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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 #1100000008793173089 3,430 digits created 2026-05-07

Value

9366115765409768960586496292677341635694672017298499356050353396303936752065132188430142497980925379085765976270014587813900273194114854369619321315670730928737085357729491268036751493933083435323443843948961386914133244962374690258348923075460845397594385378685793209730689127124189700458606816114504039079572194288660568654933539728510885909651632068661790486442741080620664080326705007234723734092586440606764285368418775451263210825818923999977109726965341225335085428562662827104916533916370076044971794328773332909826206548057459771179597878279749927924574458040859148027929342985644198885026259650403243676581913277142836784199920906407312371761732904359892827499391776533612659536881699618831399670761616006593587936719736652331819932097000601812730487314433395748427944200512022065202494348878095506674907792570140439911341819164206719704625460472234954373451183698445940938446355009319468970768123573482714647352307586032511166614753215488958683284108794732045868151515801669215227691102938303545395908009961768961859506437382995845317785074093045047096435374673606874881626582551020708301357810474463656399895234614876729458032076591869599281455287965879509710357084490626262060762377405015243227152099272606810347091823410492147932336458519053110715654233304678866280226683449931852129758097121727011920429808223838997392971812411781500154810384201169398877009393755118412244953839579153979070066827610628234838489180670659291777928835348926583308495944530209228283407570586022372072770764485219567598396833933667827693389054493520973630615667480082153959554297359828388847632487684489262737702681310574335392331717651808326824512270777763469567300480763303119399480688374157595464364904966041983156602928730532900059788623912700051135825094152674131154222132466968951423876723603091184999780008566804141138139238904068096111122326665963287730571364766090424007507179600395078912987913811923856751341151576296675236440926505191066669090990249118130371890981014128408919750510011201636466093863333958104768694243735333474676975476412740949141992291327864878759229634777077078092829454567948011336966482783133430977157787578958356155610289582832209981278830392854682680820902617762352655486394413093059009981107238250817748734028355563470554741642942765777735247932320845275616362732098084110614580861964939629418865565452265239276615038421517364632792941808141609367807685805199019506324173618984012641053603373273634556212269914218977363271014121905376941204312819792953391721723684968530433806910244328436403384460439650844312069305510383888568686190523922339618269117220941463743078150254650324686845259081422401269611224584669767523247480187066801297117934698525047011831368052431472699854440944009852748114455733587960674584526835482164585072162039953568594082722962324860104258509488380001147252482022334511709137225746404214319432655128467560434013341838565254748350631785825742162444020545301939437799985655803246487344233859797918638147033111289733825498050996741214983270567324593354521010332552734148501446405898134864398185676837025692060934183424686693235964345050512638582056093911193845924994600005952965403682123937411689818636923272301806183099499538327382504021491954001121026616909552785311771283297497833590569471387335940692429926584091962013313100041182965839365183926921424609575976909129665511887462112961839466800970593408597001338796358154958294028398716130616057532640693792985126519242423119
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 3,895-digit prime (244 intermediate primes).

Certified number3,895-digit prime
Certificatedownload
Certificate chainshow step 31 of 244

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793173089 --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":1100000008793173089},"decimal":true,"detail":2}}'