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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 #1100000004842046421 3,318 digits created 2023-10-24

Value

212081660775429519303578057059865679479641021770334198450743827534906887572675111210609189409223058506334797976357620202285405189576587393618840829614819815121504066186188723104221087232135582640122843619239647601744210140040224075894116727825114416389359967010025430685148618734029864831151408166445290811350496546693974765610928394557951558718806728616718782304960919300574892537456454506430334256958102869353975020277483685732297540421701409010199845779034822081043301742495481775217311404696370683945294755341521510670861395324238579596145552066965283576410314746848427451102197119669753927300833221982988570185308986556797004806003892758155045022515166715146139566865955346746076923135718574370547724678557378952306255130404954380257472524750991306416026227512314071398350365693981525819125286334267447586096789912537959570673518740310046980624521987161272039489792810201186084838561332602250964404548430092093256089163104258055844921492888678820173226476927142518089420233219010981763948151010240383478299552758412561365975410577309934092403688767389932921859445820617302869451789854147421530240472210995034732204482455430954197100689540157261627655673374739399845928184597300436052833754153692474131440358223792668098875772009432420840958151994450803886789922408540072909702791202495741367630558920991233958227339561292453194736754629417652911965127307095905064511392840584534898190651444653350268206616623626863618938788704745627869610609458442428203362745496045090289556310813481584590318212949420507445768536430869899495437504942053604394207753117296818502304619996101375257128492620024783965772977645213915286742217707721598330669208472245291005740517569320500934423398805731859005738573114244546355628984466618449700986609849904644385054965552000360596482483542578668838035440462697715946296692594496630212437611499300281769461053626071679516931707498044584733043935339579285651505268070652070924157798831869567436932051973971838755225927979870710291428551053484955417810790180675644068996716812478696804084384582050489827289174409619395443675859534212272696179975681258710877547624030278546752235364714846474733815103195705986114098229490859831428681211280353884326942121693575694117392599352410088815048124507705040749771609758629912686445371345741983250247370571020281358109221869490364529786049914819058383791864449933944010569864350781022069587404036531330470855560238002641840343921218885612560363287963160873377383427546138958585145558430059052836357116816217668254686762613816478545020991049455904286998700759425409787382698617840869639432742782900902033622227369666835842942297832806321126383125043025042190244694113204756005303430504761284085206482345058093640206172926893277972473809017737025383600678371631776251881257693464382930470715729746574022322497589691082941673334091615225812407649345536847737035958359353551292490150025832959590099483497127730403506104375840024390887351157460374041820139842534713836642249008087554435802325872282548363500205277308429546550027752857695688767364345331817527948285132736533315708269795237426614668063395018248721159171549427978361797933089750710793635293185511728612539077031754644404197788982849751431163227020682546981851352362792708951414446741267773055028471777983284431643484255543948522466596747921690156309167329617144218259405216495042925997969
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 3,419-digit prime (408 intermediate primes).

Certified number3,419-digit prime
Certificatedownload
Certificate chainshow step 16 of 408

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842046421 --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":1100000004842046421},"decimal":true,"detail":2}}'