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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 #1100000004865717951 2,406 digits created 2023-10-24

Value

161766785396179621565316148394971307867763408219739672324966171202416941838115281228150227729986929086933454966017436591267893988677892111364788436866384476653751519353666868409303972479658955786269028103288796021562930191025952132095574173901320777507056761692369245909439669264186858461246107337479491150080259166723241398535377272431558732154219149420215494699551407087142630186455173698001797667592920705481387483336472740504194108996299468542103492774079606345171412229276919844158390949677007268766243592962100812203868885395928826828121301327363142272515786490247785991557406677514755928514245165329011866307005548713699752630869271407807175096855963294589203607840711406715224876747625257083110925583746715793054076833741394256119066950257412621438194954261877618318193494435345081955396754321181129388322069507032333913690516466055364225056619746251803384821561853341367909536997172838489400022686694333952666770876999177801851429364464428389387111311587384232498058797724697637928756225826191763110808361568084894035433855890212573643358277166319232768222022872773370378430443585970441021831246131278729028904884650900769197988051820533464816513912727690230692940658451681368126231733962302451227219935156247636778797259625378451410652966813931302163162572499397088714902388887258968614767524221551131419858768037935100871901370655726660063822206568765398810569196864951273516055625862809702002282455996385051713981956385090779292277194286052984344902301957841051519199826187281910126030910938446744061236971143252439937923919019308917803060430862194947646536925181834082561666375778388583096423459083390882564926649539353192423524169303844210113235175983995685695773923249555471478229510906110725294459390010347817649584960201510447693819070017807418638034866147691530061766800765606191261926999437064530529065323489221466847299614223276157760866614589719008064997727519740723117975623343750197484621203680146012097745934817220004576899020390150928193720935297244940644197635650432080690741134980456680435731020823696256778716495976775904513785350166697556880865333070128747224007707018859151724688562212220885329541758864949015144531008707811786441953548314456954340564598778292796046771252373835209856876280034148800074464118504383359490110848116982986992138116714736810675807407158101896637145844537255433841573072934391419477585500860144635533217695826584500318093204585744272681188812320473
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,777-digit prime (374 intermediate primes).

Certified number2,777-digit prime
Certificatedownload
Certificate chainshow step 47 of 374

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004865717951 --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":1100000004865717951},"decimal":true,"detail":2}}'