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 #1100000004813656399 5,442 digits created 2023-10-24

Value

270683333401779575417068849681204958210447863773034538025688163422954245491621904119339789692909909902637972781958287622790784604613203930968411249518052649049151721133474998440363538170229104939679576689901057799688926262164562850164274463217989456694743881939280341236382133793943983335365471558769761789658377568075855338414301672313238304025673348053744870737579281172203597991715234900003697351704018906246850096741723992963573500356245991044063805697520192648443698056551835780693053108221452859091430363061003247156801240004544756807264494351750860793061696078426533723591108836849187596417322863530664729820612780409169893184359009642483577301875945472316929312025584700916276802033297539302501523326380194972676462896228635652000958192788547550401524063332547289971378416545705061843756180917819351133205159939909670570317538835759739329672383357359668312307275364641516141430180754360470848233734083018844944800030596175318001459522473049871635462674940163259021129084868682758534646786508655359811677822454922764848446270199687038721988484039040913704619362292182131851006389463384352469167189477652082027821595792588943504226575204736311337729201609820424954535581913519241783617077579797959079147798577572512570780703331608669121173959957801583649346375711893573415020809327802817748869322245734032289023573308195339475761043126512952105965880547024107837193894340525080970159913497799726300790579907299626446571338468726069898896795735603631124953214008616237893206963131291941167586041373213690915463074612049167691167124087729738127359730636244820576167443014983044500485770396088111813187256340563833894823649311166042972776955462182067604066024684455521947535827041833546097796199797577711865782321958460963706981179976291324473085008297782392741581064713914808661643945317322912312328808647647998017946686605676400395509800172233482259005995097616327704281641542567633411125262022304046592515215816483111257506360926383151575445713559397610372902978029973760395289412521001669325697993902365171919458835479773890332425252286410848471183840616542685299897152779499544499825339566328327663701560577018836929621778300418578919145334707991056007321146650550372803367783354357374429554677441174569543047126704045082659395375896890563100888355814198370965060815813191868701482634057843000409873874085831186120127489753754036830345812628479810649729721474584453687713039497908902314176615341046273879624128068593232896647718158130841756534338636935540216700028113655876189198204627087774101030185650656290256864861255227433178060532300717474888151470553831594679036927558555743165169276681770508484525257469890239800809347414428612392176230029452418328498558099103041188643187552596241568274323425870803492201799357832332815856601935916177593795406160288357240311939630274984851545829326113574917903240006995629613052690941439557509324685270914111318499053384496579694808008335199859498424748051179035193002916091065937002957868342141176081071286929838858106145030971933439117590589517582285211665357579854403070734138835703641785665813410665003984138990360054031211293738539689703443756560836446429943540996783082420691949711901618231415954104527056363418747440727496390779158105377913511219995399484006601501237883543803535429845122558058170915949932798307234467226829206076115684187464916435594134057413532464306958583421841830754091617532725592638842480047876062475638204232645154346199362826387139711669937971121602642264369657567639731575958415809158839888015442506101360170183714745275739220062202457490497920977095183883255980112864948093048318560680846373806204623744337378126157566256561065754884133302252990912483100108934860862967223105494811601415689693892498864948282329972635176025102470355148172650899597676568966536255913414243734234454063796468990145901059823457719586709682726558236538419748595822976620462714027326668169927994314056614182131068701462775163928332313460057702740541506661914768657549583129388606167124679123803936120083462680219970768251470159579749971687264053237589438497563196072185585965904346943873285994970882770508328314047020776386014257125491576673595420191268071451806634951456125798337845405859448930050567126483981668003903090294658902826837843494949997908625910692396161438099716955278821174623961005055398410792311732811648613475675777036610519298501016478230638715668238439848336634921248761568454000420122750333081601902279991363074359704103068048421801012612304417725758545829751339078043781207481882212305517082174148070758423914416655256138588207269969404016362522352634598741989151979458632378006240565961414378880880809452734233755896942679163402358908508275479018866460941843233515770807291866852515082693962643487615105352756051253824477081033754878521513224309418769573933631062944054248916166143117548592271895713572272369858957387840716465200221874490675762048458959777537282462039654797645726132393195442690867310781327204949159909894840765899473405934742935315047374082058658201395810695990120198425489481794650671329240061565250775187786681698762572209587029966434624007692092453622523307788038088578394581636173045260416783626460711384785252602375667014548693740120272236770303553087383818141512792780740853243945838254572477160292624145816130671524412469061112817997440118411223059493533437652097754737906505554250301682547151204539302352138269105601875455666237460637687507644987104295397066658142296889097198689689578592693878245372389443354524753898758353910649
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 6,196-digit prime (779 intermediate primes).

Certified number6,196-digit prime
Certificatedownload
Certificate chainshow step 81 of 779

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813656399 --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":1100000004813656399},"decimal":true,"detail":2}}'