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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 #1100000004835845305 3,279 digits created 2023-10-24

Value

812535518917093699697264875194851569035949334324093170910541130146006585068399207236295330725190232797882733996482138176493867315910953265518019509775572952116767017994572599867188755988421873649325172304501340475163464881333325947503029840001096919033413201971809826858050546307458310046350486041863012178334156686266852240411115118669710384856765720461502043148783276563842876694481167220650692278758854418764271936377819745309547636174510123362888874214766870088856690279385230669660258924085079741392468766156336456085690010934537051510848980101275053671637457127343168936013627086256583856283215696946156171774151848371474560374851718064186023534304503238028622102075174885467024208165137100720988604294667358363142845043868285241722686638003297280067728480347189093247711886834415853879051951889215135773094476944857669198439141192271520929226635029571729769102015797667345647164015669219700128498233745418674207701393691679448812374330763221013204273278802319538878831089309467016871119240010211018615664272724352986651258685256183560494318813614113089037614682406168048828989382225847941515528713387353270380949561339287611287646901551818957967485026699577845822095918398358776496554355373744145321769395828461051180450051254061248128192945573828931141737218047947174938059899067776067795716068173998266855297697055587500099015725190534735135382478362196841529971925901275656657408318569515543964850949635647918492423057991767498439131852964733182152178622595798443077708688071737045990301793883817905811801743263714346528469354525742732403538836989777954552648292392063741516805726317581866071210831806400155273974838566469086541451874208362757938773103084608564378809873710139869297415348813738657857199565368686931337377789081349336368821185883265557495411415319708719909663623974602848621302221662532095530021328157844947540699229637952110836626337976772286513711182793933876310408106362649653717709168444598456844184729980805590165229733296764085529096594923454578809326685981337850005266223889293408599446050795730833207686299071270574432617973600959639198171314366299255960423360460500371592349300217117259154254093682631864751046322639129018838633052805182807988239487112141536302060525114189931297269865435759609359235326102146876420617117007236052173251502771425886034860093851998007675112981994340812918753734405258810471317770173465634316126796648980265112520291798395712651827114895599346230015413154631869362177504961289692038258934848708370898316690005662849829401756843646719823221646939972583042784381657662602633101121339210433151777457741033485264576065377659442034483107206999650919780206315976370057055273944230525808728204270365314712251586308981655090790077638164584230308788735692543607540946380725590178269974084211552643821110379489397522677364822262478422201666077133270709605441852966805043039416210834899868861944942502384068401394805971278305231724217677530384987268146518973753754227258462673737084985702693142925785734951653202435702314976363809289272757279228192297159883764607838532541094387630370282926833829945745252848696669292315011931920484733670942705289660003289001101468718094578756496104193207227475315914361189227809930098132697527776351829021285378624513263556822294984307661152521516197908801497007709683069390820271688204323
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 3,683-digit prime (410 intermediate primes).

Certified number3,683-digit prime
Certificatedownload
Certificate chainshow step 44 of 410

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835845305 --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":1100000004835845305},"decimal":true,"detail":2}}'