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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 #1100000004896163575 2,091 digits created 2023-10-25

Value

217965544995770582900917875197547496304170569874715667295395604740999130181590427513627570118773423408949596816660053860517573013073196669215625139599547679396977203388883847378926580705101929819947151859435282819784089345704544038510697549080447980106600431610235832500494078080465437760668556654478210948916846842619683989308762817977430891608325685182637071858355530970178112351054897893929117975394593748972669667645231572200078003046482468359427574568184091735560500593237089264788461045740373403483238402383630881702857019306479260550296527159049322180682804357097201836844929061198037134999534336908314226892385677915631876989721557801975100734742250849579804818029511103122452380039199518741089709971163930681912490132124859213342483141101820488383202283958800076870747350772257199742331556707219110554788869227726148664120729035171433067207193017693275320623762177957761694969501644077996477445302983027861942475695550238670326321570782872801292671163398971548932275131000778323396958856018788027093600893603732137577229506087990341692324891903810960300260244923977950546969937858295027093537230665304919187868806374027653802938691589671832332999896946365410558148638904459559212313303697503707879329548137241992498058752414524881343987653447034608179081639966327996253557785971013564147394535909055988852966087720123613829445768909926307981634799186714371744338346007106570329315100922486188437194280551410954343926198759760102328517775976227444587795447455865031200751145945099027355577894234670619635175544269382080705808351876574813032192830139768966105762042162072687773569847951375517329955693822537692023063742510946505434179196066118284021800788802990559002968351558082778460226523293427020708715547400747055517959421136106971587501075652078258692683012397692239927734180203637480229779224716130790642364537035394683116844458163160913810001179961220333296678680758326452144021547878667204090919229105095450089167903084595884120094458448076940541055235580325129130392854704849894402785795642777124230628696755464295840302702769209272279802354352191138331623195712702147808977
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,158-digit prime (167 intermediate primes).

Certified number2,158-digit prime
Certificatedownload
Certificate chainshow step 7 of 167

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004896163575 --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":1100000004896163575},"decimal":true,"detail":2}}'