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 #1100000004815932002 5,109 digits created 2023-10-24

Value

202081570113615579423564693416576766227584563785135681702259628457076906703456778587329404061453882944404275015418796751898905978169186437567877218122635260511293684495746324550037483650637294526400937979003385512010376878895050233691081575693957997989350482514821926406594811576665900775507892919070366906733822384151769947237824095040829502447150636400397571738818992500345341788519991046201049627657201753852510373060095333637494771020022496388250252963189208479106232573962565654765811931027490748109249571103943375214045740715544662867307496063789739500418435744335938220483572547144995242093519191096014386497100775771289300264137515237290436934920408904557527447605724607744508198254047881710745217803744117606768235921027648652603696089546668551398343599507900463321284503620934352894046242087383260650704277532399498125799122133256805684679095447610625382746880018647392909884396190516241153144227609074682093030034861275456151966997163515487196962876951168360106814931588622929815823671008224166176678241000461301310434428464158222309164394310352663035941124451177575973795455679677258415139920270964357880531407305149816519226926612234514902775957469827132860892009990374675454098346943124963920076701582322801526672131352324623250535815543626623520301492897924843522459520140359146037539226119583744659967978857796518728280893271150765861872354496262738390367690820701257459611712342771911243822143331370041000937369316925977088036745612070895356441487406836153613250420983072146677616938222431563485493504775589280255356277531083490647629356191790484056106554863275772074645060537320006447042063764362790626493625007740911262016917653426894248281801093551032224824950668015567698089120061464309410051129393086896379694640081166542310345717831330790766712009204836163123740460802603608900512134423670859110802470425140486141549284937117694285985050088388393328106578565320385589779526388011924809236990309478883923880617452707273698626045323795027466827774971037943521944424805482574596291759691506116853448256623336417882967590633547718632616366417182032857879861617995184692792634598382866014246948131449003909867363242303039054991789282165341239455637026579321428593191118506247619424781058262341440234391472686923752040265193755812672378467785331280204136820997389956602984858536574270253338832240472283492890669947030745836362151718818096083674200989390163312551205220080627615925166609802033314931284674983357070563590836200569643943085367409477245905676896032319563169163415936251748913307632043146611242860974832116739178214808146362402574272570660417057606135429900231627140025568729730909522738045996556875210798152596585648678983693188233275326636463975592864152490034697703118130155897394432506626201383172030595925708662974872445817924082563485038585240704739806277228958701789864394927380893705560123682117120129618064017420412541574332097118759150289291212794141700459717468365615919616583264158118460874316273435160731009062267368824295484980910016551379202010405578573848152438098485226468427424224784400807931524626252266557750343105822932876619278236968031345819299451683384553087075585252142487575625328562025338044863904011122134661369904194194176908423470237495905110134156869831094836205643458757433897350179009066015580538798625545182719421102429324852401234593911785695378481443643063645670542516571254733686631001057303402910607851536220065474814547945285263513716048191964721254453603490899824842636656680755408868148212904350207115791168269909926714228677490729127803875946024686610810997146634636100619493249142133006250802326743872190374638075822629828706542339317193544011226738251984716610391334839380740246848411238532688455748276084976316864850631782390998006400794816437158104520244852462755140816636763063484641223583262856641596150244010863902118193720533970305509934825204187146246008823425388312752455453281715863710546248564256248219418579748015022074874329506107631498799014539534481241204613891799718003932175225628709491711514748474244717010520953981568477578011057475169441175366158316583546947306644148741534330169377903428501449068106678725593922075768316435646863499180020014269628305545645356763284169199511191923306084735358885494639347727291491047548110056642287653707951315533164909921311361619305377139175239591978267247756615879455977374775255143914751130546669246715459470050218523532524199036510852355313679831466215886855832407308526000401890264764097361625661281493274893813154389836446292109251046629867222172580976925931332587028838354573500132423704254059681995657931314010233408338512822184602143650476569672954634982907626814435298606671760395667347487181769049503827766903252499536005159214890033214707963687115813873453910376391953270296534783544189732340772020736996554091414675440599521769717476434639616810359111836087798620217396076837105848348693276090128971309122441927538822461965574205066528174584355787976293830156145135073790568851560606556883182636390031880001169771833578904219793317343219603878933037862396058668060844046521611735088100843803937074813259311334190513216691814540545451440120206952896158068802872203537667
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 5,412-digit prime (581 intermediate primes).

Certified number5,412-digit prime
Certificatedownload
Certificate chainshow step 30 of 581

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815932002 --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":1100000004815932002},"decimal":true,"detail":2}}'