217188990131306319902173460503077630901103692155865643024170412366468364970764569523116423979954647269091436645489867393348618286183383159165180150347854377284213347202218496589479404559686678083930441947143204476926930593276312692826035720551020939312943830466383048648022541722034001175125323925591524731345979697374107343336030225855472620828671530616095857880669537947145944912999234963783497594898952772566522199922707113872786973345953292867174107638952625965349135107756757502193704590221432880090864551103810273798291256532826713527366953722271885868310977958139911874814563031206233669679251913168485879067837344362982036917001397183218227004514578995161316183765902072071029558374196894153365072661114147788980217801341043435381177986780710751579686119537374816961029889629210271340277904169515832516382307614828742009953024919703958523786324240822011568140215215392863336375067036684615853339656068408061389724238276340146485422925829648395799545312652277789869908043581570103757385214247912604161271221031361019792270988627399283937892560070281830638921285244793897746530752131575387826211130838199933288615744528513007777846651249920820106865320539412321631629887057036646580373956320975876214255904810746768502975359609741241664685546061759426648323810344487716179495035636760195270973951018374009955498253125871274197998279424831602029892924367087505507907839268965308258464202886365429359981464282665137332573564688946810565569099352952609852904822239715454161784273786184402080893648616232137802453135880994205833081449529742779098446817239067435285687986917287958706410492752179777181699892523799860216313780253782061336578202663259934334303858980607923258192902003155488053513558933604664723794531490951284621677201531556484783306211349802003167063134258654900581888501578899483864612656043433029268488318054298579492349521154859399902613974442531672373241392405078725403856258904043637487753182272895025369083507266008502789098459357757962677123256728852550441422164517690318656654471863392118960881226781730712549386586714787648973916387766596533213307757926492117748896943519958744719440964737919786294940816599960231546121170792829545237965184286336182295404476030674932285473334367298559209729578480444364822256572868071439464210236148396338393196730492248052875943890668131292440416898914142512330556612005519912873142076078738625890938526810523733962079294597103505947249182984676243342757311317260153569583213661457627011476400274858865116434677161929969228211030119611224771527323937894253929125427335404055277717374871982074751745229918975326719011621401930053449021571504256575740167124080757664200404895572472686482847984692296192300879464423025541719856160631164094322483878410590563720785558952295037618557287604884815599555791781008648629595320588798769530911069792656864305111420553898332170943485846615901082748042205269110565986584169976317561103013726747715811239178498408968769548618719513296020106041977477168189455075250765263454958334763657507767767032523217449849191911960448948846693646344018834578709990700576293048823597369573879247285732334167100221961235497302226412503624265767885827893917137367154270437601210026739409114145311724980682403976122408131379978502913944702436962472644575314389692914071752726064649885821002633589739341621005512243160900075498914390515798436513575278542079513658812232922363721472441471446206788597580563473553559085911
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 7,898-digit prime (527 intermediate primes).

Certified number7,898-digit prime
Certificatedownload
Certificate chainshow step 93 of 527

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005734765864 --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":1100000005734765864},"decimal":true,"detail":2}}'