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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 #1100000008798798677 3,255 digits created 2026-05-10

Value

247587730311507945317200208025782545617257669605694498743711264518092527559394528872831454503882407364151148159506935181004360319289411746327090110581688726629001777335268871362264702077438479272740694503925682120798640327497714343126689102347178461758880959191128646216273248550184614198654236106921798588978226536199347087873069098020247386231602321532755817116036575776986658419731210839933050679599118953510176731822033842623574540541540816968783687288129490545951591393349356225723443078014690989233726387608661729520574642839012276130118929781908618268440886814440647017749927227965618916807023535302665863969893101932131863716827667003940552594954348528866459996041963211744541875843411447725596433560324754700402318135287632941652212336321725054249647288426207431792144935663342741597127979994944101766512919362500207375118726406243755660924635242932286106533972789065071592717306160455098583810609589041355464505448673717562615798816587174322487697224206825274502301382088535622979141074944904947142927154323028488713662545802702072694146582505511934724491952674159330396697089495921946495325964636035066931213495004749421395796510329193838554789048282496526911095915923057864999722213124882880617498131602913332050342437290839454809674437940086229756747569085336360381942602726344652746505372210849630189270436754952020484956216697909496603261653659815828727272811935131385461808436727334938827951899876816000356345661117429282460714964373170263496973567277144880240366086199350012791538558835636616932735912074298482429181293688675612742550936627314621131891225511131629681755200468303997707152540514547319462260878052083297522071680712244811048741886521581495746247384624566909405025974357645725025364861651223141681521891794345191079051653848297314905766160454395847171136216699249981339101119041600256576283886326130256809239642570530526355330662497350549625186764043902398911670575918075906738714755552132469931558321416534011453214645135184292393806356385883746643296578148409291083473639849701922231005125334143214540243780026036128737937072120697055489500465613913230861332847731134823405804358222389434356342978853596400103563185017002804710204106564150677064831317154433698197535785546004163701356327281224373357816969891714042585795493488885795274196962562994220865579589836286585659402137531847098923468297702627904087665641826698084211368855889366776547643814243408338387080312398186530233423936358377995678102235279265052588268132769722785131014879741350143180441043363084842709070679310614899354168435715481312216164085983440081171726202630977886237003125279622913125931298056159445988630086300295959693987776400967973615184454639208523311632682730576408484219067440252548723230304812326719030767603123216354406333514569083280768757903085909097629378589987820672183339529586341447267671921164216199080335527476128771742158904114472981426784887737526734819115732465589079184785900095371651118407473814981632181124002226052617697906887031238986659662705085839424889310395516312204944894790544662866405571973950280951345293999887028996196016636723160138382910116975682967886044108962540145503083907095610941678402921748862954617464592940587942140176527194941858611306129573438902876491210951516261167565383446932759582642900881592591
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 3,854-digit prime (249 intermediate primes).

Certified number3,854-digit prime
Certificatedownload
Certificate chainshow step 45 of 249

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008798798677 --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":1100000008798798677},"decimal":true,"detail":2}}'