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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 #1100000004836292084 3,308 digits created 2023-10-24

Value

19372294530466861146311998111518340665492706589412432197101077515827615639178383219542407682378765333506309115319793584424337986033076470189395080718426771536348000155778655407484680976043724251836269702707682539431228101016728644836601070915923318686367444424621163217901443727757077828652023999564421715968436412593902565034813174574008521407480084586427189098722075088162486312464812600576320907713850311015352754578726051646631597654282480342567748229964173755859282773310312704619701939182764601358024382563287503827834117772837707601784827516137321202368043064560862450323204186296568792352155711907843606603540035588270699103964531738237417633170887398636372761385250462469903329640042819846939499076905802745466349181067111498658286387581081851969233363031702981817326077216191864564332390017052822614097906661715559540193499109707380769072536212729075010242795672456788130980176778807486228369960253994592524386458083739641650362027003663854470307545262617794476477570663119127047521395621498585258737184519967420993690366939776242141871950717459533756837306220249660141269697996290445611944164693710359724110400000220487975555697024561456695858922673420959469666541618718983037835672822304137823027809921524075319369852961459297194926498472443611698432568123465089616750371860692925247467931953121862824105079060445078498886186562362571284088491677079973913185879533532195161536226610377399399104830295259278956217330062552704549129731471281529534967091840774067924757300465147725176304920376368913597382678867137803332651743844011069089481799481153694252242782095671461362872340022625159945083616757929334731024102995114599084584527736130437690690179574304596034172903404924448721352668243248120424601408713256096287561934358181850767810479276882399274995838432626332108081940250608129121219000617630135330642251750140798331598264083596644354100236480815169143235433348762030693739872026365845053453270689774827392444753393534305568763126361532788828285929158268543096694818864151032349131541680948900086616287291077794947878212392668518487332630870366229921840068883661957685164236127496256034685052931379405495418881502724576493242858472556552730662918988940092619305281039293570020586214997321717943867189118564036816283064285911455811137280076698500442815139083981709253608251620174095950182728542193874501933010558964367246103686105584947004036028038952559302840535125694255306978689102874395618605064921429708424740601107422630334167973556889656279135586148345853199081727781147259222100640329366337569537540203498515225098254820921600459727216283663653058085313020989050536615351437091942721451873552797849335420812875663559530390162215216863318603410679317509173633398398243145166566972333848918937277872713801949402599083364871081235813477779599792413514897804097638556033217789362392724759613300136721024839491410926613816398845495281200827553015427829366071886477937397520532907268105693950925030687868276290884200957617006881678694536614857507213398288645708765782043666857673644303571696520564520825898464873885713249620824942655275498452771604384429861585415175721903542228347580765166368816608266647443178878200282639061151259478134835928374004794611702898155656272666476406959444070180622301006082674199003797628547883644240916431494743915398507120327635380997334911994160153540553
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 3,651-digit prime (508 intermediate primes).

Certified number3,651-digit prime
Certificatedownload
Certificate chainshow step 47 of 508

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004836292084 --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":1100000004836292084},"decimal":true,"detail":2}}'