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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 #1100000010597897329 2,702 digits created 2026-10-06

Value

30871647222857278566973737549135462181781711926575195463117993281027859039448772656808625480353261342954977427967845486920521074135329160093052936199908469011977935053512794518787426414120512971433724379509412177016808647160095304543387160512415202105020374680579237749441846112099231906757425176837640751393627788723034512975563098395191019395245639925138454862556645524594082758139291679142813892763152136179170679050026588158780392084435761467210327126361920212798471068638491432797400474305605995400073669603982044582852210222618345668006826697758841588199428423191321856450204829779730206354800109577798854249893416806361786772245403685928531925435830326602111352412933977354284309685087822823173824032479061770104816023007722951315177552594108492048002640665848822526221875305947368495745094127537927914927652072014073090731618797141167558557779983720794220416489361826472215791106522771059788279706357332665118988469947650683347107745887828019860822556850302391156144956233799076108168753407331772287755818863568895665416071474370722808897338106480438776461653646461180455107430879487205329169869560729940293525186488640438591791664742786008278781444006471922999176497650460434852911770810082633397809577231069659186119202985156369027039099962900147600350568255472779254138239016071272355782415268505910888689714674868080041614363318419526314197882776098250306797189451695010074679440255109367149817480742737072020653944837245231403075381637314016479861644513489195611274666923976875489879059714436717636623288832599047954571166633117407023292985475211412694156829144755519801806590639015996043364402870894007210118421555413723852686757140308885197084528076842966588433092829046861828125366268750804235445245928488351418616763770274550586179213998154094818312070679167685143865928185316167125492081886305411851722270668089887884919414948942256138234558520689601849897343162804858347170308534896977693157544281236454196807143100131298261035279403367846262368672779959938004303026107159693801330563714257341114410223871827634735234702201270707662662158716187214139042209543305513887081747538883140996578129685262145082218867391231622779397265189351508067404244964265921109574458909132078347331141521688673651921989469118377013370342151379644195154005301943710635381541553677070678511847187751302238107007686018179906492114599593379614896580896872937781977246782858627973148035231467884038022203807844842533678375842535565810609320525967241535948889988577277991231113406855723661912961404043549761891543862410037500429068809810649831216251450293582703981340726854525173105582723936967281023678689137229407867245199300067171917039687490351639428998020266880302443367301917679361788543337464248324189
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 3,195-digit prime (230 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 36 of 230

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597897329 --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":1100000010597897329},"decimal":true,"detail":2}}'