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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 #1100000005843099123 4,813 digits created 2024-02-03

Value

4490488927397932822042361875537585843653232061566428626543262163299225737439714583345565383601404175046623186519545201585165656810683639275272420655971131993448727501024641042489285044224413654614115097280884649417762992183913458277467196592077130899714049686189771684879598024667738523904974762061684106617608905587015521621381517001916003767665572773376812248121116816916652460828135810329556090804723068777956902878069274633410536657517908791005358528279586806402831738463525969969940627116321483246833655491280023421649662537592789412167348266206996677099766035008595130882209716230465487143448382801067539950407762880122285369437222872248891270180716976461966378054996020501419515779334281116888006936159073436224512402347361894169747199636114795255534664782461237008262851752838629169125508513685203055741340494492908941740835165922703497216077046314264423131808789099119499029364164805483238902005806074359656099570222778219432912494905206412496847501750838188091844984172137142293242850166807380830449889798385810207395885195019120644200193955317458934351297430966877609923067147345195505206420858400560239467922286089516384023358032655125626130851703242564373526789245713777714681706689810867195137257230514737092906629059382660636238771544493539801794921575091227898162900969444982390569111896682797669209917008651081759462717668141311772368626401454372470770920194854217866427553261446168681312228913136222454541613939115067252495749086224514352394068223200815470512847252224102048208156577763104572644638487085140452606290121608523100678447137629697339995565669077992890576349927325054166455809622101240865213363355116039175471881209474865285445481302565133327741979356922453871976183938474937083466810803483307037386005049882426556125975825362794666391264481370392140707388100518158886018145544781653657232984544955789416700580347397452060395097177246487023855721985639236486156459788017403138699905297321734924429036183710884765987672791019679902941856628870353807764990757034891389319623582373146622502850318264463235295259572255269194383060991668457227476156109735385980286607500865958734302280331004847786966781221094835755999493372734869376612250842501030102782037967337547009479250035459331517476122083217622857204611256962831328592907559310000458690113208720450063925421031211589331914312473282487181289411088883694188128894465380334272452506530219996179388889339756261499100397887904953155912219307715055190989840783254446302214964651900721566145936334082739608660936788377188428552754776914317556183697659454749490631668482210998083233616948439097540562585942910247495376860406235835482538845383963137725389738893009610609101346307242888564148057310754143558212091519993635861719981654909290861765544190373108553956138428864141602784618273474398163749217836590414102803991892595701820867448270131337755313366955671681807898110789316708435123693462987567699923636182893816280896639213012931054488929132577817322514654743099458132155179433299115527668003734155799717540876315634787814603456568919103029357507782417194004412945445917465393293427583296561509806648964507279041175654350440410519691529455602437843743153031794074558389363506873863794470989583707129420644529512423106560831635216723360595045467740371250947669573159300145501878221221175700238736192434324074132454111165301415908976321295942785086024728514264223806250695059617846564938021416385531846114446333702102309432288673652801771458562835380612160679680238651345120790682372375975915560017969614246863180625720302504222985785723475287919487755371602075001684104690469450461351026230453610834360421696751056440817966854025481801352548564166690275718208161507094593883975936800960601581763689032859565503688999479471119965112088005456085601735423901640512485612358899260876401486726911482891266856538966165715338223554879570933715950723387504215139019990164973828072196659244000753330918524404773710408099186527479968068884124335375739763492044862471935706523528594879946120026096820394419672378755089558495943365690349829724968501142728040484757222829958749325679065073700348544869270525792901963652720146540166940234316385022601157921723557258020131512379365278661593156159611351765027498433028478174607151653226917899331885511328177077605338477641482757921367235670072271230189633800056708677088899899951378309163743487294489529738167848266182447109711136269071200236087701878367880777899317503893662385148910830795412869221862920911061048699485951784616644270127214906878509673273341724505801789619952928045654495027991601842521247208227369481882728044961626694069290898292897678716776274287417026975799466330446334563156555117389383382375202185861406089805227483075980216189525473522121744880430870428774786443073506498365628316899463085493912553850372879615661912700452744666496623107205655131180508413363101698158969097
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 4,973-digit prime (263 intermediate primes).

Certified number4,973-digit prime
Certificatedownload
Certificate chainshow step 12 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005843099123 --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":1100000005843099123},"decimal":true,"detail":2}}'