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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 #1100000005816067585 3,302 digits created 2024-01-27

Value

13612270708877770862898125201305293724101876139776439681698133731937313098329672330288765843329465167787093681648352310074920111344587549621965024367555578027073566947832209087824315843476872402249547675140296868482855087552139187973325244402700719236203522026567640711563419911875285762066313885172449931373525051801221730980199135454600720253578774506907111236486933776005396443432452277187644848543078871281701174208059251313022835136137621156481182443973371809239797802796496090092129235570392834180579712293361949578468056941993604457279498187270926733251769689318261232192340356600584120469345539834144379277120163851509711552211025444016786317244977139423616921538062749565444654240801642817325333302078784340286146412312486448327570762299226873951033777520995365277835048977344330143063126635735506290592621996323626557731696392613045333720538634160067496137589162353399445444743176287912094208549951153293887789692230486353698078894532845634075097508702700444199647625637621124758159934372214588494949014969767993363366595968999149147449851240913782546604496807221100614684116413932869236789417344069785867418921611194046800823718459643321276851242847763759798691847857490057977637397900128226100608337798242906159296275467159060339346037828189872291957155665357950567478992202216849648204119755976247050567097222381818982010812301285984646420697005685337678196818303202251927155241046751173863911003727069862019496803529468267065952024928846124479753036007791349435788277772078347887082544132676931167287778949779626236494478020905963104486909250422658849875627881285654140891373026616001089038220368803650468924607736749695449532338912829556713321776688362500150083980246176292429173390004259881840785150738611030992714307970350739404679851831050006658205931502520430466887304605715917428028611298810871354846210135252029769850541959813398036997750870764787580353957874535394668893315263838844310009800606406649833354533925913325864909893850888015416170794093320975623651896279780412821927930506366920955117752741872072104297440468491411782459969684325207754997138072395837727460267794805471468338380061901113200402403703412544049951322037415881907331719268841631773116213399673210557505844756583329931503172022381566862820160610883179294903400966576377862139010987624108289850248142766957532047602905209428909567696829424915620920128485728939675750051289949788845597210366738307066613343072078168596613788217096518162915912294158474256267272073653204173160311204156517896175279442508967008962708109566880172822866766167893189644698745158416560834364951284926034061198515356850212362258541176092724552672437962953916572283698461097284414014051692914467530151231710417716032020640962605896101425055743426313832644102840066852785643631216839350256240677896286539968773825986604469597830816288274077258221111041264086515841639440960956278193946685532133738684607840732678032336485826227237034707793597986227129927128913418476092568423425910361869131707975227130423708434045291815131158918161290446065306505591544248583783542668509946789311866019828028896635986411690735222697354873617925789038867296373729903329894932613612069413678975766007020226957986090318327046743866416356127820440981852408256594689919389458222085768911016723260395753177932475586477304630747397854207444409224471359646717
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 105 of the certificate chain of a 4,860-digit prime (294 intermediate primes).

Certified number4,860-digit prime
Certificatedownload
Certificate chainshow step 105 of 294

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005816067585 --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":1100000005816067585},"decimal":true,"detail":2}}'