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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 #1100000004813851737 4,463 digits created 2023-10-24

Value

87981139841080322365172019997871441138962017990332262163264362177346797740548920563965389227055255403799803808395499896595862861003234113794964648606443322939751381715631466466610831046587748149556275089606082401934227195243793004491733894416359435262154302429786234695681484979779830892251594372330347410241609123476848831684392260845414295708353643038252139164770354515230070729741948869431783837044564380284359420896319310056837915311500375260944420294652390190273127075844424056935597064155591025230510969607196327430146428454512469900243248006067258460706123171666785734250534951957258206197200342175078262465386738489829802014060833401538658163493620026604832583520881602589558280220330730677455544467786166042846239497359749531996040150934141529039221020164735862915313204043327684093035043158281412450676728201082197372352908426803697798476969584620752725911923657221003865907543711345146625625735589253424352356543628896763244785702401389924497605044832936412478733932284840245818198421203819795078194802981984531241478612734743463683424472479183990053395147371884545975264039738756760439714336753722998385313299185790828465783601633567033142401229172903619858135339557712576736435007043304665251267437997052174164807069941693925639582667151557927309370786238621747676980706297393182657262743205954969765469700051152834239222135095248447691443273446764310799493538072906551841174386583885546358609165028203540965504687770015914160886690845653440111844722037689859909594246866317808705556560868001790764876439670901026794888192175776551133710807285911102609674436504976180802188804831980493707329158242433491672461925420992261286392072024579279262383459019634858927403481263067211713189018844914534778806615204964603947671409635057475713336285597271155847222335136831545974764837938398438729364483971947588796478725603356222936345282752762034394044031059126670909101617471980439598653844695865623731152824099603072788845791645020462489565057571654776579293620439147166381968435086097208140199706983369956337141783334626989575972164830113078092188586908453527692442867897815933961484829843636117151787445180900295903867757890962220297853851921275869745580123444353372394619323247475718290467233388351332870275565668649366017275500129445660968958987342878965257881738651799220440134506559983998810065726208936858324391872432727051082079913132833914573315549139312539021319151940206591366421774605590107410668544538676262335740752005473151330555040855619037989419179604406950677112687300228887536740145675728186554579892307825694392455991221903685627847789952078822730521615644407420569958992560169990251162318444091794061595574069846686917795917233828370761331087641315030750547048925321620637326833568704296572645543820826780975105172824235113492657975386456010082967800838700865758363079980707727695153567544198578514626589437076571225092740678435119295441125751979485281092174543980562111720060848004875535137841673495774036571995748737673892762343309159384389579191552182034894303379251284331968105727027819844555614252118847612614388160089819154453258539692730250729942863687785918203640587030281953841977048996150797183642886730050279953798916860364224919892047464242095429733348930577518331929693448326375385284868644561929834724777020389497204025078783400677012367243680603026874050721599307884913591691061467951512851730304809849774047355585225198590778769208347547368710670171750886867569771898847013744524903307707019544007767155785386392401805770569157192504120599110103241322042920384207563549068628817442447550485115590441413231811992579545154777415273932228674610679648883022188308476415348758333189829736750952492953380358160705807860106892631541703409433121934313578594369507769175982866476036159670945169906937285763972736487058682804925525526398614362757920479667776830866769302022174291744888336786630942246053204067226375077302346142614007902199703416440913270768617466194737782134609689172984679758144772414592880826469611789181274507554664748290277466942433169781489155364825939568327277733156289630103369260600351206414533882738032507285624939495680234221234953754936501594086953095387888368403992257105430924242275923525165963294484480671078814180002209878558259789866808443668835798511617603729650117685037954439016545810302518023581388331155118809749432856629679626810003179250598936298899523667301553038459502515576531248411793593009569589805923228600493073293619849464412491340184546942971193197317502717661131519441240502871643
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 149 of the certificate chain of a 6,064-digit prime (603 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 149 of 603

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813851737 --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":1100000004813851737},"decimal":true,"detail":2}}'