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 #1100000009064917188 2,724 digits created 2026-08-09

Value

191619777375151064918487524327854535062419792512675972908733043597531116132541524741308669638666045549334507673294775369569147790780167603922807660851259432543361739839414366346418527186552072735600217395009277966088487978581848369979068555944020806267278061696244508981457972399831335195290640127669218167654644161818645596658437649406910823415559624171992622719077356867966659661589886381230927033238711697098824383412116693960657525336710196561355877428453800082588985790671264102326336475978893684407128211612433405404594523127195362513378642126816817978175985464548432921800929570090844702510004852803206991218855263234828657352194308883840079427255744781998810622815279618977160130075903413409500195351917733014207696933564755564283339711889855125628177824879425631304531123585567845785812592867303609073741734928938637640721936667814635004687727437522226582967378601101074882694052184842527254474574571146138397070771926821473221209002170218886700664809141414725743421813645156028198985882377748962729514571756965812463508955826219664404314868665595655042173256187537695206514901487300944516768042969152932619869383912601421259143323861554032216806910217715633536159215270563037905722807074754067220461302631629596234829953088049009612430435105032145561502678045747434743217483597088232269314539088973205646122667134161857000067442709975374487262401216509847681058515736764009987654594937165131619712141110490043008703800054756107020493026052234055869285413508214799547510494086565615171085051141578876010595601284200227411011407806917200579517628910395497383870446751648611715132388975335396868354967398817930599808223296789109648792357252927580047955564624810368023700797265764841807426531501979058329408888585435127376553414041873491256304911684507906428959016583905192131271143795690757108909949776256185023802573528629592103377848343545254616230214743248494127843856618369827882834062753725624471130145104872170663505403777363520732724868261327903593279620837959711882927420858231609533544543503154740842069071033083332117473458001256717306935216824982582915617977409903773834433713768426287135805966306259787247582394617021880642059247594245860244230242309631921474013838931619666791650151827235953086916769498323116952808188946605114629514414283427685409951449869353779472785382955848322345396380733128805289583892472032336777106518944046972170928429766040381219517049601828671397887264444938528754173386750591586751677575213633793809155237850862863014889515398984832786290773388335461749668783140517106091969041614830345428397902589811792325459343494998554563749463427734296682550820517204787743734655931548381908871601101054212325087448983767309047921213803886643605371536870006902424873033569782236208219117
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 2,912-digit prime (218 intermediate primes).

Certified number2,912-digit prime
Certificatedownload
Certificate chainshow step 14 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064917188 --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":1100000009064917188},"decimal":true,"detail":2}}'