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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 #1100000008649183492 5,945 digits created 2026-02-28

Value

15191430586494872345965978761616815238299498277482485594292454755090496985111743391517360590808710290402366077667617657777430539080565937172703360264287709558059501499724511671449836704706250976777605712689164572048027722514333904482761132902494713673324160476182728905039744168735942634073069298989572622336581936469945769955029143040638326329499315763107947082136487722493857386083269407890449714521276542658355740222967413956325304461687961767896321156211571004157637600508742251022760072316967666821564631410864737645627230975029693632296571077435917375599322918399456574849538027924168610735124170847423533679855506461675771896455600262361103274429204481014463169993484756660736037088302304636872939292662381549991391400371396633542879798753979263001377211112286234222751866343903210024093830191506969253118905241853151782606630459759498351357020585342822714973485532248470302575849660035965086496985461102245250604099935806679578373428750572321682002632408372129881869746028229289455620506321222273944399940652291903678968352820294325589501415415357080879782786076552617510498142390904563344160488142884948663017988591294874873198790783077140568214320169386225275861548851215911575925846923654289695160810373582628485942239682342570936625500764776026629316735211569462780942745479596556719785797881559289981251167414420583416603631010412316150491456960917871348697147614144332924099656826853804858824119003588996440696920482572753804609813605692339058337354660841506239898130577122101592562271013659829611984157546067721236656409418857072090423035579380489527281370505041859564499327592333105653176752523188453686691692101225570149699998154233311650263571704789037379170872080587752639910415052063970924658055105041071763402779634426241008843506100221430831998554796638728745696893328916578292702492933594899620480140866255635056431159626943742836599760599848748783557242531053662726324645526675370514797085853851499277901699906965266392090654920466294635932966485795113728033701523252580676942874534544663920754792435283228791015930811942010739649806659427289817921531412676467640601710380670311531564362801495099267947917720631827278200600877934878621986182524248075000340913886452121706201879782887751480241147966036658402196042122456631755401144006028550316145292742084787629715178982914591749575443132364382908533512323024002830390106784370036409799591829762275786783728049310730073857609344894628579528763881621003517198998349570295975987515607102492829422022874414490023568533727983959800450684696207898042708644269311710617838837301091620055109809930035610978179509101860004966640559201300878699237804594022205399493157934995051405384742454909246486632140564384149421042502989468090804282265096706221588186936070014776485422891854343466769738678144887794872933140401946348646816588534352549012549700621371996228648710415212677860758050212595315394013356898102578895698941894975072435112063342728400986315799940145576196863088167599845548900414909046099189166928379220523452674647895107732139715077396706268138158711083845366362990953989258194334956874583070428393203389718290318638901598357066438965347821747012221674710970121776561267606072524071007538367195164017916317751284585616432891434729139230693438288867386495840624073129566104251454786020810177839161994462897996156181706924299914787161620513370984169413804420514912352740260537695088940063399377015226159186232118126636328626703083359940785988025623871069716176492543481257396056764645778923919657141340655768340554420319545926201649674997268353879657023955986301513383034999133525329956357324742091323875222918370234749329393415593817189551874697481131623505000273312795951590843864876302652330723141203108733863079696197500250563156112266714741581692939725167673410530133519664891794138753410551155647213513945239287123424286833495028739042199324067568673498913141147404479048724410782248587635210022300118210797815344321670660110807257056630485092557130649585352821724078243045170154212251428127425810664965326691621556358522963460997387773987781260620541785804000879168489357301690134566945009282853508538695704317871112768383995203272650989625274147163925830723642642094013204241813403838026275751675591471652516094303558368369215182893795362680098115101635417330893608055024588983231821557386248076359779812239113381445012799928370167578018109878676005307043949230817468250007063704158721815885220448389953990778857745595642564251407769094456110710051425044922062723078823384694579302243872042518804361365075985901696190375660838880894492090907217363482532664356948996391299883649620367013762874152510134454723985230880955174960299582908825347152957834427799312172553266974606273996295744343065256416395534175789698858503670086968359818982459308396376292109190447321923692809638780397518370083231887968083949765016504605927515666096993376139709975338635420032945296327395861252849014456222143291429351746600976038076387378121234647158450448619214259818551602309681748797192534489594944298365737504015715968905378089054197027017449270454386611396108458989226874742680380817949230108021009977902047563235871173465461260087213962700938253671386887857605789618481187265306805172697934384848013415302386316246534103985696251345351219326899123358272892309153395844402397460812507781562814242807676386707707852197530115869796582434207670306106411362434305589441637242113890027018571764314698189494684558700992751599854810788081795501734002802120914460800514697353369423964453763488979615738513431023183615156207422277550234546885216695270270213260411119545998268441055841777835894797923575985094726135660186931316795944333144491459312029293622697175093846732312416248227887425367258802056974452503335374626025913419867882180690940205698584032814348160028083536070503104339081636583211670725195056236637721897431259345672428708713772549206616199162447796092940438088088130241290472259473079893526718927525178985560666967979678955502891848456897013164647744133813905528867
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 6,103-digit prime (392 intermediate primes).

Certified number6,103-digit prime
Certificatedownload
Certificate chainshow step 12 of 392

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008649183492 --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":1100000008649183492},"decimal":true,"detail":2}}'