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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 #1100000008801115974 4,018 digits created 2026-05-11

Value

1570189611731728993988053002298241966654104908347591046161602853050820806184822385434293867811267914909049534427602279035455085951785027961946070324068035616253795517508373275937473536081620857821391204906719279026930383433736730342384461097858224178067652478468133696957832416370482292417295056094334836478403002060488441082786845968548906475867886358339889948159835966490204838503042611692664127408223744048644480469699428241282901685892326130264660091270773578187902714595913786908764299131946745756572624987460004099217807114079097508579768646871053696209407749514194023742175254544636487235207535042669497641221193506509917074822828164998303799215332315483119805306616204697293876517452760037681564019042620072251747575255446194391253924886541228008095333265918892915443033898173001157743101219037316932644993858539223103918831072407546579149247866857571240976527112036864023740504247410254421940025278910346905856454755248226433900139245728217654539794215754011709523276590042048233342088151238413142443001184440910923050536180169569352677942689221615482098534381758770919990324041756857062747851863789621914473096626367495103547500631150832351608753620759890043662982918647890419051764181943154871785547515411147854981576555272530179397583485141371752929305015895245166529578148707952317643936753676987772858493395829947147910372674753429759218644417236855857754385085232891861174218602271362633960796874854003047312250813427296413206069850648140651576574232171017586394404829015154274466191737913816266828126314740372374133513526754149368443331983650959405259161214675361968116003493299247479120997973810851947688293721113836199121487397090776523859237620699369875220324390865390983533640799113530716294526287733144733208760366188393264542642182456702310992734686932296214233913173863355243930965860207780177238231978421978366020315618315756384851784001849132854276495153922254510577607197034953918924625254967987281494437884356685949801657069411891979964485132377025630783418644334496940550814551505159027525573861763373591917377192520062745871960649786941720001635595597677312704972228785574968265149229988324105993641364912152557952333989894636852558010709978611121326035937634954118499836581784438682015455994001210327946457687350686596075685669562668626838557977493374636054789060103824881230885607934366683815851779887342522128890890429473558972688509394369473371613155233238104193677444594246073050361148075406010349547061335257535994014918580677181824904032810792908050984763971993933484387758120640111448800172908246412593387600160382302747982802317624652242857376854630829077846650211446559772573779677767351087115534263415172410402515635976269269161959088601791884318356238475832440506765014919467676503145293800146877305168519066885148018237621545466802505439099144863480793446678296888706468821397848359097390576148820526277562517672223998827182996185050689187609408719887284197473844648946434405696198492685936665057805688917220326160709832505436774846283580872152023648225117954162562506093844075437635165158709129265724625350315950692829908906479903039411239476454053255337944230950756447000628305269681998979056468723843061428599953652673717863500477550878263294487895756524712105139606599956051702604002034664333953656265654134105202259647831586474760670921221367602107814070879676631665979575898491966691161948581561941101289664223405139495317746177602034651498403916677188664517842596383767611740073562180154049658798696535974814466094389052322288301895032473110873795222751303407303647197639047481449377873609762319727322204351970683341391789620268913357292023708883917297017586650835499823218421828502255609343766471256991281634361054192215185926770976032475103744670750233117065649024404416269457051318213299644033911990637858548799154713353933822225249150449446205574402103977711332235905599134736595331314982521048353069535319325641454603204067855237311072734671628940319328186400969202781970422167479920004932041801146991271168496259312800970700540997401819576470482057105332961839223
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 159 of the certificate chain of a 6,368-digit prime (411 intermediate primes).

Certified number6,368-digit prime
Certificatedownload
Certificate chainshow step 159 of 411

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008801115974 --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":1100000008801115974},"decimal":true,"detail":2}}'