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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 #1100000004813478948 5,255 digits created 2023-10-24

Value

57112936564097909752559004754334083691232183269517698936558026681014213520107437994846195057921187965846291087767479727999154208151864996070668852155725453813622436543571151270811734652708623954713441948362974260324896590220656171980859115913403374449192342525479425432939887428126564108676998619668802078463439372485858504990987081543721092659634041171569386303101985063893273896348083550837528979172528577575863288184337179102117690785693808558464202107824781451590914838524652130807329558408215958784015630682260307774162511407715881632999050758649219300723290211042486517191531011291000584349986024353359810870557229926789952717848330463130165100509786745859716639983399598830092216988041546814747626681309535752162431930860571343244119512236712935288733420332877985236854507761679043242991660140965716973774600584575278850748242534321982067707306764188010532012362642486032477656309137468406540835320079649614525508468843466559099858631160188863924308425094544127527604714207402740847573870779439872459201285020456339135350727076183246421516865885290180499121586422708755131750048092248201419193367852190028025497777485266816866504461998919206452321502820320903086883586838884109309624760708020213358127819310804143300534361008803448756309426565264916410182545331437395479020573498130631977554655855670653089042318816119376974760745858998307678758170853931487437913564889162448527529193298037106127045821884389594996030720354463115268923292922873710194147665842858564388007279939234663904824788706542244157277170152012858161494342193994686363657231487294397183403262910689633178490014359028957854034739676492184613443785274567156133160897950597925433894368404854860206683449150455978786789409076578261370998332984906378827202162813427918077877582412508513155849745191877131793129966388942924634831326463750706948677494477193018807291660199797047242567276259412291614786635960916123466020586563048025392559342354452553013728287495997250068525513173409100996808158428905649083687106618722055712553909730690397667681594782145620046117084452544267246091343961276986233055640705704843113160118738135260623125556535276462284978682199478848726786010645581312334593837858268686612520082113438133660096399590054202242984016335668900036307894057118594491000181515287893230290430654624149662266490468746819232116478420023316413340720204024175043911541304332847508828317684432345399563339417847272213875614401405839329657075756468138097078178072012272099415452150915920652454225665436477577108774725537933931616222081467701977538015193784229588075639942418781090702224898992811472941707527965575617897382005174304332740939035135275517430044637674709928655570381297137381549680482616231961853609225425194426458393810038075145554962718309658561673615315382642372947238706892789379287251153386614253216961410309018927471250173544838321491628461763379435081480901361908816916914789495132778566685520089855399193515010895337624416428873285174064271841204691848076042276865287885073391173408764590659668676141319953538880955002979941155113634548430907694769658974104469849497695882440979205556821287700873822764198369250603994323091720296910554720455383493404484795789141377187598836313549315582267403267534934442660385723457068756920418241134562883745267700240992344091734194726000307834216975004543590269972477482044790237545836108749401880999207624426019889659897321446806731701166825687874182589760012080652925108869904499010261583624753208781490983721625629018295182685283833974350425972382736571396295512947909748816196010727986964148763038776017293047306622772787595966036541818094610779136477700703626282140802887760035056371448976664135129426062675716254574731375743173332023408551766228850140548570270867005032111795070687257512171407449542531663406474293402554490555025481957547061096018930454690773385985220832918516281327013041103204714103168462721535624847115265287690216658887555180815655963648009685988092684596382673139961335265111429619976351219045644371858707894263310610954140618034672896775788795928073610147210637298439127180125539180536456084737620460954644750348277622443265818908162184985461270876371761649852613866951304297177237583934831433537578399413847720530597078573763210601715899277858081245740068499268097205315463957453792010436245464219436531461150327204150244189699726041735917513918115540803701425844121030906422205502700143753802276691219541194550937053167798703447782908035202965751592006775149277886796117265860616755427979085100749252192569107095125124510485669138243139771871214685232784997530569669126693219535314160358083365218984238935948413736461033666587895020587613216948386814132354845140424530952037742923520037648429668869248521964504936045153514706420932899668141669176682335390519575136790144235021302886640968830163723940611607692849789302218872152093959014775229619178919565368273739006226223182858967942497470559652900329676485955938222075792772199363424615927681942567685046236510414097326552222835925212408836835126027822456872681418768931304310066101521159690428468026074309453655765171860297730640843548792679195408295982761548206428344357627042142088411600166491581145801347936647687713533798330697418197724932351385938145010992686152261098108213583640035732485950873999116892111793375639056588745173994213
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 6,322-digit prime (637 intermediate primes).

Certified number6,322-digit prime
Certificatedownload
Certificate chainshow step 93 of 637

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813478948 --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":1100000004813478948},"decimal":true,"detail":2}}'