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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 #1100000004813496341 5,338 digits created 2023-10-24

Value

6387597551750719642715183511948636879965226209602448822823703093345574807103914782764095743226799731378344701133845095228638437950740893959894470615002519702331549160089735960937350015453380054841540776707095211611734130959359594281105683385907173753483160266380840029181993549080236903935711136296889049744712647688850626537566202019274965540352010703885786324029647312417369507400467450624650379377824509843771348384388079536422614423449023281805291403771592459503373711237493631842119517889994944932779991105223696400046378536267674213125579575560739247494364547552044122082484630003755486279166449857363682291746322111650824203647258569497665953198097141105158331329832982537007704380733819268808859828712627002326831226126649762047238186218305540437692148586123184708770485096911554522296030099227604048780804809257793865895191696348959813330957904971347452514469384950034429135734190526837056127884272941607619584802172694382490328171361499919459732348433093323261852903011493685563613033578082474027942247550479000515116550004213569277798362191324539943068301840740977772283324308353540172360958489749251425141809259120566958115751776757918637105585326294384180913866427010479234157834485823095953496042739689930436704613541814965907036349612230413555638887647331015195675265023955716008144494922151113005116482371545736374095169473935617852080905761774570217434160810468307024072468616663425039155401878761596852618734314414163023236803051234885016660118015245669714627489979342982728781032327163111159955403657708462788854590796252831094387328592461525965760604321511287434805514756286870286653220069534672140016278839944975349048922770981953891622948971161457723724432582766773096197555316276760291213974543808355113783852560655584341411240328431211052247790612064544303743984396741462464328064864202249529437299952973585002662143753661692492710720919515247576682816416043197409473324957369783205805212383338801989038170522186658325626252175198020235663189247548165775149760457751346420935481399423405643812733903644931098520998500736317118527894235038334967550958207872636821925211354326078776385194196693287007198038685853820557803274194499102097302249593115124995806548617246265703739874665669493648972558512709057413906814467832517788878167239908915862780077250277155414569684108898430549191081794282939519803269423544640555675492941437222859651575722048291054603377814265264786124525137485651757954451302575373487412435714081695402231469133893226288932736306894568483390193284087281937794735158864945095595641786439850221629396385718774283201182816080935279544539386719258886802700294279054799414461430411270917049275457772445452202847871729126256387934038830986617937949823625254643740401447905820885949428825529438616059670041212528475653922573158285096172893318238981983889879002623042738075021787103708861489659224338251408983504042234769012720430138540443137200392342750060631218735509570847644673911061893092711923166869159032862933375514153318692855392806403071688998919647397548838062876962996301348922117071140142059363189335891701847858069426957698245922467732950070810477521764721054988800389166351350474685907480303983806721153373018685357739381997106761355303169581805544186721487949925212782564276907155855272437624874088461986263747594619763057272461105055408176025386787071334699349731432475643654657213564196698162651184391840085250991037309764966214066523273985067441658785396357741540211807787820560656407919969021777961242329201738209447862602565060370015943352720672548747632617041760187270521944233296765660969326316085642231075281685475770267746473883611392202972712246469460121557376964322802837972814506755846429462104568403818382751247470537479182058783656023726918679185039332519068427712907895666181213146395474736567548559210244347202874231183925165462973987232152329691834844466920172661504136911405969904156757459344529290126347913437463001675689591003679931394630686817552871483882778071409486991866654356133345740509436419546245098856511994914229700515120249651573304989245547198529072729260089401558435583978968402481937510700941542305270311305800919064155188784503000667602588147742926217311419176886705392710819540057004246891934131875779762987212823166426467478889618939192545950225857012416381231338449723197366329261269453976623791220942550524701559090082962027749486096471961477118049723967632852978662218908224155265872548660495610912225238483735056173658067079819812752880753513578840645679716731898960889642853712547455511201091722619902918654848900536191036318251375007505599946881283691395794019831320880100798008206506725390682095779296884988928684335146834597703496431143634489683326996100554289066103291707604847708122010525800903097199922978996395269475481654291853399164776500154645470857094117218048416160319889416946727235708860292583848753023214296247359681858335192286843645807596814849348742007642879701471000314082684961255119331890773179465769761609747680013963052907036640095588302413069916405508590851244086690603451687702969221017219680761786540452523199229588027158569002104786674537843001665514755715290750225725931796959011521703380387151528434837301893697385816259002509764133075446022270745771076328403585655797429691055825967551122873468056206995303772553881280235647331036852248935360145969346233152551368353851230264493595464730814827856950039339774144759
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 6,342-digit prime (652 intermediate primes).

Certified number6,342-digit prime
Certificatedownload
Certificate chainshow step 90 of 652

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813496341 --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":1100000004813496341},"decimal":true,"detail":2}}'