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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 #1100000004823356459 4,480 digits created 2023-10-24

Value

3143324763609684690322495429300327689371278309307645011596161327563152441911087600573789815882694964883230309060830614973044368281114956765021543508012001848016116242636418844778814805063991544894303879993909948209811157356522405465987280002746183998356831359467803845506728351972625658842811364862280806340273896573144025761330297407452570543136416456318094928613878591114626200934523165153013823564191156295223227371872646431565437133102190730912735234701437092983802177480464010949769905477717327319551671193492727762842318798553696268354653289070682206201601271460452928792724432994981601837074204996240697082938433922861052562509683206030769539585651030030861242154177054914830488961962575611100154877651831752849782332368742992089985648934323064494954573957802440639464128585647838675903491457089253883508557196292141702244924679308466507439658105511343296233988069689454221114204251768904176575514356573278992608469932633143237724193525200830266015230895544242103828507791392591838523896510594395337927247867454552743248045577218434414822021439627834024586090901130583460334358835130207310548605398648190389563314439093706331296428908677910586595324281016376344542268371508130631317067874480354586405246566912815727098804364225951064274744873135760546729468307443370267512459854408751371309824202475916254069740948454294525966224623439284218658162683874853081991713875423915416178186700835682460186339652441993802406314383079476048631153544122526083952434621996702356159520141837722858184340017909447753023667998859819102366704820763966011795455640031509391949034294523152811407973232736809207102665828117319132574063462586924878092543986616873899020416964144402151992655247828156252747461272868973409785863365259320339660088432339580190412497174977608001053713891483752195656010607760555195717675637930206361578436006580778606452922491304415348843207163001467097846508392085516160065556170974079576862090087349980415391086154920707607031564624148251217872431355392265538363683104405926112840154152494445337531531118883012447204456191131275595444529931092613937750965657574510937262162031424492055424017108178205161226452162741829530980241332291058131413608171866462945803465273186381891512072958295407219579654311363667880311752566049016531397503543655060124297007323731107435443753787888883667983892674387707321990080318030574161802844816703624534052478436050931236565628323617593902894089986585592165882529355131188682464284698916631868950293433197707598568721242106259231823946957246418115741028662067723880425541172828220439261372950319211979397889332613989644762651770563251476315593824596640894584063063003881094711388956205353863719611212628096895581265991437547323573438257589231651143971994730773054881035739797423851307059896771913922770150058751808379951786788061730366851453062869319097556748492218487677666147931337838358856386016012017107079023682024576473661261609156987545974498510014539792735158016220141945439424581114263572546127309556402580609475082215903818715204919329991201799325898367693583938242089798582602221886476869243282156865455343471033871885784941958458870570783135373715524315841184238216438366259207078821618729529807899005019461334815269537129775714952324190653206573626649740745738816574763943766415392042524207656598365306116625317592155627528484689360912165863715550781623696385909825570653634404472371731433913011880027072748640615321891088470809270454482191599936774639102584972802577617884302023565574890989614057256792758005320882961759042275314292007717701686489968155413012415380054888506953305377040351583712424924074997182118289622391870436355789254921922651082800602937302647624105962336517734352928475719945868076232973455192150930866296958330907541169109173281134271371425036430517623796953373044757235307398608020529297171878117207876660551261698367603754986221739921683911581089946805960860338207515403086110778482992962645502069351966244476612040686277966861033910117839038882883309247212320917888820519204748744057858028336230478381754226876899407762642012723173458117224247943412714757804081396315732006016153851047223590640440963917898975261386162514710983091733913388463823768262017432182893563383860120159839182186378190579163772387281813913315729983696085235000491086048681504004258422333862428648062838234310369400910165829547620309345128002141538030901171259372073643043206834128403927772826995924069399163676031479456039062212865234084011931229507626573730266457522466213699611440915454540596078371366722966679
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 4,539-digit prime (615 intermediate primes).

Certified number4,539-digit prime
Certificatedownload
Certificate chainshow step 6 of 615

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823356459 --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":1100000004823356459},"decimal":true,"detail":2}}'