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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 #1100000004816921409 3,620 digits created 2023-10-24

Value

65365911949866435683328950186093511879683877054904240190730230098079521703499667636218833105502659443165678128729690724964080597942713051001295532866173693057041321199093852651060208190777533028475088823205685822742044963495963831229781525677179856615085740768741851469762360159209439038337852659740943618436988077384535551997255712750586585774758558502501710903664237384370712155027219413757250562299640466243483356636099310089197526029262855074429208870240168728252685971488303869221028281586029576700966733596175007704236005124976514070887616778186040764122171510078024554168443020538398908310008934065303552449067364590556557789363412960692762429377348113617222474284747146326799765639055953677075780686868984998480634358145110218319223837887562770290593799579587008431708716209436699079992117191751378174345149994413406944269798140372902658150209878475654269444695408318684638345197948105213068257565211098785982991935492946462057847365746066826883711872219206986457928666164442981389262372054165317020847532661488063136669741049662341680148352371885441163001234877712626434996393801935702564599690794570707110095187216763301864831805923892829219439600412223100409569783132301211190853477553772303058116536711134073236374295178421809299603218083306086127335563212196496563582932854289641276071620367398846382391130795706478145434790651104265264604652084813035120430868766351509865957373641565750144491617774823348014883767719152819088205720624028265383010459845628628077327739876198685930743941631072753664373173778987515957884752069211105355627004287628739287090318142994004835703292753457224595628371525678548581489000968860662548585005387984904868202634700432788982609844806133767763198549237377597598804802742837624377396707828268603204139892784034847926040133708262577150120810427005396765502584106904579018002444813935019712584161468291196931048792603550012418942142811473958892017267299027677308321922514262101043788032347960395905884747102372221055889803064045217049819579576307706002503888889769541273164154921445449546066971106892826771786430791882713499517762946807841848463010198023797775675381445877744931690416350290051484873716879878147136198155872616441088293424668041679203418195626652611226059865004950542709286902963818478768432760411096970698224945226265926984434134199294717666565779069487264894288036979527530001587873577039488329658213744570083526790423618089286812647493468368086781542529114162162417584680752700084608184172801579014312751754251724859496032041017448363590448613662684736833542596499516535696471270902369769018412350296436843615287779820206575924744224658932999888265115463801704996526780772871121718228958543772979372043430178384493765249740266482446420506870910722975176004618314004774780958948294760250540554543373380316465779165348148111211025049161315610744510933256033420609858097762609762597064849814433915830992629827782892615738930883107718269829198260202141814304000713627221429727315413370041296893653666276159304125635932070934138109740514307118222388767203274973132655297357097355951549970726849236139950408895775586785482963279176881950522297826000497534351409974505010885120764698930801800855269638731095494519162200167776766555330322241908772848773260638415006060626198803216520320113262816800916292157158116662963668620025868852735620077794073341243896289145975573904659901338179855595513646686724506172614633091290494877524127540345831122900131464861217230675834144163810529682126294063346637486225497544240425729061870129779263523473865143131437955613575881077739345908516079938833227571126197961646384682994065494528042387618845527902692028613305174239981
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 169 of the certificate chain of a 5,268-digit prime (612 intermediate primes).

Certified number5,268-digit prime
Certificatedownload
Certificate chainshow step 169 of 612

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816921409 --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":1100000004816921409},"decimal":true,"detail":2}}'