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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 #1100000009130372658 3,124 digits created 2026-09-02

Value

3690163673529724302025340870730675473081188055228440296561579795926216225022474753521470862130076564146206458842782815822925947532666046210303125608991753636937922099199145434538932477757752002345229817917747506482080088773224222026461054338923209039111603312863333297148672909948333522483388757284395101727208576106476121050610320905779259609506303600124879476558398405851248785287653862035753999933506409851564376645012508538950851266667065796426559335576516410041217402931882705806885517054469113103500326412575078770932646313889088905011089745628494195871202439787252674762656754631842110878070953398911996449009232691280975694844327091823916266451906697455678359759860948813971827877573731627469105245079322520288638317013084842917051124652341527749305692883900828294813666403357920350333284320999102864162157529465073919701025120570871597901902843577190158485628695491560846372149245065612105529163103967333262398758780263733736133327598169582960156306846775822664128380943887061885413873637723207719896887563668662216705470064939133117298861456684493254508018984100435030833366577177947663014414456746371602724205200835417052493098094663175711840597986066454255896650156301928929517188336112567132997251186791213548502704441064641974931152488920875031571164973832502009602654429403852750003064355374995896876478774587371397973930066859538593398445810911659077151276800571837578834646690860759979211403770548025075989955602383236194071296535929873905215469236687117906947806580504850754753108652096161356740432187316841951422925481334317081286348315515957094137109710984619865535685307863043517779344214427193621644134866443931819839217632694667421127289227868575611167913317016028279152445590750181615142499797651344037534094074681865478804225604391228366283915622742894612164163663022078823094906795765867868795143501135949809092254608032472188490192374237816091490824323859355683141640531135243010946025038487623700919893277047683258724789756083642736496009249798413533286093583703162965970066620533043836566187331718995693898899829591340531313108337222779047128564343869244224940199293429360063372201209428158029439304799735521861856981632357605246320536313243720581695195457025693592687441902330829972296756705804521531497597104030016687326843957780248881646476495958537363385924493373128075198202929450264863626464183085470531584431947361637618631311500502652255392550400783750895745199473542500593278090506848514963603588826797215615477349194621492498702277757425269995025895554036293666373940284193428504817147985339041214112581250033340208372323079976116077141108507923732625131254960361448704079878810462792965304816360930346689020991537334419077953960520935789345884469448612876474389988137952310666035490197339152803542946096954156799859147431617504947996504596409310811423750687474041087345026604668581262163738445527333358656089093021441568002870200259717742979716224466469707718018524977136972831456508569700165682123215066275790084137432209624804951784580178819647040084744237823328852113227901735437356347522764471494576075104865348871629269598481301607099488303021357203296077262670840359527932155031
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 4 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130372658 --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":1100000009130372658},"decimal":true,"detail":2}}'