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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 #1100000005814635471 3,779 digits created 2024-01-27

Value

90361273073052980168233190488491240890858417920475498546586769267827741063380414218494731506564336746894837037137238921293133065088399851373053726347007409512781994314108822585491540388200775144569369687923861938065145855495151923767628627028776315192078001844602670409906758116826351688659211520875293105364382330308096199651115073433805627749499227542590611790878461978513689090085535916127606288686806219904099296975731370421114032907714902681439379653447535838553964045634408565734017730907221794641497692426993058922916276257683609615134446194572976400795385161615884806679307324452368741806013001769360674910567768448810774921559807707493281180955943185865415829078323327172391562196940174334367360368167294598575823324530682540326021674468434551777011734012170274634986909851418884774540667617017622930356489738771870270995720270393186006192486327234819972149518964752704583913992947254227788357097274313145501303940509556585831172647200591463383124112409243603546956980036331509200728739421111274716070710303012566695437411590494701530603656454843532118738336474995317622557009805014967851829330192063552243896532045789020561287684691227247550885339957938362506018938283655296531615330423997303269479498911503268024023793965753031675336985754065024445038017783053787268624437640414424695587258160129320569436873859395793147292962257976030524328344366440983282183198086988266262265533353813070020434093808605162027989473576238342407897528846297133355682860773332189083856431491774152293472849531498370923518874699979195903143819299364840495235364305408712803871706537176493596766188177687132546620101800732177225768323933483089585419705062001626628081723012883739551555319405272285188492671272261579034024363735622091923324052317169455691626121129865183051685500609655335288211289457629609349691742805753845751978393906472061914382099838322536512551680784547494722469134891260306620619441755684813614495039250537100929443930349607655750519267042170408172187619004775128152525550804414288749457733059093537448801608933461244088996345019050408901984332843749854579463548038077515803201289369656240839763334642938225241601101166019640081236906311150966206540503648708454694435123961562572169010864889529535931517826488813716425268169737241804669999459256355475797923018773400444379344228523129286502953455569547497950024960340323283813883648250424178754284598265378049412165646276026153571418983002716797645413732696998437341241827378495395933602377879563642011370566083622309250941348254975052799475816101510316176528272140896449605455112761789070824094005543649592158575356555047335044276037121093470062343197504158624409312856244389532887481232305440319574105629863303629103494356942400737718835708622492645892297808095591824537236783398879752847042731482472952821791744742826227046968920079775504169164476655046901506935796523766757362859632758980055983674214936950841277488260507240701034528283396130465895644203825053888204300686845966932043716209777053984960169630491483404876893630920852471012014828108591712489387917201036316608147906894352575091892564955447391098594806327961903991342073461921535925660461242957758441017444135438623537603068660713733784951122543649598932545141036435452124634517656159578596464548732095466662139096085212979156060398355183018549907213808601699257944210451429561004933281103113172495985667368064961538525484565193236717758781327280019068456710257935500531097405522643863102137265718819994099739043714918172955413721531263332008643760211322395723324837255760019934313195499720142253357775696469639048384442662375386011190510788043278107984269166335413362498931190555581814196619756648731340865596310332291278563790825316160684494086985780464986649224907459394614145440374064090617049591226031197227390820654732575405119534060453444971
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 4,051-digit prime (233 intermediate primes).

Certified number4,051-digit prime
Certificatedownload
Certificate chainshow step 18 of 233

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814635471 --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":1100000005814635471},"decimal":true,"detail":2}}'