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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 #1100000004813390038 4,551 digits created 2023-10-24

Value

230609431324881669796926037988752746166281396557841203560282235070618667039930973441241966206789072823887600414419243207601470718671679211385300929028395177097921322811886818941257258657832266470573677822562311717638904527687976665638500813223018750542420990264765895421937914028500917249361233018379462248256262245779361738521404624086303651901768478236142330767800521118160048479893794726585403311544461841098830022910336333222872668883386240753803114360353059049161732834081290219126157102232924207308832785015247557136781648468779809062209637384154862720056315596001889976008376531118848498615890409696997322454994245038207268678728621128783482957849873692123917322138056413201880892996172681192104136957901118517977638637102171719323525220980572370533530383902447940458763475349460465795685226994780619576502150345124154462651188000078006110587557403530169599550929588545623921067964860819101051883770416133840257140008282671003513677023988327350502775873620179455993167500333256349779038105798450184937327484216836181175768293325932550589184041782547506086234756901380958773813061534616141724680381922762262844223155892736832814820141199130473604925210303187844830512912826321495221469488588872923949187565368743950991064726173381311121318760821514883983398768130927316826122011751048551549366318540548545673322422377837134098987583995481263306931284510196600636665902612368544305408060708092841961996832088001475638240007335122443828471129907833817558549428025889596911735644531668303665046120256552544456948132085302344551969581507921146395392879021370509915303049805471582472413713916228822541494331516476616794408096697783234894453964532278454594093741585926546420674890822192499959379906231499141354263753771440096266868720862277092326877555468864972474987118224710741206674594548875101733431782964018495626993603300256913706461588286299858629863224228662240339994628801558709106569659414992471107074980579448629534407902125963401017660168016311752695114206988299415429633966999449950955616126790740874780053917564131477194028882116088113962745116652471921621507511364118906043344207101551704245931283671694891513001163544122260805012816096758742113907456382813122862775356915677952990311421720123014655571580734360936112738476687103719524917534685164202303390103303083911507934326133458843585004659355952773199209881255880840207626482286509110596789256915267639420246639645097131673451115100689502374508647099577411187399333914942643552840810473635818306714397555021647451038376250373725658239388502725243721238755610720072311915864925538865647781186664059536232848845459443731468000042078469486153170269990525880048471038545264402872624229722137743378676153552070092149143043244715170382058895880542949118530093632975534526794059964491972115457371282306990017679746606081037005966758315775586021695798017927825137326782215510229943261775371903192519493164582089171541938406478576310082025934137855887835525600024931898986709646457359507269227334272766799122625721347595859070838852528937074318579995903697097396926449973055403601208200550372803122894440654827584945438884075019701078223968340510051100223122927557321286546980046623548749361976121432547263121345432139838088913540838720865039477590714123821539932854415944705294553781864800031761299176007133496071193656635713126011063191225081291308580499256429000056178561420054250363614004316078414503548983934320813638485828257668079381989873659704897602453180151582422506096044811624591246570723889969714175605816779084870148162404888619430867076539641430661580116913063458987750527165033340303275477609204780708510548403515662661795375329802904839045954026271807298289158152648031090733433852119262631270576440257928266147721276553288472146493260568700889898414540366934608384240588438060897053359054322634129350432547792597157528063632711934089980810523222008185379520854560606487047657388262682467510456856915618240768334319628805208822271249719816602621456938745612930013105027220426767284966019111088367845498354978376223985937522577849771856252404637801593833186218186521912796817191802586799349486305335016390292400515996219124694399051557905874275847459550573833078609183847081140757374170753193237755315258798398683665024000835138866181669104021657956184470593429156799096108999936840291455615639097270821112956242339731512135251236200335290175208226762350240832914189524548080918331003693061468897791397830040913371567092823967602531872273203015592884837360496969405108720323201854647721861604005028439292933441143708440868730936425658976191142680397562780391754438455553917
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 160 of the certificate chain of a 6,405-digit prime (635 intermediate primes).

Certified number6,405-digit prime
Certificatedownload
Certificate chainshow step 160 of 635

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813390038 --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":1100000004813390038},"decimal":true,"detail":2}}'