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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 #1100000004825888362 4,082 digits created 2023-10-24

Value

16850056281276959134860250103186153076749954340350963085461780796301865553180214175524099041852115881545925978045007869759661858177582270594625796217762769651733573389396429471408068412412437301730163181835714851670346628370927669073351484517892638980033211640954223836816156725129829791220527416245570976774902851879149523092107340149416152198497309646691065016992155590061792884653506171820435517884013254721164022744912508648788687919345250770883590466572027668179382767448389202006719369037667930380268699429351923074272444001736297892854629885079140199382222230410535542848651854221901225779476868092447796215011574888111944816569114835437756960621811451504526825295129553107573096670645610542613013226986142538366469635490400067001904623028291403153189900531597045819810239116033340840021505170486864044951393039840375303566622441376926163141800062545610070654372549536934088117266796316351799533991435338984524144399903448637120556660901047422755850563813227261002920394347131025545460545046441358417967213247531457523992453533843321429984340345304376523696084780032426327816047158274653351993801244058896518113372777138826871235480160771796723439282249332139808133007399105878496740088570312765635158676958942610536675935043442070861583606758774193991611441632827656805632427511508156561312460464016694123124174092116861498973881949880068217437457187856767848396446642667386717435893520883795658906226973393772484960479298717771242698425540236303232565648216663261035118615436201533631752111568240837880388954109206601190875724935926351677791999121146347940889811563010762615185214819422905466762253932963648247890224797530445611016417116395970015047790797706867514924252307903000984830754854282073251298650493617972031363500636669329146800310883410103619415412209400508000216115697288684481292464230596572260140974523965775834829827926131226672681982654708586154937571681398096585822657733463968313303459066442982066837149802825921519976385196036630401476199465427493808913994881615005448718793800855009129364740964688002165064371148165073204037747959630818561740765470347226139007672041847514198546770124451441839006517619077232664890564491686706804769709314615328498499268951337704909326455183583474416803693390741594035189849049312405569405258225795797780771738463374958235400168370944376154448576530572730576510731723316296554984113428772866630984949056633781473086782725404856746137692920199168062108616531458856895195050639186785277944447065392599316183889237779736488713907688759586692217026786804097541363934126858820488492915349540217919333273150600356590984170081964481508482040139387658239480890937684875328370791727818279254989957149423222326924014364516326963669267452974095443408055031126967450177599950266325404461458856222534174526461249921333106958034206620730777696456170309832362758959446130984767322133206479732839177161075119200898287354143903748828659630369836368808642643128432903669500047587026852796240321273526621811185717130323847264710196297653763380598678745949357022869425234625143790362533132391437874490371800900571204036183478530676319195360953322637885070589190614543164889532006953012222214047224226199235512247803594932459803649476480712867256157259804730407909734456214635947037971513445032818435043167195574477270267997559613328922254724382128455430527614806046754550771268662177082402306951894667150400593990159905965981722907282912670218491292601567678430020123099617697530178628523162550289246027670156258686078728143268102593201980390379647808608257473399631355908487312134471043867983398880230530366787737778463687441363259832676111206867714576488024379551736084878412381818412138727198084622563067496765763885340963958045679471341830293581517235190619851971789002785016864218382195236886397996624041111630687253446969588992018758894977397453006405037903984870455782986097703139338711798628145221453927153528317350781368692106103853731103590206485499113117023170350027153437890359495019486980978319026319087241481040887127551844295976249548673487399490982886418714468960789905552542652297667514640034778461384407052003570277490547
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 21 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825888362 --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":1100000004825888362},"decimal":true,"detail":2}}'