factordbrpc · fdb
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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 #1100000004868278629 2,445 digits created 2023-10-25

Value

553878569129312807947294652523637420142348534758017387872835767547215556296831847862958682175221768194565915406445399728585192953036923510979341122193766433981214734720772908541445461312823568157557342738210710804759813591192909623267036630277465285542567268211454292203747393974366695638430832817465991041336622977033442537349026860007160043365173625185858284202921526470566130914679204083510965752530048466093454342397669767574032662593045587326155600049976290869368030562219588826713925642533165173789152254987327702012794983470710627495382444599881076873673211986218956894571729071179285249315830871892328131828187085703092715299948217162565412681032404751438995248513862972607011137414236110617900875173357543579104812980933362312680919758429796048384235193303985210711341265390287724988176181569044279538751458498701759287135403554792544109189685867474900232972334909454308425503940945623687957449062192815138366776966208551518866698906280312172000048882499216087444219418950387889370515174963894481500452288246143941605475107432459515595257721339597777915131489581165689168952317622913956384177865884585805981926997142315024761667211005760298080156325398273524562018458795145179572610963866938124187057821831980859100011936469270148500491702833141514878048871375231576674510396855475646341798075271526874631855191818477624107582264655605809832713098205334906079937216747596179007743856878959076747808963727865052000117950530441522519841347328970005810762063491230540592513465530550192639666124463116485985822754419795749041079029433359616702746907531245011554819341851627167289564394346100483326696062987904248749906161997697907262420619388081860076684848825358177718897745441996938958328000318580033140525487354812986426602457517486810478331353233605759266970831625476652631643301759704864670289178580028709708935334375353147475591159461609313714223955915434743249253458918243250764596645631681673643238344872140279117654414955479074693335812319731219668751183076532584897802731307713462827777494740389982266070786086418309898620059199493412290731861570799914572601010660727345664127983919688547241317048318778007693607933811311654877711505800458076797011583076309684811010476174902362586652464255343224127161289081651666228834560175383846899787879136069155760901431019053145902088977662465815745624322876430017463992306133261945540097882950186203825628320956098017472167625117517911369955612860315343039184951598712583767306865262945199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 2,706-digit prime (296 intermediate primes).

Certified number2,706-digit prime
Certificatedownload
Certificate chainshow step 28 of 296

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004868278629 --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":1100000004868278629},"decimal":true,"detail":2}}'