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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 #1100000009123005026 2,121 digits created 2026-08-30

Value

174840225768871854608010066177487801917869126625096132295011708846409092384625806166235110636760186307082880416403770304993986848102627684336449209607915998325338500714683477166645460748138860937821451804992540698494711464192332363010022161502238707991947906718387797289034891936033771012886070491433074342759839549645490464810393039469882049717100063471816831997874983679031161780559685906819589414591547548630734331522956458578720126309462057726593176328011250588259777227429355374865794358085275396973954003965118047061624850469381233610773822807746518229755915619285298356427383728429859168850113027068048146621508917476323273789048167372222396189113201713226761096976823814261381680832882051564002317893017820824122306786654116605349456289779343189165986995676535796710091348866674299497749069094089530006814454280140051661889973885032910365847941972412985813752714820062338096815066579234781196534067378052906858070696652817998884722473497836865643665992896687092477457253681866609003850829971746990422567255918504633326388949088160196334878167649220073986973252263897504452302049460707033641874258187938063525618957725328280854803749987065883820049135814366570008253517737955165982656668599234179266693686606641510759222973481434657261433996263482636008287379309666169219658208537581153798485892696964172766764713501473242380689791717949097610578467632299426818292155861253526524454145001753504245003839515914164791652995385094503311170384340610891092138803893775076134377653921671703705996039242249567585035336116654273080165304425648709935011989617666911282752396580623681988706889467283342580860764581051982987137466925009626741817350861848226473145658395823544189525113578679874638792021972043942205755220247788612605935847633659755274589026900977376406736823169933003147795764158694136288345200289766159347087215571830104966887966017188534434129286134347279112415079617090433499561449076772341592478305998404554317284784238169505576926567892246380750557614279827919386187110832870039892477837205503106841505597658671374130067713250529887099804330068483667408240531626279577910987638673829242830918598657794259
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 3,053-digit prime (315 intermediate primes).

Certified number3,053-digit prime
Certificatedownload
Certificate chainshow step 88 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123005026 --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":1100000009123005026},"decimal":true,"detail":2}}'