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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 #1100000009008086643 2,952 digits created 2026-07-27

Value

123826244955987586386718928913970394532983282229709506278057485704511865970442377876764779405803975743186462896400859008645836420063974425605691776333108594863447099460220804391723339615909750154537718100482666252682342052187953746528577639164032338321093927348202246192943976952184230203202504868829451294141266567306143209033426578963352040949542935210047557001150988644042088537996502412597262886271838633222843754277557790429826194795777404463656375396821519200323934973342956952678520467051795277191780474117098975585220668031935848026784988607577062183905238462521278803154390496175178606474713983119739829253494034218298058380887322319125249345454170261886130557396529463666095946247725436949947283064891101008838614163008355661691911840503402644833559742569292466606880234845426116002431058319226554036573268176813566965537854009229791772247221247042488813146774321565880136885106566474126244783620637156669174252694580370336130584056203272852291810790043118479956172937710195016601501926583661785832598398976093454346361889057446601672935149171768273058909314698509219741523834605539841096668583442988966490833695326416820206915863742288198360554666871603507229757559533476892424997085215467542647633739035637103751736159773617901713800183666022543267717959670445951477283763031775156303379881452775935352534341519540571435392111645003218049078348593932306696780779955268844926496452332314917919770670066269863170785591020413022987848240660878976164008163328312500273342442528631071116453223921606775076723785652251786442346734946276902537392081129950862152219665668675409577561965515687370309525801197559893170213644648964554415369423199805770365699193192198268670571937597698988132120643804448804404871961059039447518759542007172169717910315635885933269335627681800258243811706625376613915172274973274887695412208426864863386519072096683893608612347764075102261955995738383352244249583433774269072292025545853040655381557290777665114275848171177516155309089322236426296719195135040902679194684769586570188086342608510001331816719103866547995679413209437914604864993846673356370002632481581146386062785771014870045351470336759324025085370497853283602219675399881196552246398323833242892907635615905119238244730339502041271100016660658836755031282696440915650342215777346758799881221264038474639296289635248067644002712612247860383737913891509693900328322859342063612137362033657206051192997193758016847704854120746785114346776395550011531948363556648489389563305574550951561549639199961798588620857731854564395059677010276475038941763865572055014479031257966114190929066405551900943945307325824810625232774839045186059958279118766838813917341284080150815739551996924216703377144930781262901107495264030498847875560334051280761773182476610659542754225570180330021048048449283559685881240385174149715730949980430443849798517126227746431998217671563782485899567310371221414208901984914493542592710553801445754109220182906646780728409616982352003
term 7821^758-758
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,952 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byA.C.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009008086643 --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":1100000009008086643},"decimal":true,"detail":2}}'