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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 #1100000008647888487 4,816 digits created 2026-02-27

Value

8643110048308548479428947415079810924463010266346589312758024210424450852094640130499266236546190672490885972712850917228492522148949979719956639551691148986607067831825174639097068129061419383089064373245076754885811485976348029318785413124248109618174508466648329898150417019577243741896972059195181355258111386680134374794182140439193163415754925297648886313131822529645553874898458136066192180380447311976970768996728062253189383597437848192505316934779490390602425537436588369681418278343508676215182832617576913687866829578814356680667217830572614717221499372634119493689849307408642217660552948607436294818643401345001611955514095867569034678447078423565331439135620579492090293568579089875822893027230331400181399282255663513988778909615121012219269153363318616748788872303968482111026716820216649975105725319377267291887681594615337984264431799459067084756522914080210233191116665562686469957975735885956133759804882365231392135559278790666520811093622646627589555382259275705824918473072068581071052453571610334955963701782092497767200291654671786352066883283203792232973172138226702967039909015481653316079502983345357071401154847480201314767486635148164519138048721826404759246899966004080890529462148227191991454844200889595143725987208285466284587203259616243505819952755895901724174240192317176439372129841700047515836249697462534901756573115635369110789530939725278005274179524684556179944439226065285692013617525364002986118062306457240337940392373679745458369470071421879911745356517514446519253110996026612170014184778839732656389979443066167926242467412698732444860670158661933055367844344910956335190961295480881074011209621780442205861590979764429012340380191928672428585080963690208880774851590869766743933302263711672397016284115449697757307614123192537307626366870745104875820290853627929107935923789251391775339466072131682667155361874151463417659710441718516145053716446648835749344334965654557496123117705713928901761398623499258280201288880343653958321670254406661431232024928324665761794370916494645514715282382738929865550475658535011809301878010748954034197727480714616168104944604489124554438853356895185053493332410856087153630821958971158761154599647942491253481360721252388484534127206111519988613920639598162760435674283017221966175418472524932946437112267311744558893435456980002311795329298042325467498898963763748639367731397282766683490133211407143263242049280612696345248919138819943051813481271080097740368490546261514548531358825864123563905110269759006494444220153656363955757220126898667441591282591083742213197904208600962454370671131441972396144042945521590569855732488147224099888998607879056312807045562096793729586315648426014465273312402918200303378746258963238241250612635185958265010452941221332072316796044947179102438658071725384418590722825595779345023302439258890617074468831090308245465639183140349180748958300566221436181786554112864418802613498522231706469649880418975546204195565994668187228374559424675954571751182817928577100487596635706879255823780101199357624711376001285842542055124178496041294317406591079759881969999827617018669656223786236127054338058336682015290625150267027289855793394314109800524333024935673343238966228324638937946770746298528895392585540429387702861298177629490696856455481916358316032147335128127374803421076149608211823624503921707727943856545822018371536636070752134132862751690242545837634408703376579600101532721314052488792157634457618165507595717929224285421601534104391797280580109321133019886889478234828745318289237122379976069505856205609065779438447675569705889992778565655551431436981815084869128276282028631863398670866523625659035499103474504383603553149857101347677396590925374117079710710916918628978956482884030743273723622472932029649442798996706266365974692890929718440047965239888623388286034923667073564186049566477525426703870635615982899274718771358106790762720356278132824545993527063679164961573276635270451938269218831162888834457964015559585762929516921070865219250238304164110713944993864705977469623929170048520113954056519798089502671735482127346500070859178709377126172091056740937162791921585332048320942714111757482540084468430881860186360722327179486799418831107069209958334691728083602199301002461054927923728878056527949063139914377787456514541579633907671246165642143094877263154054593832150340968893762858557614925656050726850281801763956524189445984819751909780305632855319881450507103845981211007964000926572088974725602717901552096082459637360445955286514922537985023800960898490009505103021989890454807476454588841681401033467422650863851739958207933008617210479128663830757259734285411040239634172186317265642473610757590816664830581015933552468991309929700518985465935015922877629924389475391531940125984710710320129962765107334522700048863313137634322339698410131129179795690589
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 5,688-digit prime (357 intermediate primes).

Certified number5,688-digit prime
Certificatedownload
Certificate chainshow step 59 of 357

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008647888487 --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":1100000008647888487},"decimal":true,"detail":2}}'