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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 #1100000004814906970 4,928 digits created 2023-10-24

Value

31132753179052699389792409230523440199539546127109248911561211754060997790945225343163271448303260218541622145808288766893775492210899209681574182160281494393182696915055143782486703971640750256545395233820889776384637689743854007454106122524062538451746894030576864085341440427784873390439215902244934796585951273720489639141262860604021712865989778524397285460070883108700064977866382221346718746992553483189464628361963370903847422918644189208604018492035664915156099223441352797537549703430583286881121111438301093548947568177451093638588381500955416212667367572086011271757811113909712257755136582542760517586544061890223599047651855540626068172906190554857587129871111235802103635353857103199215471455462893527502981716472757456524346642812408829553053439542523890327585262083681173062318626766585852915996193953838193982159265509306600249207839479878852992519349126150802734644808489198835651767823973415773487774128766599805458069032181526346223875884917235194249075738376882083419172052154357145866337667637129554624187730296638973993098591071088042457125238120543476181217680677904232316308795868297172951597575606790866651604304564429458818196171755287196505228428764563360560924938201571776646703622612022123209403881951108786826137452444391314483374226444537315180731069332958735049168075076962775835852131155084537681286111796463630723286383670045144993013796044668032712561342631930862410021302250027399115212568223549472768055967200127593176847416601741712656376058144065923850801743547382397295640088321686585623400367378700170712160066664180745074125960099903004463860025774592608838865153775546827352095408008158299401612443606751687632194510581511169622205250167816025581592806605476647847844786215588401450095661350154318342307256228648469992356382424865031016598972506629516960350418921434604963902918784568509129689402401049464415941680809585962572688226012176064843747506155752071946325872334214788350613898535813407626420748053352036114152456241393930263966749320545379271278406891933309377611653050130437858934492555768329653136374413812393631342115260042970076140981013032910392818855598351768732310849842766669862388039202924769051782800358648769962944252989620203102541855324416642735599303129597646299012034321824669642177829626455772936151472306222752112537383143964288881667253415455080245031690058339884708355345778898021018175300977629525022713329715401796369484850562359840723614904856256782579559870559527514885178511153243211368932549264179159360913305091540680029717394673715810098141982447395690998922452493850714002140777927943892128927101957834391878983745462674024515238961661956917231993532471186086538716975482383525613976548058736420889186045942067269497033496579157864711401487888220533725529726294756189574681959515776641929149342170392290637837321243512361673814564636102965166030462399530213666752883554023141374656168456500663054500908007135486473515186288589272658198508919319641281288531434553873563481606127136579536901487940738461233375138661258361212273842618599192300338361839936904625009624127469623916374049141272782799219732508160476695924398359024626503601192136293639560889083564251817916944497396024463247552923192896525302052518459694196846840353642109139137966744362018897170099916517578867397635254723541450384995642147951846959897394486902524154544930374320281175903466789313462616400017977198421957006513143158678882715052168406388604889626883981876101936297896708094552961578816204404261974645088762493936583365331644112864948505398457902159960575978428684545568851141397545048925144760290497363738968159675875563612335157501438449467142128042968555467645872222002820332548553874955905327266920789918393924556182591391971561693543479406957879985835372479624058610504380286052752355345490719518325909007366481847462668791399599206457311845193223717958014972017466742375507318891071464231205937739212271632819756221249477876806631070955628848162949384891141076132328183050580586369421972594073874347647281093623422355487745968928003171810944899322415054892938576214252480742961957458327894610356336754833085156011056955011003186819392160019598502898343528381220000926284698744221361304064770292341923008869572173680456444593942213828855580003465776642965470464529808396881408236102317327224201511641329777901185227900452445492447885336599837203204558695874187834457113347914926789063663562095206358895527362373921882744110925539046657376899045461805308070285799203906789888510132580424644580971939243517068312264773998030178723672087054028165542952721818611653641953989294576388739156346274866938891334228465280065878601813458671053882637063856114654847188108468136148965071091541997833438867298390842704115274350535493097041294269038445256738267831658015252577995913800004927970417924937031152004232905843378120530889060522478441444104621274163028850321973936612438440636421194977787274635711186639944113010767590764057800677457608486217756903035279869816340077
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 53 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814906970 --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":1100000004814906970},"decimal":true,"detail":2}}'