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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 #1100000007106566161 2,558 digits created 2024-05-24

Value

88111043063560404244708306557559647475446228283229098361947407686731239756799867054001307649646233241104665356907154931524376492307899901490694390104906769349924488518643077417828643597218121063851255956683331480167605127304818740652111149715601702830910869612272656697628448646798395100137751609005024931734577730371860378204878147877723092042941664448704801057094571710950445056522244224818225708648937661294222746198998893407738308244719448657914239969112931686742554943563492979653592558777382449038510842308983207315463482498162070158161199753611745890580708259496257649571268822019061108184823546022824219725094714080622451116475448440942761222599209201261447239777479155525894739026697069283069937314587751285531640636812792264697077362129634598109424813285330753406665531855776253253081471272041040497631251198178204759538963580548349486904513442653651346162765012557279947821546123955594759007461694797095787091528008097286003474612192443020833288458344919077614286077909495522413397095366742451166873034802017879503572106279209506286832529248253699749162340303520940780507412921333321603799441574931737737002981199729249385871482018953801436804450438054254567796828653132503094837141772374871285110728719502129090142622901038456185785910922878490266625986536106872230006591577595879912173677729792127277076214068904005416008901094071608036834505551096439223718184929216923033300840696725416549154378102034871266947186729115495378720921442656851526696403246798213571698642831318105137860517950973476747127777950800279864763058574296604706860880159169190542109464496180222310289140749744320680338797467060775455471549831294027163201754773509372482157632942300921766537297667564082311655246555246538763388505535922212523480015126132633219162532787517680453775402138534795489992956166289970521287143898823229262043826907252019406287946015829120667605117034936198087926837930815554682129143165328647876157572507455346374975082741521324751793170822357773511892475613671361802482066798199467632782181571962136283976019448964547520178206693334445229820924042682505477156620626684595526776630427185032389768695999584295909242767334102582409405058228390675230867449573512983342053286055349863588350956084929167485138721016060340039970948115605581998730112110840221635480304745814026644669918724005864248441343347359219879567057404996028151018612817309899096763668681660282094375381372570036608094288809519916227659408750725530179824748683398990975240570977756418087472118754669302588210688028099188519252116079032731295123186412988095752152786991434656804147
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 3,492-digit prime (258 intermediate primes).

Certified number3,492-digit prime
Certificatedownload
Certificate chainshow step 68 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566161 --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":1100000007106566161},"decimal":true,"detail":2}}'