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 #1100000008659087182 5,520 digits created 2026-03-03

Value

589819573323396071155528769515236389498457376289709932244916637142063508548667049808402985835522760857296180258483436899893184197087288924221247644095539036089514806463379775565695033794468706725749587730820282942980632192986038716314859957217002869036654301167161826563600964429016941269003312060832107578412049407024933400601631739315346719535254415556712240519659413266848632473142177015223028649992474471027701359736778601313105958199444321566766653519337083760373576415167567756551486302202387367779587467678596463600284551471992520032220206419922181991312973840337169728235346626998528270384829339838329394155131470591989332579364958643889716026587591000573748631763031436272348333104909649717024662522726386601920698736310908876400056210062392140082742006019579920664391443958607800894074286574973946651007553730112061040670011033682073476878545786740938143605695159331296233877648142306806361843283018696892959281726035099622408186822919827270379146700222218609174276292707988536202163119984501244758354624803132836537734948097711229126355367528894779425689087164574192730151290960746808039731373828675845221233211700998838140545222883121215181291734731833001376815667642244614999846125323479393502180376392950536001589849142843316764603362244576385815067741020399860549820530078358879452170171188140923068263915172497219369218568340822188977517783546774930204225737840223973873627838039985360447072818900885969987385163586768433231454564944765909883722053281516947360253781839086349390381195155318746163350793616750401241321268986860437304019967769947052273753462915725730910961449809524847673814928789446571119846663564147926093724122385094182267129767943010832215534274350325790885838660972839371223919743107797542686546740860877338474764179931508915525609571798101272635889111681991109912349340321580672402702571458765065510294144052068345661515160779909748518004141356990517456025146214337637849520837129521320670472638988574418242234711133851839684979775605602349848292040766147567113764835265669057133856973329062381765286801948749305712374365821175241619872574657644285295595543563265854793656951435406134791777791215947755947717314650832447539664606628849557119512044657415105156598807748390812787445522143848146460604065116970316248152689034791558709446890920574053210648898368683929134755349306823721566438583286474042440225743013710974343797519183433488852564724803024955790353493727926680797408068036236366999185847460821769860031801304111556336959220968193461312462745408230032445843966834061859739471172267007292745355021561157298136994406499677038293677653733743818463896040859464268887023076678033889785365738516093256143911224706539898509370253060939610602164004492460278332102581303580176003514407073936070801841429073004190765045684923619355560429364467000142695666684556752633358328576623899170517621048272380793572988800493094277884182134642019898636938483264106715279034091603874369234094825102296410000789588298085319786806641297813921601337984857207695398854191972819943302110631897741405552494154347146294552681064636058749460937366735760607225898592263718201590975869847503761826786008280461296044799488082296631284933861074208735909764889123304852659483904296635700118488981574723946439825720307751256963861393534725933728412234507398398407539853280577221100519433692115085268237763801111012124742609203910445701321493935323713986252910582060953386985223439471595240429931672649262766898793785859127870886934508959791235377291109253917979006019578972378475555740831136674536298803980456769744856832365457933672064062060823037437655710803650619136716150993892384660248765529920336479307414169448240092944403557622793833165563075646882606868952464055939045627992371343128254527448978299987262365869029319166802693871549080645697763943851329382045944721489476165779326829947828329234350236939692343495531065385225087630392739632609121296443998451502271141007021352236164473769421121856896335684561927141650543250021290306382344943143607655129286147479517398664905250590042826096628805788220622214364043697873350719083795510028435801580993939786501610450335867298828686387309763790635387081850073814996337043389786523164257878947970567055304898831319895371330779492087569731224634966083683513349516140883808283679917949553811573112319854232503493982802127986534621529782467419569007790923737523706658399968284567593720224567811356192094854093337812932719854187593632569034411166356599140495577214302540695624436564140269595905567697154513583536392002460391650103185677675769481755560255072348058000437872873176898789430378664150715931462231854427124748383150248005472422298590081466866506939059359682374767258746408201810723386119278363116454771499659343621813759288173098153909845266652997599112727190091696502062345236892536687041396355120740217399446299747895066684545618756409669845886905405510055378604043094622343421675681749627124125558607422580897994185540300816992929586189410674536552967798236452193601786771943347427909215804817867923302796753644167856242355684674140496209992607222822926859652048763632118709284036720767898367297611624869981259967077187352680854855138384822079089437595698668412852451271851387751893182606677015848405826144272268113479712813573384982323968397179483973836063771594969236525787932299904512788353837368760506827379882740921387748517055163458123178230028555309438068046528740601098144962409356940343181189617999655581457491920296993681018907477930849360711124506703090705518910703439750878986056214353869472244881374271030460668582220071339505397
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 6,385-digit prime (412 intermediate primes).

Certified number6,385-digit prime
Certificatedownload
Certificate chainshow step 61 of 412

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008659087182 --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":1100000008659087182},"decimal":true,"detail":2}}'