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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 #1100000000439186894 3,954 digits created before Nov 2018

Value

456608776979524267304980904583833048401647780445870181330080675905642814154940175733337626133115201185139533665683477225003096250125681595684554152138527700552023188625323420305196143936811387725194858180544859998638368067196280372554964833176635400724198533875276701125201665646536567942035244871267816152355219106018083613762095656619098596949810955848373059521645759630554675076619151253212351011053136062799000464230724121268330931508854558126151236059207468496896224485020588539140416191985693383417532716139500561865281755799326804262122949144546167729470716455447847729494194158277798195466735197844385222955557186536831674383244439432964668746479946492769194752472299310412215824808419726892772324162287536846090176228997616386304550078578569403833643525064680326641390304010238079359968518652096852104829998357145334585178152524002368628586491738915596709598629320955901130993291937093987463416492228338762584907427750687203562209882335453011883441875990215826818385399283180222538245898197421055398082536949628438472821814964997433568086701036302136201734588390582534689724663707174300958705003674028085700073528694932003632403400385160827637617218763173327479434491876373848884957279048209875603335288855198371289521966953776008525443486745464461342501906190732724485723731453548375878238481468934472230390407523331838537963723190768334298225192686620332859838651543780459719083861058207619308216810335501025500875187533881254360418220831812981378278484235327677472436345028013572103751620436070685342302163672481987451157195297739081397719877145843757087771023073569672751121806118280554339926800265069394239682796319275875462924925846301102067208456669841191951877925003561291322014595539615677453255657193353190079963423463396962478676727940015579582450902826460992793296248053628912538637436061283653048498650130283436355280875548825982925597046270743773195834656379590034319249005822193000838663552460128734714378473979775574359614183012284985626051331643211868470110261869626123426391755754937204942127392314907813611749408679946565002197882617032697698857583287047837422149401634528845752370264432611946136302731590848006154693443435101500724140410330689796434712460291633535468134076735664895580982072086181780315409656851187438456830333774173396872296688534107254120754392799867953710825405911900443023799841713699705980548799837714978491735507726518203465694171591147451392630736604757387801887119728898035154361547109096996038713833404731302200050162334889548650466612275220075383863191863934630871928130535875287820973313198546198228780418485978103189140749258168261201532862334060662345694842851955486625947021421421316950918380671939082280701071859764430806102083281112276303752349275728081987774295722372931339382007919566429023009687455250395208866083391379748586060546864807788976243714567724451374774867082496439229097516895487642729542856835029415669035262864396912133538470078837479324758613902655640794217785581985450119032195754049596328066240318191400132024212105743221573324235579582700292608360688761878941407162226357249650658989903140538526282603199323493659874015071701033711545710106907909175976253717132284867210057194149418898336232614715586510005732285873799508529506450496145112428945813933878846341980446636180551635752199664177387191447334926812036621360690100685906491675943591761651603690900846468993722054196073530888976823333570645315350593579215212815496250566150778793347630422413243016652246769347755755946815425013080018841460742804341448930391323869185923581746595929937487875545239963287079397145600460140923569210368637486348975565810220473186931807070381085268534391350783777479662041854718749816069860157603550278906806120346148567174898196093963926121355572795456499790037260100647678276629775702233864124389875500081894469750905335407958213343567869154893636787449457666316861868115756093092515550770482756748144401696471834345931034444472590918013024797210713123143741529566236775403664296601
term (989^1321-1)/988
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Is factor of

Primality

N-1 primality proofproven prime

Proven by a Pocklington (N-1) test, base 13.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000439186894 --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":1100000000439186894},"decimal":true,"detail":2}}'