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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 #1100000004849398518 2,967 digits created 2023-10-24

Value

410531221450687328368549128776843946441283270928670876804455432533150347485399031707388970124224814833183278404214995468078731382033287996221516762051358862088796170996537408625209169496076633136233963424902761532105807489550832678515202430564105939090743915250023748199149581890230346111247799563040968706739984819923404792775496463469476438620969131333784718842785004414052482546294515904146590328421487235946847529851860191215083293851773766902198056492719645405404958971218806606058478289618128098907998413988514247622738289340041466449930088264871341833024876957163575236128359024435655240364718525926425661889761342460645770062206850904242821552928949905592823251210050980941950143147528344469850308545775169431244075858741361541185741908791120641229859043177588361940831380598928688286778835977544696157866865029242306097059432958043568724073185943995967149897257856590445144019903528663312519895345281820550021890258866927484736960277416545316873385869169613464625182993744912990077090264620512270422328888471973687949812169686806424864023039828103757409865015466476203203400691141525862142937397604511738790422547042304429258448723551035545445182203146722192615790673526717641244404543213357241576612930865209346737542082304572363750841039036444534394163518995465147662669139505726415708437251256328205636788371877399804960224392697250308033576340214140906094243295335848660223343733376791722725836318057422448533897183324249614435236933227680224289902941390076288026047116319098178663226073782778540232461396434703136160189938109330287204553441246688843612076287138371561857387298936375413656696835072159980762634366385101124324659931212071911143334820378912967423793801192668809204747033689297115214044446444873734907532948573592642673597390236240413077668192055397532947896257061681638367878904009801750836816787429981349231370390836260699038671290760089615944123814060315553633449729294525550297968402688393854795266189031549645956995583365204194571803232889210621638000485703972237981946417467767322638948264838518675191607905690241873725680880851403424639880332184460591355794508721974891141138404728880925015286193147667323297164971312715818044266386370507824183811553584987186501027348953372123650767134945816587584440609053911409154603160927022714018359884366770941773169515288520375367042247423705283823441382649378167714682984064439991564477297975259309621987047584051606752251577382170228144989941212218429527690367681426724292705207358004304153646271954124899559702332241528587539500527100357626356213018667967336120111667877660296891301294926518517784179983401266231969260580058147091418837683743040436336776654543111451423912817039392198355491302181608924521699182860431610451191156756977798190826288552712887347222981653711315923279533907139515551319898674048764208386620283886052110745924403961608489820131395257698073113363697938846487364380585180793795362705006205354696759430904693254764430138884168089570860367426822495773673503591537237
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 3,251-digit prime (396 intermediate primes).

Certified number3,251-digit prime
Certificatedownload
Certificate chainshow step 37 of 396

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004849398518 --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":1100000004849398518},"decimal":true,"detail":2}}'