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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 #1100000004814908838 4,144 digits created 2023-10-24

Value

8441193796270996316487723195262746771107841984705952161147763836025878460659558354696737449203228443597616640543800542429264591448689823934070249122044524754142682598027951394042454019091037497452658296806015613851610973185480728410863306053492870550696169119145594676692156779096056397099950153418904890316494559531522196667416166449584359431170720817579918476957466850611814641947098602004844796605078476412301627242398767056150757773358748758009649478267265304641174092372039742405575144308369699347087794650143110627533840410959319444358568044145260189861042517524119556396823866898020855268478176991176016663927688403718471444657816624803080827690802539535413809043350658905260950364058641669971698336825937156314884415397383973206446332555463423824682529403733970340138974995324029663569103192693830451896150249911385045331597140748170169349930032044550138635442922267717044139582537891660714879182777589907608914900239796231706505269103664679815581049345031351400023957189812551443992027734543944493551861111981118560953823358115793448433309018112920952812063506676498082591295626240755601456259538999585307910493908124039990963474410595493639623814761865087289389022929572162674606252529244109288305316936831286173435581587726724102278286318759288635883884964860571936870938654413392539935025006538978658642829264116146704008402450551563631130464937228070570139046962686329710179084957496043737252954135505638014446138271272198425639993037717539540125508343416520560395607412461988878070086494423921596074372325164887559519978942007812703809789112865321301424836023639410997725626987654494980476768009345205939308709961952520502382243044063156798318104842779776560243809922423772991672967256410348634303950946635376858217297131827682971838749469631642982316977566967646088696587456849692121405329985253513649241833293010116414593443898227532996477113530939329410912610534070374068220679699876177068357246940785381206537744850489194196788144483473468538412509651019095576869682071001628979179166463542390341778378848565507839156189316987528042799964314339189596462422037627655888840170061718639175546844575937973250260574200510816308308599144149113071356676636613769925649647939797099767579002679478836689321678246828371579902413446969259306962870780388072055251716796616679850015906603845731418690364194939407272227078396218377302321486982453402330452688985277649409863954658395062525716375298522016981998178768188092768212343117422223998832062851289408250688954491537360909088134364805269721330045748423999682982133114172118101559172450736498909615568444828232540890235875255182461373957477652065503332289264284693463575924426716928682188153578778577285685812476522439304842220783155171614795973404710813426287913011181529454319852785188999989263988712156331676838698821968320453223736365383760085262464725174810515551507835794297996905798667389573771403805467183032509588287693784672743336408965101119816224536591852052221526419636903962366752069386673231617681790977664339676341744625793427025222918327024193715318305073222663694905978543661243494266693750567817034536231914075209172409654692968476935018296280732694636860958149116856159997938805758792088338846126101740639052588462255445121192186896941364979818239636804693655705876847410848426269150959547012564171831957494043468168868836248175664504797893465663442176583148990092632301463268928506478763366769126467566970570180270256940250651229803384245890317123999891138556459800372381541247203655989907229655440577724642066290367447006884964764186700314527708031132014074216078766328945681218685452241571254178595967569783755725596847098269037944642070140081084663074502677036838098473920501959554389503855211605424231308732873561588349097848167014768783803761330827005603836682960765346119365363726321173308541365075290017101455126565316096507744263625321998876381493457229832567465972428384261629706358911384888528243774175459674852417604046539200864559918678197019811080700753871865974066616738143947606430368172729516915374582006226900222879434519358351490891892877579118266630221978296726454436051854341013865616143346918271202912786696625939749612446659961310064917162859
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 131 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 131 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814908838 --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":1100000004814908838},"decimal":true,"detail":2}}'