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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 #1100000004813708910 5,460 digits created 2023-10-24

Value

801468320548143062937937303001937625404168685812954056619352545737667389685072742945047013638883984885965772276068518895440389537716845520474747737192570153783041576178968161304382968664375946922417613236554662294924218095728594073292406133759005886435550091943898389215337736351581212636479726213230020442667542091280699003513384948770903218931346676932868841795168418337500482249112857753912340466118642205309867124931275293119460974609780275648936892502287869164499944172819241305421701683751501727101737909524443038262516387371035084241917863764469757830688706692148812666548949591811207476994479489222901219205543946622945794040201466161102192676696760504415501698282437442211480514883885171455009285837803950797891909944109833942710740194259706669751152217489459253464166460379105218833299780670795560398591500715070528214077190971821333508767874761519294446453752914607365635550116301465366487296202854310636732602279669212129469393512215329729197702222405127735813567267001029592856104179915959969612836936194671262615020615816046617208569111165250315380437357848824809781355356067074021466005126689320670057541075401074338838638197023039838568087356655549585325716955774132611243416670118383413064030606124563841756447152332701239962135932019452244007454054373566728348040039458329067067450569557315591771915374824948095955713681812216185717240482941990451017676634293817916796236875120327525118175373833819518422065602580371845951231584550095036142099464050779647662045303524364111818839293750156917443734951488291538350934084077887683368934060369119914293476350370035462429148464677419728560217811708853445160229583519419087119308371200942411380114374313950167709376136693849404081404634070113908055973597408152255188308569843827766046902359680830408117843914774552883192604983989554827141687202014860782175762517230815358776497590406162214169257814006879504213255166239912533672536046645762610312716331794000707899931419979652734017441427835171507646185359652686762725326275610534456901395515044661945925687459899242040188987433924652346461456371187451619422687043400017408198885331799003666320613365346671042053678388008586753053626530843944598883291349031833591283571893573976694194761928920094334352244050714812843074048545737189069924984061056579070629049491470301048362987176614072323862728598088413349464198250725421519549789560617420412969400502740423523457479058012031324189573665839492137039272525437866728332225025322951126652971671370433897624478660394772034559675756453467081587090874422501428403164882743483845307069396102793874983454465414336535020476046473665322822641154318426065604782055977898892011129009557902453300771464661934723331457497230605334590969425689707464973136370803778904100237328060683607657646459907547268139375136096274912596616525137829158569166356020021197454896026404142707344077987528172126224942195299100257650056618858194586898806369145987231999940648357717366356569584632999010864846359153705174905723823259845285895656359812485729273287996921921989834903790049031546344965538377806872874289773547340730520130510344428554656508256915942400402358286866193848420782508174284448170829344331854395893664107084640766443076460610219397473176678676621574088389227664825897739951050007557755223091051409592020962233072961767337069714346350431904567084022122103107129205996111716843078615420809916972143860118751658532248921925883756402226012274433153823148168293491197411424171698138573083359262793090998476394654828044311870583796408818900957402068859914535028680881173164930087863777486121777612007226315403372936894703676383965581415617873679344645705528757042574058559883597878610744439484188476892678939316375348330143579899327476273215702143446573387531669889917823735566993594010168576461178176026822977355995135652709194086752574374892367035375704582865888097053099124324074612131451078495789587192791794142441923449378641413386727145120366569788070239784584658756304775428906075957595249942987889705876947311315532949920208743125302365213421037053053945010116275428741324731903123469611089253123390373246956282155070981862308690668191484905505673830739338780375625813827693560593445814325503925895099897826408548159842355207417141238411638091048842050991793309483447761829106413915472207411481702028711436822226576436590470148884183480977427237686680805182423581281550092214050715776298051728999472769976985411626548102339751202290383736053253697005553493844652055930905152057910168860841564436275150089849983138981807101677208954794105706210451326002413403648632124616998116897863085070658950641404194020535467891278150590464396110047545245440214336444679580867865289941018669381370602741235196609015604990931359226326217007030567331318497936242484215168927258754905084035264519864606562570554637746752353720636286416177286421699558688211331883106545342099693709258710779793470998589753155892376654672335837004812785011355455638869711973127413477705037776002786574045077209434481350930867040545879907894042653939431727798895944297035118479174884555350215470013164065834375123788821410467444519664602603875501913804497126798097187086823852886589543350741205102897092177632344100121763003148928575706439032507694579727745909769561379575873637620864395389509998887370544918656486028603374359060097076509184380548032503260171060742482234438278371082603516195117043767820166831221893381029515418858818677675657490748198624418820999510669901138676457065742732825150611280907684478561512321158898029050564610119
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 62 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813708910 --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":1100000004813708910},"decimal":true,"detail":2}}'