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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 #1100000004822901129 4,400 digits created 2023-10-24

Value

22215630241340457124856648661149766213212505687975282552505994449087968092115599152055502111902752073828500632043834488326516973188253465905298559042474500327338106042618407778396576774802896539847001299529852442363283242256703036766089014762930038080739274196627607493898747967269979007139029438302293186601761827548087799036175181027912799940768598833054853446246184130700652298075327518957640551126903780280829136224973836371508838605772277168825058242197420433725796485484918534156265930922766633735463372360385012414005295392640200640068709356923412226571249218133163523013894159451929499365828722493800593631892198271777704180742370576793981934478975309608550581994014932738204723932329985683119582023762782345832213558235702420360681808352066654607852274676851699059682259825393717004452153048450513978715942153610132567042213043648852411134599201370888211729682525142169901710018743838985224065776687463141702015588289733506321700214578742427188889859489793098955590492294497048479924897905424322673165670073175579354077239061155927581374369593502115690906097223846521824699332253106097856546035108974670430646162176544278076774452130129662154914033934839757088648754370397194035690217491785944654763381031221444831770668046368113437020349962509266228759221346202140368889797668119884339428807200808155979345703965887902869865346154345329301166126057304490139728072459661884388833851090749698382970559709459479649679579876297187590420064946440685592917472268000195432047068019507183178329062865949400527388294326007224252654587163267663978865881048603369614852753213627290129948503879384936352942762885129464268681120496422607608739770593398650078193300311029539498473003737750904687700984636151225353169686247123566140776968885836171292853524730869280296958507736966394783514319896366507920608037921306135742927713483065495608894141100347984537540924253644984469597897907739002662698234963087540407438237438819669833514612240088820868503651131812053498662459754061018786796711935153735493207523818317176105207746646306907156006365918568666458082481391541454659189678759989382401241334679614425749577480385300026117440974629664540176002448940343827362655726789282571922709772238189126784038496138796620174933199739772598282852107743265785729995931840305399146178723677476991001259013992711204147689620769159333425446894625731230157054252933591161157406609236513001610881968417284089911388229278628986023277254094835667527101483314798279084643613814257318943044506726007719530108919686967258211018142968847025184604780067285949613709946465122808682518147351896200275720346140352558436789860440544107360227065299435936722685337785073267804671808895420746946933537305575432598354535296960267891396981170465315908325900270077715721044797888117155769252251072114506172218920671895992352956414958577879132277398437850666062376949372678758155896195007388250103238799623000428558043583216974490180261639386947933266370960452241483403580095127240175694031740359123960431550185835432866411320630589041687000015654419381892271254591682291804238553855416588382876705691748349524445274567506358924787181727322816458673489720648016429207385634465135108149854596558706894694570315259173948576272029193782582421195928645093688991530165898505536340600301243348315884966961764682078487494675499611152579719529206627667307220029856655449809195483484847413958328057316814523225058884963516882884293207423607043758478462569959970306158089193955979845555955840921566921075250403730055419138180767669898632227765964092897769985449102495318095774847054595522589103570168930631048486918849653557983251791734483604686741258800498769405946962615256531324871183777649744464114051770157758734617007639603356295391145554839959252373243459150273642543013464213536450368115499861437737119607161106936633982756400937033323784171724242391914646732014102310048105387269108594708936508346476316631067735127374536531165341701698735405247801436367151714003380104517999893562795813007818147877521026202150509482798237633742297624754217629972553350626886201811215105645180006634525411849977701524216777752392637022946934688615752854307588793960965163822933492905755157943949292726089518858538060681386301055698448102005640013057581237032032419289041142307173749780751804326471807971705304672757730658165295837490905648497974333177292798650292303007101084420703176285791218542877162685553892966379646673940392063471367360031701698421
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 4,600-digit prime (476 intermediate primes).

Certified number4,600-digit prime
Certificatedownload
Certificate chainshow step 22 of 476

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822901129 --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":1100000004822901129},"decimal":true,"detail":2}}'