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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 #1100000004825919041 4,128 digits created 2023-10-24

Value

219305164363002320713865512372276839027115219255731743533134126447800168341553253290491134765019637929484551452494540762283119406122672577941725538478721976517070265525927957785110993131519289204656019173972910189653976403140414757174274609016853372631700842607544339711306361703345161148186641531689714303891299802462393366352127155744527892992873830340214555065846615370261295522173459100695382736149902049940337753286564637170898655457418965747933430275188911089130300150364094058692524276997484369607775279563887815266280787229643262670459261071960896249448703957545187962714188164078031555663451942761275153333216716344048881629758787964065719727925423310951397125753948372888893566421886019027727872196717923320649436298361012561171587006590124476054943334628624282622325594495404395061012614405843564013989325445307565862769764974158950578889136957981643046595564353172345656276118942755871317247670456806925690221463384995818689391504972218825838419386831110064593571413417514226812761893262787046543858681570043978396525906049653157489008000618781170610683644808797497883846990062585261951428271094448199084912179416378364231135902676956430464735146852628881093821065357779924640651489460763349489688152215483522409324651922564704853757650894364671703275976071340787059792331427786732257247696298595312295667546649946790193323632072691950765528600894195203668375263860667710718485361941551498354039599925701665696148497686921225996050918499148158182306257426225105762799543267482232959783023651875047194600910515839225479323202485545182442398549419316170730150058938490163730788130730930797790228962267888349834184206644838969516866636990265311516785938220626087055675313399098722820928046008550291688080109671514236602199456583789816592265088650008127627705053899294086556390952944494997106837529452773165794492857675169179887864678504738626601169604070260140116002297198001292433555300584196105678133538550945377273334877507866250686084199515369857002283904124782706832033826922172173497588085497179387367839738979923557595385097607290234103206587743047723207370351272852661724535465322911550715003487983843832226171370250374655202740874838258209627432624241963770075692088449260949354866351487006755356914374172234301674181874951242390909767463360387427265735455165219807808295904375427534971487981281870213157336659736422471010921629664409277755892192195439581035883524677655744462663819249175450195381413880356136424879976209391120213974951201382696522992921276068586251520810213485859117519111476076650097409617526636003017604525251760921758130685467561059968290780509847374110770833440008773351358286453501650802586331933516193095395865035829741498533001650165960540846371864766517036387923821687005396256270687431702727273678831927715208421184932457800374980854316261196983138430618215330086661617798338760785717827144536179834082881273345338507823355999711758518105828091687008143529181167127283629947610586798949083045774892627103730337139719189315462280396659539920984111373811471264974356640799786946557554497279491422214054577588832033364440463426876172444032134089820734583721441613452857737453871971827405306777979586547166380786717047978778204466647888961535776056744659521706364091045241552546253135150597820239019855940135290287461161775452081975788779887767837641284116845303218641869743913922735473322379967360270262865827879921530988745765760761942908537496817975036427290571891049073178621944951999380646861027387670368650941976609086197490999936676697171331077104689240646899133939390068599637124719516219420440591262814824609214709319673177272617698859487378968905706302918243574956972380821737674207762248509317129848285625693389812861766881861395885958895317636041372234534576658757450685322963273005013213159563777323862396585917073125666307023788386472930368616151881158503519121442034539090629897796534480726439099156714317560700493466551447147802516677555690466781075881045933263971458956640650875343303618322899540554213471628533765704108874729127959287373536964768548103292680179507537998185489165809782580203378203795576656677882963196382739685233786278153033104284696692768365194669339
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 4,284-digit prime (458 intermediate primes).

Certified number4,284-digit prime
Certificatedownload
Certificate chainshow step 16 of 458

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825919041 --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":1100000004825919041},"decimal":true,"detail":2}}'