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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 #1100000010597892646 2,851 digits created 2026-10-06

Value

4728422189550322636214555826355577426910228685808009653100878790080139333256768551709060921741890862730886338363482302562432692402186185251139493717539213004910131943668564860975773233610386413102654378776883740179943867410248350399139774022566441108935421228210627378254468889314115213656081908068971051327837320593624994357270366029538834176514002134558340414459508119414977252296675983894885934774471698232412161670212500457839172578651993519778003043161621774690817881255044812652068598780169620113197701002436744113463072538238951427076085621805577728998754264421067162597517556116384081286499119920386123823615604814639730028309383729460212836717397814194273242383971624886511176829956044128954400360026058451065790846400952620420736886620092429829771654499634775329812207642365972055622077079265094901352765026936214877378046027371200438361382341755271977585221643935630625763843926648035878912086089248891959695635684082259533768946205198608007890083061025827078590900602496188579467226178007384471086299189035663288453509016780068073579722175141348770945411594395139240766986703935746147735889244726883741796629373133203708277062522267535672427450887977629939622696746921589284831012516794672681048693764037119351026875761697385460563090938751952997458493726946137786481296116916970311118060396328224452210528276459867252779362066969418112352508263840454540420985461322769755605516999506232188056123074684454097581586525803962515010161531738827242574793467507605910284594610827365192251080297438260851717942873064714645696822194431757587383588198315648396226148482412998900541425007463613908713452523104620866823709390344745822763690796366413555509780718308187602314810539827891493735333799755737229206187409320794625503466577138970285119039926739701540396679364920821741928870259222789029249615890889318163654530230401206689527692546344156379735877883170118824567080966182229772066786312531105208512045742078843611097455420740118636088826535783696658471917545973790635255661302137458453785270750290752630732055123981681883586179877849245863043603804528496892431304181769750914983077709387426904238989201183924184150363908330633401473626816047630835030042730705947263086837888625673703725638714646497081102195830601659894653204216047527882412404724926864504987347826092331910734530644494136728286963677829234922836658692818109540635312530783727920085314798198205170283081892849417790343038151060826175829066025403152146812310255698208787806739654120944158658383452596684410191618846792467262094115027569520168429373312750505385126539397760844102781968529514708757839399597751397834548702341099286753107097703044254833994288592265332678254298078714454994617987418823113298508965096133452432999843430987091697590128072746580089894393887677612316769255178110278290153821339879781078541349790226236009006676920335121886646560589115683451031891681
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 3,195-digit prime (313 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 32 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597892646 --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":1100000010597892646},"decimal":true,"detail":2}}'