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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 #1100000004888220287 2,263 digits created 2023-10-25

Value

1236706173869055193943694960936121884034394048694889643098098807773301532450349437409625422096771139706447442487532713822246528948353643117049513958580016645204509201037395982416833187672614498796010292094584138660552646175718196508504283031696836218448985925570046795491749989554091744582343742404850207707570166827214020896458699980842932972351740752760809418865715153422071170534158126633487698196323553044934755121564377761324990018855050119170274347929688219071132745897237716561232876341743259992370483205816637412720359264402989866430856245036045349486668302217588416458670354908006946323827539234862773834526184369572900574582261334194899484449486861878371371409715174469361502338882600019020399210091476005795162396990134639663228825995976707787569654888944396437186506224538946741002056129788626254409656421732291226102934579709655147019921135276642722912918841982641531301400966263480022234908445399091714002517045236868732289688562627359650564445961209787005278717804562999730199031615014593716388189446958535242004398353141847360543035468263172941442193733001303553028032824615170446521321190553878591514662163972721569219825730503119738623953475088189476262385194405463494453008607802604213843300045586395355567149793729000772705559445469242668161569163498277857235151537915194867472731625850683372041100089317581974314412620989325001512838748466101848641735904885416620305271292834984483538902457744404287683549079947576779891810720303879047174485486331854637871496321019181354382862546425817998318681969000179238298637644969421146210476975961396424499045526541358551469786866002396058042685878388270746806513303254795463615342577013273651738391018517119492058328538370382007373928801226714478806357425392846686359398480294452018188330879714267834624880557065739487297537709795173633814665646156146233215767930961420973669441382145363795665270290738992982416904384202018386402155967667227842518469566908038408173271741749244152573534588128882613652107673395816205680722246183599685209292146398000511551906815543677723650615217782377595668308385062779402892284598798567682412109671574093876806126894641223596247818904055773205704083547792205024374811798640425159112065421276216232283200122987082204079178543170833189273937161581389957192598200412261
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,282-digit prime (252 intermediate primes).

Certified number2,282-digit prime
Certificatedownload
Certificate chainshow step 3 of 252

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888220287 --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":1100000004888220287},"decimal":true,"detail":2}}'