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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 #1100000004880157735 2,227 digits created 2023-10-25

Value

5617199007723695521227677636777738291622517364077824833066816442513820101146436107532041019545001926025141265308522681381581750272628539798540835656362209327387624034596229143787340961332478643466559736471005064334437275072466151596253953040553685417375738571328540391623166687608126509298976937140799907806410133368351592715380709493563749829255007406691756829280618150886249723883045012574944054047030923015358276048491467844004043596434189314631075628572015813172819797633889785034527451975747325763257140595586767858453759915720573074450276536699617259937094451438721900345249797607224616976068955756713336124815813577337907385473334840446134896131670401003196835760847855627961877067379329393203101556604810604074213443807719593539600350842147924094846153474661828293364523796260524306654515390722155419365041827557073073218059218902793627025152336064795006370878186044285410813191044770543223571881950319548198049114912030167726698221025991561945694198666187725512597028435988848931065663531268090099100080248500029949190110693401763472942929391639000893205515059611637453304226341789355882625199172571900393314500014438099216186127618131806759471241791049926098362644433507443091013062623601265047721309413747829971733169565079365506066918529881971088988367602749971737660387855127044635358830084476635184671585829308977453903595529611948192372823787910146877626095746612022108915404662351335947794296252289768552169536431190931290433421480554178579275951214808395726404812565918640513921992283416432388370098524055403749343708704307299341693187071356354453835362670982354488178083688484823889381796330124839429711691015288822482830603275223739176538257762349482693224298352427988208578874461874948996875841641229525659069297192155948636380218564337769788749985137044116254207954250895106362369287080097848145400317041711669420910637338224160090575454190930470394410238764761232471506089914078059150854192345369456579437398043377860838843387420933290367888199515936272563424520342928426134274994063808546498768692879025929590762606845453917634764024835251197622183204706734476118018704160662788695938106083142439077442728059999661722423309924431995412704500145170599785619817328022645397804682683471144077424518691052001
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,397-digit prime (261 intermediate primes).

Certified number2,397-digit prime
Certificatedownload
Certificate chainshow step 21 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004880157735 --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":1100000004880157735},"decimal":true,"detail":2}}'