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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 #1100000004813655732 5,675 digits created 2023-10-24

Value

85901805195515534548449338576189013404969968524478452965811811529961403887233907925197415004522714336032466638700276984162178449532181529674179446028201955926327538311203412707295473572073810278204981935840200841353323026538061134726898690694247899544200426675420415619176380082623414451403505333961921900659062505848988037540991568280514738904286055978825820291467980656678277503282140415556390200294792952347763137582389823407794306404771277348718854049441826935901707013823216044738032542441399853391046340948169796240925208357933666238873938609365907296829325682208236523876625546863243353527474974489969665167423182873338154293256112620002069669887691393104647219902922913401634942832467562575971068833969996863500841161262329422580449238338319742207066691347832848489141692759668858581334858019225827892778376105864132125709640906565357110326728018768538199879167812210740513694413142911239239733514939360053850482506972660304028159811487150256501551387281980662626161606800618334716104010806993305559075078513639655305117590121559011931391249969372294835356182568446678474858877569788247509538570101607533650920415562984944673823007274831421676932246652784630226731341241535984417019934107596523426182570705740519399093216599485388466393504905366463664413478542518743178486377027988720607374834665132653477755366908036837462286383733339271766873870852416236266672805961383531451119446424795008467374842005340727475753951967606612075139398958705358066950398072200192356291287941708401836855580478596856985837949498403971382291699524116406837449552901275365632009744500413206786476296750913451714313559763914942738167848490965441551496635484961205942057364283655669927069239216223036908959948020405598333342555043267655972743947759206122606803289090366961766027404675011205504225176691164502677857401981734157568422390400217445307159162448718270638381410326051177907678631442142066645576380020459748433428817290517014541323131373326885536549540173436628758920976074215664476383796970058955802362350148650870147805500315122795922795849045977363163517565080691262975750956571674727541560252117161863603833328471722348200805689266606130431099504479037415183407604287325743807599065286233801021504017283144594121483329131400342950667991997039841494379394375825296382358796916967568770274557793446445269077437458224012134196913147482743539496783525781563675205072832139978825475525106869313601253383828970393672829849276236111827877752178452820618838093982221854201562477786331664306140910130404615852784560715818156282270069257821986118441206332407599251264136977347284689203764617308452405849919225422930601656584940713626620703364874201916280868930256214143724065519591319164404632993491077577076340494517059237375843785035710169124039684191919145347526172872263733446368051789211446922424242237311557761360515422380324230467000759254364360157101373893629897909896942033331708879453960242534075798793625441088715523843599560336096700032625303630817359913632228741207582563400168677896265288752457581001011959159968650903181374598589297628909755501239693691128075187158831058661944182371917609332540765729464846236162690277895269356755160547129323761946113551872279385099647152277453793377963724958495059942012158954058627619637641072863290636932571499736064129762124769569542340601372473370087047262007644994234043777086217304710666483163143866322529042503137910308151793015197615690242423411288715733012037315875037662104896167007938901119226768155792066595869167302398882710372381503218993875269200962793757214661862941613981968063970752467768519916436347055289187329760879488912080850701779248077874654572597239251635646416179479026898250120396311488187874209796158923204479883966968641807492768514098420057930773959137750690048792453599069593519834149581195220531171819531943246745560056726398979215503974876255295926143212833447813058540154596866444223085539564043881814980918498730438220954061183403380329926734444124899352356594446700548077767699218014099210325760456872885034959664036358318024863744586973030230704485700863699079479802259255853821310893628043796425828067845209000196172411246470490177146303853836069916023985433087949647161959774779358825448549363883891713960606631260000604264858118956721444579320628390041849129846654259355157935341141955475252215717405687479686745846606278210045809660924426914180177073527159514038450400753314174762093394512301368877495059152850367992263154465690133293802400388212384934987000334500433780463824000906816670108951197203680944265822110429451328333228792904496225893992635925535392572360554946448255858139162400038968091884091423222116175504375987746204697807692434695299178216377788102747789740238101687694802013854247693979554298309716026568737746542554916397418367506827874758108684652505848175985772875277231459309491419928666480544976150111753497184117221893731689410221542667579732092583567476833889883095354411782671592920193247612999544624897504267705132661244881101827345547731435131837060624432701461747432412567402770863640824823719301944747675487356872315996572148859154222699070874168853507048342646559651022463942110701960683418236751831446746067516239461879382948380619699031468248104600303116138310011726687623896288048858303447750726407562181096771276471342520814531487174405319697697975315155419869640730940292955638630557481838458277682437194896504073842386728156824447823358576475124551820837497176810038197126036394877054897187840564590950037316395956077942066953640001762944949072786748051338447116403140321501212773733109530905697729037882456990623967711994865079556460259716300693162410230569355721561557386711814667764606206848370533389034004128724304038814794524629588056581293931551561
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 6,196-digit prime (779 intermediate primes).

Certified number6,196-digit prime
Certificatedownload
Certificate chainshow step 54 of 779

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813655732 --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":1100000004813655732},"decimal":true,"detail":2}}'