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 #1100000008793018568 3,936 digits created 2026-05-07

Value

525413314755637187905147950001815301425860282442021467707120521064949877727956133636995755004252167914969545050717789444253041662646362056496871990389905469833331595588843883993307296188979243336560018868990698591094208546367996565322930238035337069622188339838880651994642726472500846481531482132300799743804756467639919632848143966867987304832908533788842753639588856892312745023334184259223204213123807623914784358509692521235082327249009293474813809808080046774175609133641584682942367960225627052094223538014424798735996136111559750285380455898339958679000776951453922619246593992981310317693614521933092854033541189211790358008473553167993434959157524202492424073249616028887018492306063975729965197118952711854979571869642548598286102405955262183830901429197282761002482262887791332214447585519834580098741179354416091660949460783988460599557665675326531667871265543559914060097022417769363609929411075909623816069013262615271924814680888975104041010741398733564290204717490531647055148607829877610396408107301225856853419257796998017192923681334174611013994504144932507487258788554659057769620624764700835629837175260603103378806050536161040029804574765545370891332780040710431831186070979109611850131279782642753660875423761780682568632706685948076101069882603369891339631594399449791581447266765593335186273188510686211064456640238510003400716649545495710462470493908648414586022791807653070019173980615514664144212335522133470283858350442098819112385872311871493185484956227510288022174854711179897334836218404079707834153949260359464264925849261767080868213999817633977731041538209579248541923368042989810051861994818501802397784231383279768411726774721949758910550952113884866566008948456158745631852509241816844813159024907157614909591361279674794698931645834573820944921031746764248908573046466064987752069751997728645413413055930802722122618877468669769999327541931103959532915691906642553874343782926768258813797365682058164234346187515312622705715921971444751978605220057338803022268249237881229059958511733597654903820162781453201974314945504722250063035287683431734453962320878438623354962492288353945410327448717476772991884898605243601810399417884040854816166517248335993440522546698311694292364058093561741511418889996434133801697018050843619865229046307381192966296077050573211313347637004718827985207031513999477711592608950008558733475126413917571469136325115880580709311942575583176089055662077732426783396662331845259888660276212376028378868236131676700329413422866040876740313668997992403524502569548496268785141433125462647214452797207166191703810060749890577054741019949120579080305250637389081982396362644680565092037063506628681492733841472856498822560141383416000707015383745167703818323090422605577620098692372459690651270658531384667845669385171604567511549487995240922624905248054499500002716113543210038515646593798517663065633468765769872396437742377577855349058989434889503400196226834164715523509857026672292989820145881595751118438053514296672017974189336036067137410793268566691898994352161768865323699110296357430306781696241251168593772984569445041151725458719144860914517610575465525024967769304459302283481420004399696611075166643426882760673110772986967363118716352184586217238197812767064235037104995502770874061913093852645130966146251212435213557692394809482111073496678366481427912296823247505740008146074486468724244541609102183961912526170373265790389809501741875693884243616848721229526381147668048796133297463867282803139116070446704657184291982060973923598090220854645562851866958071518176158926521357894638419716292918437313450460760027687326470143040355438774123213678318272980929701844962338383529775730699235390117552814481743883601029970393663376000326812720733876666538823553064027248173861570825920383138594385576181215910227983226786221598702977619320391653871279143424267701464513989183586484461218549383753685877629092243744850676625142944096417249394406965645463802819
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 126 of the certificate chain of a 5,735-digit prime (368 intermediate primes).

Certified number5,735-digit prime
Certificatedownload
Certificate chainshow step 126 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793018568 --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":1100000008793018568},"decimal":true,"detail":2}}'