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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 #1100000004821659734 4,656 digits created 2023-10-24

Value

357394397216886118071925707228597744556563707732789332428692774471371129317091325944278203265825344411930935137312900435712425020155568402334664700187063663686170655668324738528007732494807896494420080138742726797492684884433285901884404513861277143967054796671405796468188019814496647826594789985237982553675057399248604889112949647159357322927631547525205193357959927684972776860628250018694304694879944444528694219055071876218629646302110746921302159327606069432863214195471026744109887621343624171364618206612693933918877771858464486984945533787391892318478324145601926324233192149511835638365554131553427431068642031378968942716942622605145871487717983773917796666280640457351504593935634448334586354461867745126899597569890774904311837788381530343485255889655240335165339741713451057010924181531771036999456424510913286542009477420702655314910755133463631861613939002582884485984378790834592908790212668990126142381374308618807733593136069856594367847006100742503598939858066675701681625513237634209821717517934327207184548970817674741586738391666576268585911948293707964878125327289508408885651501600783296539801027606025424101351303796589681398502845592690425679579899479367852347958767601372432131257050016695317020065095110369097852630039371319283521552180672248432188359501498096381403650240090086933515674300767803516991700009196499545724017853963679564983992990024285282521623590221196739035968847024741521571735222412195588234797321410833293473369297556754118068987898067262939976110993733747023139620136024653235167741737677700607728572460297540515376111180398496052327473760880646708628276572456046936780398892062392653878953073699814044679248349844286969904519343241439805740722290164777915395327953886261975276357470841160265495893765723353687357341391456421939089441449886949827600892606793943517875467402326206936408768868471228387734413228342345559890139148006510427460301513948780273989149521113391369369257734889493406720840239511946517249550808251978317294404025357157018520629753367110534763067286922666116064474455286099038066157954921887841963767794845375822000437363115714181455075817339883504296312343501724245536320636098714198192649158016135980114270937966971242425844403930460196532711166613643024446401145550572900402074920527949630267704796160011364312836750085233860881910668715530643265055472494320030321141979582840778564100677066647176178723303529022779718362508078937792367639557025952199007057461445338900268088632571427094981506701907706655737152719275018111863100053833253051134700997673187608363621392318427839179811072998590564676548362371619352490070280427705016390528448564987042864047314635014598045440890168129194032824408995011880689715801722296802147789955021816685810917446278839721131590267502475226758386967489629102514737579224129968688790193809793045641021122805107366466371799718720075740281452464172153879163322985288852236757190530582019391278759689894751109538754767190601613726073131806574010580630664415434925781162926233397862053431819048972960377901794218535141016324342513865178656367279762919742604179543255339554363205575676423940331931847524027433804673951261614743404853630469019094069890735740385021727274510767051440352761034279756246568532647003953348510767752878462573459497462778144447133898760441191798365720645822307976882012182964066436853972504210466929381120324228394469822620391722749697328165829466758504138593887981119454582780373519936865127247560164258767042913999504581734753977512286487878724729670620176407051707599877355902598473611127563101375512903255441490469101173980218088567020061088037668619653266997240408772609272992100248388237336934160827484474831042192225058274491047391167009499942539566605200263499413269564300291333439112403556557189450918717406545058437594313393190830484300116143708597049227545940553651193611142595034839872657001534580836027760115631494258843153057196354804464357139363169560462002745169744389374362854291042344118219553182359493689959521428034609069790861447090281072950795409596294820010668204288594661455428656025089624230339254812870362989495722997967052591415440971053150998769528459770494696816508072976853883766615432435876374371680095062277973969598067943557066074876475215042895578149873772119603713791329761943949904346535264431420597266537525622977469615566697957278240795863937930440538326609924667327301355350542535634350080229785766873023040546312595437719795230070117704533471405296636162788129929415519716435937456140324924913310622737560991820095422445623201553760282682854365114627086785467757173613784475869977916289795336916200131670368833388702206338674130100198072951916959387434975084380287454309003038762691627
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 4,744-digit prime (510 intermediate primes).

Certified number4,744-digit prime
Certificatedownload
Certificate chainshow step 9 of 510

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004821659734 --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":1100000004821659734},"decimal":true,"detail":2}}'