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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 #1100000004820572084 4,455 digits created 2023-10-24

Value

327733286935548184103146713624072345322154983804655035009221287890640595416710263130913045380280926668053197999433392841986021330446943379944769391674819008411651198923537342307398137264197915172857095162976904020449591927104168546459063795971176064527077014507122826089651313911980848848056118644099941443757757297767614416320506027981476505144340147839177273113553315750459304726730847895900869474207219821597662954523430190719208132274920903659041291597646103595903751347285618749595027620845062089992024743148287910377527455312934232796617728325434964866342239447801252131535650463723084161569455687343579183438307586928212776793252853828774209922766957278449895327957982235333348738646792968730217514298426888624652230820675934414078917081427087188559645485417006788759358907730205591042414026277901413743930143539048934075491805876225571903024878109975942855694016733962518397979569899464272406943149374990570551337183070698969538628299724268453609279984687561433462877571765722232798730102005507073110754104016466553042062202209276141168394189683223371685391734490341064139613202943468221540171739221659013116831455838219771899279918864429781801415962247334746954906088268217284510822199793273245771060587990428397223208871908344344955879994035316140574009432845768722738980632746311855108092403766779491616766092989618920670825193036932121601896003704411557010742475655280070427297897126180926066500419519119845124559412894914201220276038514825442746877785843613936786737252839963864171050708726276445670547177525766397510075918778483200837833475338615274699107512634112805478253445219847254468640761100628134486025021026399960269330860500392694602810827960663930984544012994693026136322259601242443295093356072233790373392030883395588092777387708552108523350367324371440194414720375808929306683765627621290861106092507933881373575250868562834768081464271338397584637126842599134714848954791077569669946843208515024564776777691291321830372824943888440156027463602467951527122469132442412609572884000231503301921272274390961918467358735731958843261176224115936787360234965680944586017190211327997318363211218186490628865051202679172528625681289367980115459645362780458507822089953057022080672326257829420858079999716309752163559391872197506818454964929631815050531411982793248637843118007129582795262057550503015083602431123670526539375494195230664538513203195546698694043686030289821081848344615212606316868476088892491037385823543423325906780516757216692855169035852089313978312174223093856822763703300099180897872515846440792432474459752270272629789098712755789832847730276281566817143941128626208378939694611417282875689378031962549108016674547658151955027342453801572827637309335750350676292667859310113895847848736089469957897904593915123838948098668064083908345622160582868400351077143969259209520849154080454625490246893804849769143595337314217451658952867632787332427925772789158955879906672502653421417758935786126732709536145288019887268475418191262128287083775625555475128849287821727155158649628333318617057501174253663695333348679027203277784011658954719332116290444856300478572238881131800342294013017892534070043534739994001743483753654364866946279900875664797251797541753748069490336035634686547042383497395978427371988498556959636737210431999105152196658614616440415546619600654161803867244364279481263975160768048204994865826529875012471125714140181923597273868759540696630670704222714173712999357856334177010743351680418878601254495404315606537644198937413462961119817036788028727861814462905929305506026957973392773816997328996096124665686513785459843603846527364010065862906459159733905622047977121719086305149359161066101054502082325285727195977702882805981510744528532351775169101550900254313278960354060770881891709866763906090267941471591397637443499488983562085787237591844728178725934854771385693401123544069730438653477545820931772121759321151700270544862420438477429101976155793167459708898590017992901664210011290576504081232232281586001805824118422802494971066013487906341003504904751625851804159801457069915593278073261737893972622509004324576555677500551183417811825812378968269066062734169043619585936366425925870954938628737296287023290310403546534464655352233866916913661870795371327885652763815048622915017431916308825230042850412127967394216154353966760895159026374714146540972676520739242148399916218723587484993358040620314472987568091025513963988664300631871414487977939387604452243232240381971430635538919
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 4,855-digit prime (503 intermediate primes).

Certified number4,855-digit prime
Certificatedownload
Certificate chainshow step 37 of 503

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004820572084 --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":1100000004820572084},"decimal":true,"detail":2}}'