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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 #1100000004813849563 5,487 digits created 2023-10-24

Value

124097052215325748417087462337731723279454947396005706114083166667959191031100450115157856920345196749110142401795387632044947468831920544641722219743115562601013455485532692373201969615055576041287570612878811892067131273500319862039086980501454844390678972312686879954970464483101027465339903996498229455028993505538266187728417030292562319694674815484320389170142266493430414937290094573729432220465404893962325190804348510140358204107395572935389085540356399137375667783462987503942221238818025193038522722132334558513069933992730140851879991381496474325421435659092252591160577900711820991473648235607001783990647516975098068238587283559893630684866119407234752559495660027861832897084248260596849885738841032043882452332050112667758861081828932031454142567557594815362034676897559739516909926872873944803848870586963363303667805155974333921643307948416573799236164532035295500114338398178515583969736540972872716665961900209269445067347933753337440047868449154539685203714024992649315554399617964899362977881758159248096478844448905328453384944963744002798607500883885143230607047759095691131090076294628428315404669357397604229392485419458804268313745036354784812614134643148148406518431129661277910021032473801740672705538470573658268983067220958926630690188234509415708233071723776646629377910418318158075440769860108227716073045050072248009867282883270889897298208860664006155389387863431963058407926895922656317106951971229820523277794636367304336673771362901566117972237312699093453915537626982026289103373706616443230324370182706630586358392491289749514589988577636829711914883207866043239426892354608592773143314629534206505213334153583810758730950682595586202750181632064601204815741146398636656583370300255480204819657353132072555028223187992308117278148412973438763907999349163919740275731206345441764332553411803811434857408107142699408444279579838590140200680028296398235001992749571069687306251016476709772722304048564488829344258439677607090252060792930769767751930181118569817674743835251677629140755605905111023543107149783778397612112845278458315765406495282939077161437525467237718719868443355036983698297017979874029003274753656841801837031933431858087663644698588185783896426066012242864075443066271989459528055351547267658860060042279336169289967782904693721121105968951176703548546257848742376110737097123729247998724238240672532976705102340208264316341845715954351071534300621190920321789500285224271575628105384852767109893567730833557549448614481137851053481414696893541457307676113231982694882205144295666424191490992167506743985480819552342476774448964075124064467332506976393761885697285521337711806400635163952220408488436674486287081283465022063021490268726850669479281411792745499018145935328376034034921976170965507778391052303228768068290960056595274043196617860473483168430908149450900155596703790259941574849727518777809331196066461818190030969791436969035578915560072784311612844505648040184209962735961953101523235745182168178527533980129173295072604346698841653765430269016021369851815362881530286723125053856345868322771616320096685641424302692095953237056925318946532043708159544764287110562402810791115373441630300105997687918377415642704512766378179815213958642869246628265813945116113696816490284380823397509557949949613229960674238260506460159133146442108112349088820197953796195329495391629167297622074753324785850560836030637723761466684583912340591983784678855786544595597966654163533690209264841898331406991487667615816218490926368667893327835196660027206622381928065646180256026381422568940617668638506527320708438079486113171765643551054965573562043990248370326552553438579209897931205448365937834436538232937641081317250523184714561956923257970495787436698690827824622839461099397075702990268878402505177505634412403655978378054502583957424272159143700440771264540366684554470755084126297148877371181469594682938318173968020316639331289124035620997558643159800088114122923034174984920955478298354057805153756557472433829482429003801663153794703322931083766295387403539015248086803036053711996611240749648126051043620072140367493869430484081998348906383551801747885030084775646495322733049950796185465209568133100346013428258916961757821888242851698764100536405658584452840519358470028012743912408503043349300808004462904869917089667245765572117038170574650368675999507859056737241530053602086387844963667809756181987206054419958659815459281602906226356187446028268538792604258320053501879288132808905805720552014377451391427332569869333647326355379992562246792823183268821691911061986794412688414578715165626583805949041548826214371004417316306850956247486524174721025629797670453735285974526383839170342001725579518255786611111168908844362086120120916212382015423294843825483011500664712801107806945845719772366042473609105501135953666039130182562021934757413698329167003985965954760786410013584724467271605017988151142271780193105365042505594507343184618075863651461692164720058677627204691741118114578475907203927334786432100313185178396210698091766388596163120784602092098638374494582138114892391566194424637141382677867375876987865097278903828830899899316165276442020794410356981487002832170929850264334650288880293156366600302783567012664022823672630936442504346790263215952510628785403213558692091141693404018952469186031298348340433385219816744499908626740920422331530194041140598170572804822751591115540925945484994765890411134378878257618616344886044201621434910531843435092100175250020176721256207437776943147943493853
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 6,064-digit prime (603 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 56 of 603

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813849563 --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":1100000004813849563},"decimal":true,"detail":2}}'