factordbrpc · fdb
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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 #1100000004813388646 5,228 digits created 2023-10-24

Value

87398359065328954709895826436384685855013316942215229667882008834567328651873157484081870670520125265095156670473813260275652436039315239595020766632738107003359784506961543151207751524958701781582797375489614747233278543786877037874422878255582217859224977432699064493533038189228551379962728498631338623943806361110215794374709918039561857087340195241964336942824022101821402488554854169453639313906166063766407486708207944423961522212881827556535735813664494184592680713174429770717389017754167278766454576351959341960278280580654865203144735450261497867738674493636556234380173279551277830799648403566255515614198017492781654332798585912582524476386747759084094803995338561662410261225609002967543410022793740840491410646858310850118354187528072196580556282469639113759994703288244480297534725341488624176129885437367957051297792843273103780690334737720483068392728311098606099371075998583299931690406078830995824110250983210841044532024948860546606909100121109736427741555736958319621980426580912561679856158054649877105432331391933478223175772146181269952877910436912644438532342334349471131530814656303253382994066813094043203663972818623559659450905080812486863148975874047602594910666349633548393755833243651405145526464460764942467397321182075302856449766652205199037071424001090628270215950350266012563427285333109914331233097358047843191767932088772631741436678701106233022031946586425390938412002483542122427448287455649755233822545751279333916632800689701800753528810775380608520247767228952759433550334797250793225682400916546918769393593913370575498956498758651477633508226500885060886857550416904475346610946362081428840645962036794413317439006980418275293011928716679516102961251902388270236352246090845351876355589665083686621263927744802327358694866297406183632044784813769553929728851375563813842047267290647436559961575359465145444482698985993819969764835995735100458045228072631515169847418770873004778722340233115269514341196214649903149842073313810607082538813203852544512185821712551959798611936769291367134476022205701247549456848602373638173211210205766826942864964224973239890429110745611184868651105885091021826459035568987227604220846211402819308715205914460034079940027290372904563412291674664016497895754156829485134089198314680807393136028146468894176825680944010171123921333769130357836720448676532881728543074635752129040288353163715840886818652774297992347486693043808124768538368441562647954891748833472626752898109605619446662170316650531382181229683023060675798967522795487934040446759073957039639410248477106205522847426582951008066430325344718075794489843614221859440990156935600101660658967670095008341245214793349511629720939413215003728092962468811438399329545182700728267523532580642918439295810698431534818951529829805716204835005226856538001070588467782408275484258542808415919961935698451453828925879164504169694840940395953795670963074082123984641331498611382805153036242597910733164031946677950586377394421791294611274886922349741677041570899771956390872797070932361447142045957619091471463990288764797864114607676026491051828851359709527344267851735689814741265293784022023742221074227848015436627813126101295278268137265308725396351390270513817328250769676491613404050410270592552420571168342196809416709742545994821798851168982682787373016367504646531696898383303682808489465178458201402684770331555126224171438972482581140963918558954700474447987432674687570860507967461800603947253085441275795564058616062502652300182728544402620723403900810502165517706202241135610966032266897710790797720883637771710876531634009509823637826886176490058682626660110187032945509616712801400516049639752794410422904173193186591733401339647549636999555029678255668745219971299492955557412265549274540426131416996625989081755598910014558598075017462777835117445840959318979891764331118308616807824307018412383285362625489758090913574195925815252035730617791566523383338548195301878178340856136010596688277992508192143183737980358478821048858093692617386501024868869637999078218420798126477399119372636208594876061251612313266149087593349146709861727645664544603093918764991714552690797291362820637835770297518225457649233939913081250323172818794762056431088740095124369022932822602244491194583050458923448000998399163655045236468027913733783235185559871223655276618271383224048330017619377382783740054521759848748455553284392253829576469946639852367060096662444363440591589202976509083638573295509434320321230951184013739170079749976441831174931988488747655681074624195025561376194196521281325568123299194582240030764841696250257994748728296427912051497223627020866987442064690760649647734299825738449032941173164468293798705603877110644405435872959444977341535077539897647805958749021220382429103019568211676888755642685027744648160755751433410701786243718124700364446740163456321920740472175103223301424759671740145696656486911113425161069429958173837671726589126423039748857686356949409851783787448885688735307811895564647609997641098295138977877817731635240440309722887226935228638932511609434140502025746303392685582636136362992537112011553774374422530614279111969069240025506583192522675067639256699412259331699363621456378132040141262258331940902479212532072575181221988602034727364851
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 99 of the certificate chain of a 6,405-digit prime (635 intermediate primes).

Certified number6,405-digit prime
Certificatedownload
Certificate chainshow step 99 of 635

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813388646 --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":1100000004813388646},"decimal":true,"detail":2}}'