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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 #1100000004827241253 3,470 digits created 2023-10-24

Value

34352731227244419606763237632580965907448828291023494561684429989898152253702037038864233296154372212281947609062168524132374044521873121695534040506260689292761608226975522677918873659078432719050522708249275958296054272075344507623501266236625402112371594996546309205968094247507025609061468922319946370323089685554571914075641687601836318689085694063648246386899875609031062948113058736784393580388634944423983184482944561802709651271199621164912135237651673012345543878677772907762415981612158181879649145577550447370595985103493259063204284834853325926181879213916871256774230661397083142264950124089426147319815197133372148269530112391875632564546111308552182110463149120899934825880312792329605725951322262244467846322483191391672081284543336110775857039363131868261225288321231694117127480860381683665984440269411177025004335578332758271924275588551727584531492245625974034815049933963751700278208373547713340157829679987662665563900363557943801192546509680795946202953449705527780908826577213993653324289331627189190938509080380182306668276672836254001541111259332837535276986654516718179475213624066356840186691302062383480844256380466427082383086903633787080946302700810860115971130591826598483396268280573935715705345402718034115932237665287095007340707294121293383539026424314718916994828553503962825702105059193878478053124787166936941340172730427716369475280768678488639116418804714263600366210831250282701947322412120923634125881166001859381815955762693583021101786808021827405003469427590089824258955916543298429767426945151625885325803479559360605687999880903786164662077238432966583290490492331151567393557202472254649691880564540109217703733103938498636470906568798281852197499356605855986576056026491241228840087198498047984216664160159952000218735065235257954583285606464229184232957720566519248890586354563186507225130187741929419040285196507258299874703611650325985354003404041892563650732398063859811595651442259754504305412759007657302755776119497256211844051636732726383997126789792519359409895872234739620669173007025767206006075857599910330145564405142494374909521512329678560287839350983771060781625219517850309055147244220538697865339650875255306483164256522178864778393249754710225440006957032052248474506585908598641363995783804202343095091997296964189713329216731002882704516940334100054584727206036283969435408045649506084681708130118523054321961432576613064197943743870124591564351996122326005677773323516817387410706457408062123348017124034928578604500529174308931288007129923167244925312688589031022047093514152748399729374861412038599111096492707573876236010247946696584627767008706433643530086180787565514794017142165341698841171910865651025749597747011086715530088323847420078495327258588261202028053662826364629198541558296739569425655280945759843524951263201350653479685086585359005274238332916890338486508603889641375862158136931368441881989798761860102960221149830584103543255890271859228990918740088098549426088003379526987767957505819138721512188072997004487838977659665965910932056815949475073040438880714147178013159164697750875784926852713817769617258125115073974142918306309960174160773833352896012774519836757849642801050964701515664010915920655513009158177334747350361232621332864949942126851407218113031344394952326770846548619666854079144324149493317613903689779631154982116323159411115128709038762562365790871747237716255514750586363399098487300937085121555843014308337225317720737373788100158301913726476386528131
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 4,191-digit prime (449 intermediate primes).

Certified number4,191-digit prime
Certificatedownload
Certificate chainshow step 66 of 449

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004827241253 --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":1100000004827241253},"decimal":true,"detail":2}}'