factordbrpc · fdb
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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 #1100000004813478527 5,427 digits created 2023-10-24

Value

424484698490305402050252802775751944656704581147414990337369319488907743730639964612536997679243535128622138660443227374778661213659941732373503438734226325846333934909270948157460858379766468702412768322537964342876035027743578271075928015777275448828905829355337058334647805422317889163970509778546723338900784077471643435131410263340985794130004532449731573260290967995486586533055971565191571064934994151148484884667483879019692267041856297933175821354970413470970452920456386788029107434001785984104500521867732101817689066166037578485118958105933151746518253667321744362832443740024849911368333317569451334128659131390802290219412009953320754943967907943840593897648065136903387763416358310194180065387760308225439765065746949630860569152702339484403186063486813000912620523489637771122014839300367517527027389950550168859053897400440717334471309199833460753904068700714949234213089207096420146707500696912912309009738164018406828150788139807348041813335601697793358243414478328735987135312020879284510759935080199729082808097425528594266191931435630171329796067043406096649780193485586022258018909574031888356619617703771519055821934338364228081645013400203115046880210460416928397347637930390207529336922716971634461112835560593110109586978574694940524207419138078186406973291670661020819916357098169663574594486636812554473603355351399203755749635206663921447096828959978875669812141972246507073249322396163641585981248270892955160583875810054475865864283559845199834995882534968498201381971672260713441071704807634053318176233334677489136511929540901586022074109739347874339993513914570007966812351528720632395546503340589563236252400540480023649534160496956743315246900661091946183271764941372719660390576454666920420477328197432007488957945408613052083488966457324209970323861966245924623945271212742153270379389775414814172304888277289362084644098077640336359188344155201760404929109275133988883285761438862290201218686041699914196843116836842928218464057611578607238559287552795310575475795182174708820609180573103643114321730686614713728468326833511223279072322448680976422920231967906179661278883883890283189866187499764527303196069878385309178100115470051199091311123090520488635222975099428011467266415211396732204552919728037736311719733168005980278222220702598014597294082723067396445605815041320425744612638431604353373907184178029304403111239180300895415621189052530950278099109270171138352821385974073295924214621453700455309040198397560817497780301786656477211294096856134585850875410805091252865664142192649871316944068158433803361336721073523585049794552021388230534462010738699141237020463586221034334088253750539494365669700935441836592131963753497071886021038192765574066057753267544742750032909911268335446450993794625092651514505794190402444606807805715387176769381601467809415779991455950178453304895801915727988980697256304569464750371478451658354918717175358599198664793334557023968122963225140005125246339368695563919454951207868894943772018231143995071757413073224391488094803828729800275204507077847289963607175498801660600161337778770635729173066673329559829202440898816747847544539205603850832261768252918868288901287986023534968291763126283383653673920057365692165313041623059980965371388576366803530874563082309035548788783625730764153562032450356216944994432737201070177163204875682540024958713568284854467795017591913204570352403705642546031294714115222103548216343753600670514278561856375335608240783659045484129596817482651048404863036327200398596444427867321252399484647734792929664016863768915194621408785076852773043909001493274420427955396148971735483697211817612812082182474827377624553800753560032428822040370230517966766498158303529389263880475537091222467483049319842092590683312672173330438803663393821641132831497253620189577127694215314432007684976139984979984427466206123395904628698031212373449111193045857467216110205537026586264762878165813096562899669846688163371118830328600458492595968356244544725607030529875131858605792547946634077563097731482312802389867970228095735904900167536002087583257094069397810822358565887920097019686995102881716461043708889595491275000893254014782829317505099713224355714940985624590193952068629669915811381649085171572048379199428055475088622659356237306444263397891874062752538246438035645393165658308516975028798174326071085742430809006866822398294662052047557201632610512337749695958779727659994053831157155402225122331464029494438715103553088755986488218585105172478785260262662082046813479546810804933045684589807039231121858690288837134266980966728336749115246148627923030378733643149567684463934296599938996432970312125190781891509629654525684490218103652831460851878195576001360920588606126462401759156527951807837644332402655675177519932965144054437780863396510596839633970801971539198716397822436602413503296962527452659726759458730028365702928681469361135624906522909282583312256360450637170800832358970976229019696416727927282308902172445300688168774474592405930811240782105124865963136444825673081620391901879043671378877481801372738319064163362671458760990334056642298006763381325753718294922307869325912146123443983168731618168123333538793599844383575657747958137522600912304674232689605957866448145547641466124791941807835463767237877416594146455625475197724439398267899062222733679206993582779581862420074594978308667066667827406777502537097242353708161708045941227089760992552858375501452396974341822931806262813857
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 6,322-digit prime (637 intermediate primes).

Certified number6,322-digit prime
Certificatedownload
Certificate chainshow step 77 of 637

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813478527 --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":1100000004813478527},"decimal":true,"detail":2}}'