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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 #1100000004861550521 2,749 digits created 2023-10-24

Value

1997092964474344557890508582954314504713892775723179083702550506360964443045769086530000692543186587051497168734433714249833676921504819074067766376091811876923026153985787030242468476933592691550616192370621410172828224547365426686383590962891172640979930937073568278672020674823132619831420112169634766501899995133060171477716176452309476665882105251074198226086444503504355372586390886799036262099031600405406321761471781239067610595792629321514638342261983995672976725669919202443967426140871778491481401031641897141024541447299176231231020207341352744343622812256782007990316898372086011265731034423985131907772774645348907637075712160830937634670701168309346416524171924816838660554909890285503571620931385981650207666833779539449421457353341939794544202245744171574574770542471014247378972715414978704189606649924859235398642045082279668205784812784794705066725275947157483596418900822377018779310655577302574307623954048399853612532963604791264997623900542376314416290329501979263174433363006020129823164962805698673705788908767330580369618679600115087934765213180709921291199378418565552286648711283054724105089103518239303175208998210705167328786089123758654464717884600559432747347573287695350257662347779556550923190559170689802455959974955131160593477275154009319267206876580770240848830597292769921966938061538303222169451940344881822642341874146441238967901432529621970865639807570546101893518217680129238670578775957447243108068746881841481987704451304641342935892059740101038747079284232551981756914750423094654454757050898726044506187941818765893212154103273109813741808830094687286766544973301918086003454603875293692323775445196232756610018579297914360824450922940035871223056730119698989271885987335534445447971630309658580869770845720336470247431617729445589447731258516480518932650529012906695909522905604596481540274903880242369438288643408715065829794970589257121214739809402445961635382149835205215884817236113587842870591732795475786998597683622152560011605858037089382295485745659076955092588279892406298829685368878434435751844214902150762283423821516944187413658136072157205793885343479141346698213192290653541077428743170347924954504869962587871484373719829964351634166737018528908252366605585185535543910761825243086515718387124355689726637410571374664074567297283899338841797837060719379641368330871124262423655451088527698475133411449737019099776431853651851591229782247796681736412909510018481229306225391781266722545765855590318540107162308306206881870731795795828521143518929098218011464543987327436410276395609101178006537776745287897641259719972679352745558464069604368459627793401641903150790879505790116528360017602562305210197447272535430335746562977661457634255471506478222576812534247539613973417947883933
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 17 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861550521 --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":1100000004861550521},"decimal":true,"detail":2}}'