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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 #1100000008791954163 3,100 digits created 2026-05-06

Value

4723327564616611860322532475284345233411228541109849318296369809875274026972385060335278447251601863209897195590813986422710903681784996950579670226968565864923727903650749336088117389911634906949843277920883803724853090636658377204219108464102957036938931190243777452869114230589521470617210343439256165962687783270784021381215418937356540126665114724811770707833654201467856618188941210865589487926081671580439650171461310216446639713690521684764559420267267902311451230050616533432954611437234512015842032657649034885873215362136139697194644422878451601930249148568366439664898278082836721430393253167415714019198299549645803773287130758742798700215846497101928456765475303386470905714142539525969388880456138428376502474812521558420177335037533942430190290593045893256210352234263331879009062249266428256124022478584313705130577476278854877706645623188385844154833314462307192301445976721330768616004317054857944608034301841054641234174661602870877713351036159202805982368670230272056583475807143463980860720186703531614802924361459247123434724555638879736450393224573755165276657731872596881591268639826218091684427239790392533620819762051746711102561521997671955277587876358255238918159616821319769770520613094660515535835890541282727193070869960103772547212958622077124625465841019967516033097147896019064590323541457000599720815322473113407816347585816670352762575339909905903865096563519124032317696582192685341421838838999409731265464851093533976811147832996035986745563012353762843957409684121798530670679799572924244890175536454086893370489413340976492412749802745236921891491296651678214506533666963056739119833291561457695342491861563369044728092764886003232026410348778594024190802724424396783551121178855184241635154365255536012597932412210001394846335080521419187181881999144196457943983255783445482706728046483371570709608579885015973229920908865615462040623139035038204177143009284676930697917688663152487606194483684779801155931586325719745193443363875899234122579140183263227018093013901659164360002937658074641162193628037452505969576162444063207159449360156919877611779073461958545064434301901158311321732548787553955511683175875193108830531896806167073870328652174431007787751608004072758739761118721490003647038039847206096956654052921350845631910079339043020615054920297202932670485794874815998814365595381352673796776012090528978089296729767917966833247512992174688003859488725273348417373347257773119369282750179099592431052745139069347263782008607277226443327225049825226633391126310422173044140196958448232752039382813836673178633390258286150750638877105925164966099138009544088692722444966059313612705953293758159187465517369484079635143124799484511884921475609307273170589366089200374774884334940728792924947769486516776400255620470960275778580611698799093313949480383807159733049594892279147487390828065193733968870273332369746298560772135330441526125582409338703348700289815553168775005881675424762693166722139547263187210256257253397802662215192993789309910850242352444215373987675430328929216679968373737089396317090151395224297256041965154072121788683608440293057
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 3,395-digit prime (212 intermediate primes).

Certified number3,395-digit prime
Certificatedownload
Certificate chainshow step 21 of 212

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008791954163 --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":1100000008791954163},"decimal":true,"detail":2}}'