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 #1100000004814163084 5,077 digits created 2023-10-24

Value

8461419217222601035193430804762905889883712179978393533576325843019800425010248583261151131910165802513747435489995790809781566420781339691070252826684907270471199926970630132649287960730252107494978810310205975815902759773214517322329794227253257873633982806655412102169592247988800743188530866707183527350381204813492208024033619599064004802537500159925901912767324970520357987994254135102607432816691039366221065301210439977931638703664474264314224732119877541263165827355536059299032234598164201258379975935416585165698283425117885457125017546528545725369754496060952912196867346343197405830596884337040204364285399426702687008835026099458330746930911938107790155370971126838131091660214479790612092337916983756200438933190055341965438899756843143731786547044585581026448450732963315724192944758209976463197568446875770007295330843343364856973370039872380583584131169332048518208423565429692435714021727508386117152359765028476992845841646111180989780125676161447718248068491031594032877643010054989535855518147431180906111444717555834564104535477332314985890364737663014392333598977234527059455330089804325817231104701209914275868003035784230931246249688989438648269708647843424515843239935464561212119551973361931984756552509119750152387313770445636320013540396939397186121310406234658245693617672493925897841141636359647897415184934051661871546047509530500869030835086122102214983924742880703343245502380044553779666733284806091534562958915454251916794389973692325606487546173678163268053036852149296443404855905688769635642099157210299949065288502129164823887095450755453843472748900559355999034940996817246661416918907795921325579129233329800480145327651727235403448252629872905367283369157738734542294365369683447736781835535414921715190514710653547759750311924293541364479806263263603831099235456826990538926886802994567232713613953010763732064082243462697775263927372799696399403446936360951010910487578917957921409507119568170585688992587821354482537343253206638332569920273244653795918973531505145837043509522150356556172185369900279845365537963734358861060182841975955256775493917897442086159564099838420101273686397290962960870429474110478720357079870576962895676566715695609551226658423828468134921733693464878159665987313781164531342863920175988095352408566932009942197322664838600517833037068798069158238951175316948074138873913168187520656725357994664876322353388700310305906609088992306487583865905784504568350522577915023200493118479107304411498620385879679979340109206997933657128703639741156353497862943400897099840532739355301589804413177453574423116959902695735889062462127422819432562916509477662444463689973408715593142550086910996824313080467066885486619186602390568811443142778764016034779732527794244795557412004579981340592443466852972848346716772275824396283446413348179496981479824493404957783495697299478741193554150793654012322671352360528388474882820044420187959494213286079926986754552093377745764755465353439249979708786535648270783427384644062408984069670719786155220992640299688528170132733605047815652121769459791292655392841155746206483068669028969541900706894664448020860584867581184179809642510133709040916882174365951958732408411334766047391206394025679250606257296364774751783758900195919154843976756113318359681421073495794497173498818566378818652631378586871384387027394079035183375955813164349957355829375817124487859330431909289996542470066836661948779972203627549634840670123543690743552944652577333081464013396343512405510970752184514751515520187535604872467681074794295321505950159069874630200453469187923311502521624200810020200151522217118511632739543847894622138925323100439553685765444654372538084008833050336580128468903779899216768515952421525344962526616150043947094769081226453049483027768437336535368511296420358116621844882503993602780653688289428213845767904735379407133058630485506682898407915231508669498315759215492662794958897906872016362086848400328391365464022418623486649328406544733221232761980150232836653394365379002604924163405303864886150948039206149888831319403070805961185506888082505387301762446851409781669279336527180587027089779045508317822820948896304678601795875244851291397468272410656950631917867290485201210791254436057630321301660094864449069836368555238179526568272834361083618030966463288875200154907095515905817382275653831086952626548498696822663439378843625494440912826813257460917149042772326243705279065513321339205426935411593018167712848279566166268460520874724964539547483480925298327215184721175511537395162078787589416453304798168223143931811541508756504085547471859214920979197252408207084581448825811294278628271082820703621915243450351028332719178251142763741350535505718181536802597188013625988504402172996051900404068935047250594832200169333662466806163596987329202821670796089568531740313687543625413029197402702864364427315358871108534310925355809945002369237249388844312243360461946673835960541007837912001237824215591455824012850100471227910734194967409408203538964390160818180711243354933868547648661648236637652026746921718642283154532459735667460028991020773515719
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 5,882-digit prime (611 intermediate primes).

Certified number5,882-digit prime
Certificatedownload
Certificate chainshow step 76 of 611

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814163084 --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":1100000004814163084},"decimal":true,"detail":2}}'