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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 #1100000007106566108 3,204 digits created 2024-05-24

Value

153582843681125581162828301502890640036698323999136829701768317085799136406750420776485250854066369054532853184442587784587757220558243847792081241151081468007462261519804460183841009960461028571826106750721766409014216890765731082236080001393305169224995756824224918077462192310631521025061397870640954719975755541208976610402781806127887185365374582823255976674431232104935750078172581506936205678407882461550326619858874637779990273633586533251469156320936432583787042765725887421171108921980177612004567717920077953434503314693948188560514759616993940520485065104777030255405460989375780061863885988922026072542672762531762873412994546489893797303252248248725603907752479789118161933418246871203879240172833387064532098561992760140712947741290380420533060602494217431903529202836040347074053306301660367523055736057414326935855289353519660375353927778859675699101301642592506536914338190770083247389385063568931191157671487482967505871301543175626593979113757364743740127696672672079107752940995775959458667885349093661340348170626471976645986514545413780448894278685442661798660460507324007312203513215526224917507447808866993011047261763903932961226856466826485876377409153701283891672084767222387626892653229772925972077553192896103143887932047559961212553259993978448180859741169469543932283021507735163675973316358141841498689360761252463445291767283577808077101305676327669192163689409991436839649528983711008861769795875136856043353062049027409463740998111538452465514244471733708175942696297894069332858916741373089454501523356787868870894910516416548931932952299938138852138965215646876837772937865946566541454152587158398460712282101943228613398876761017344045170130534688183727544291552225224899050911296488834280179282710648764197262764324110198103617356564000440560473649124771350074967937923162632655899292897569523278216506125866399657777618061200500650779002471009127127375211208112957147236690941624403817233238354223159160661020301213828483820708887363222205725815839166040165577474133790358197983808421048783641152340242096844122880135064725875361817250027888421989926100590006517756334910972111208012948559819152836878937487944433494583066471002999231949511335498622085347494742823365892917792654723818877785622761416206330938735889822762304930996759325337357086324404383708874171211564485479606010067933070580719406481354846864659075587514564734714690466580403146651942097519313450017154540216026584722658500146612820306298381879765143329265085393175130936377760777952065335843782431959124726430141110936251955347603807061698642200266405307386430828296716138772345131767507157560271913255504457261460431523824254052805280685816107605188747437569379628254045026868002718600524483887397222846463602457854524256547313302555695610359944223479739761776734593263221553462211118930638768026849613240079081782351406447863424351960191900924288246671435586499682233278971008156078751543930335705568976911662805872105429885000470949063361896015510186156568515528841605897625305317274680844893173274422105778868153494660207541009344768856179950930625550106707568305696418122517585047827893703886197177694906044704891237515011001832777251726234851693578662261378956677626417188859649282631003
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 3,492-digit prime (258 intermediate primes).

Certified number3,492-digit prime
Certificatedownload
Certificate chainshow step 24 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566108 --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":1100000007106566108},"decimal":true,"detail":2}}'