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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 #1100000004813324529 6,272 digits created 2023-10-24

Value

37261755132650093091012983796859007458742217015576761119042126275642734512288391662580000490664190378608099808133400057686195379943537743348394699596451657454075763968001378083112194799600858706804290094006411879683554963601986874027788492015565974418436675056238249477322721574994763920040269028434574427260272147898474840728325613717008072902725335904049250217937153074371257733401595197840179581481094061837816871108740101921661913853628142902602925210221374739171971221474075797038988729999934682213469074727145766586342871141675598787373919993712331788486752160962492790903575816851574379127883916633675383882995150915388195602983747808692629781579190776766796269176927795454182968949971164221900798640332445368823860642116535230704895023631041433827082869552689838934499937273059397682552280009330991295044545302479873228644442336777438336388352452888890206118746361865618711079306712335058242333212942447896633329240698984452371739184564499454065472722810577311996619693279460400841094710792831785808977283659302091685347756964847133273448938336323737298280576686141601284925932386695529584143615452954772461856882850176430075390184391500822373988944585321330885164809307713475099126429268319022850038142736980205568808560573198865049079634927367895141503932623212069824888898589922980497297700922871515218915524461790579586347700991618836259901591861045033321723868052609898949663865015188655007872944594140035928995228734754867042164077186574728340770065213678960261321553298783304650425812530695076312575292403939697382631350105174215667021691311108730773431565529319633807113992146051702291760306295983284280697896912879750756515714099498990099676685428257282337055108621615767812709334531522460615417856735389633390577777911446337076663109321521353163964666414648690957960456344356054268043220475559544098147142664050027756548449595199833957870930467955197238997405001158516620503252864972438933795504003740611771401185654152847790854392626402134621629786719751160278888935795141898152848085824517662193018261049079329460444751357328089735030024124044587811951000944330098202426146766522229925182650443527848641376070900493192863331363352183376312159783396312331270451101420442894044256011047318758628006254864390888116984310266346832542426803973591112440232462136274924563037813246245781126021004751692055615820026170169013515444781395252847718810207617190700180884302630640435818070393460934127419428004967781672733297786190395669635329745779101847028140093147485215225770773560678292180602870354198672787463533651210094338406467892264102679015827148044346831702827764110704782298294864695671283532965117517093653557639080126804427807068270210111212955635053696096353976923270809621212833343394654997356934235642201571453516400095537597958634670148763605935454463586757799871646140264766949498920820355602223058157256750515593268151053608260127803791699444717705649148106985031024729208022170587578662166365973012733830114259081942361399397946435669539326149828431745912034928711305554547843293286669793428276357652236554329346749261019968515226350159541814270037700024872904989309162567947063880403130180336810349021748688603904995265795317679976742084560616764609575019453582416250725710333251449227057853637267083409150148225065139247936115439840536882618961458924221548155423106254347745922784361078377561854738843463906772826705633695948601686520971182016585323749569904369677944643260665681929459562946862296452904294606578127230565041515719990419151589596623722323412047598041993814113680011940398266110987789708286309545224155711346103599119456753315915504047995654397387702607064663260850825690746198067420116068095814807591579393615063688780767542527148795999514525229057238466925851796630333929851543225075442815813826941740742458202149192812286029108686617338428007562634082493346067426064121844016743572518775774871594943602848737552853174460426994554871668314936141323772057041329255433195855689975263648544216435950494053209471948327773202714896128852159831126386868125508961543309942702473865961556177125595798471051934264421099232585890692327377540408075008422013851658715703190329404524485539956837606003063870589382664023788154699156295505402015255457586097310495959522884924444536947676477933084948606158720131663721733410004239114480237893458704789991632836268034117845049651859626314185101249287512330048726060932554862894177484294407622866383206408379750814564813635009673739395286489299939629263389963075390344582225155253989338316280279217560313936398455875949155583981441070340433813120596497317885811922875261754560370472899453701913538481179702422370268654552873733230981838704547162198722760263155685351499044669776944846549305858230307455018988974856283447254454442423669856344967338675991513852061398520469669997130140807315741702553441119182965379466401921491981212709551809191967995001521460023278994685246108699114135690888446323471894444232327570454327111850939253831406625615195680539385606693227007353004366658776133691156216500320930586877357269032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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 6,737-digit prime (741 intermediate primes).

Certified number6,737-digit prime
Certificatedownload
Certificate chainshow step 46 of 741

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813324529 --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":1100000004813324529},"decimal":true,"detail":2}}'