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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 #1100000004848863805 3,224 digits created 2023-10-24

Value

83447723147457265231499356174983702452931596771593962881800849374989401094953015279341012976729945422459219997012258588951940539068012393798415478126021958913347689678419160753262350968495068057149437954363648580391995120513487619513704165105019504671707649735223633933220034121970096221670749426208551604442071526018531314806187592970208379521674043251778714271583988098570210434703266119221852248611330405647104461112887544752260092922568808136114669580940201064471742542443889368783509165995083268019785543992936072144646963524097855004866811302803933815802018085093612234009660934759873857013088286121087246934841847958534530265830585647383004303056033546519984642844240071767389079061269787512285073092758492436811164225889461709956357317742059751931044475277870018678455405320185793737862118503044218696913968992214484899747922482597794022756392822081523302414737470687862176059445669740708891202166957179713856018882012640058345491292245013418259721257898158106010554605190872070463609584323378696974984263399621685666665704382030810199706934745507527793071118512138063945006542402790742773665787588799477195543971546003054653003195992472571207984513510764873096485799316737231496110716380403296517383148227157982581599152705967425434027137380247010663836263102948447162731487637157399333941628697750545969131616459204412958992068180960920325295919610422793913836787935143393971255872192758545456997333433349398765139515599994799044280941662062890745901919531292389440189576535064846064939367912855390688515739579373207847477634377494961705023704442334015168714168968446438228932322727084721348417979401288155046148179948704166977264751827233530007511247168276446056136358817852059460110357705110295512583107471389532076085174648060941767170174953988201714192459432813854380424472346455874239802876760217892152049578477283658248048234993688301187806019740533893459393077968838489148353839230137539376224772735426355202439407126770202778416106634014638850799276481088077894283820106627503603420807669627748573238092145832468135392022671759312315779796837405470336667277031442023184395866588282949908660693651897849273977581689635098184209400779695195051935055977367158108109853745015648067317822680052616325094491793292081700094268107723289130560832179933957077766641195528228129026050109694367351753923934741993951285377688921517567298947667686745361776739147830518289287393910842466159218481800532952920604890947561003496759210277941796308504351452080921249157004871384757503799029681604163288400537110752328761749751168269908119591581245693657522427729360458494488271232598204858240840356723940747188406086562809961889638582367417742879684536767310824173470466660071349670880548489230398314956597982578820611456539770883920858048224826543058855167448810545508780587426157080033433403238626640770883959253562621821785613115813768780400278398748119536380577526663479988521879296309813002347095977872965335850796782737228170707014593402004895278793770040265236166694684702844878994715295727562279671288916520050040274422954934441043138345118902129349364370233003950377614612717636358172660761894662585967378495193872698430811026106140898297722524130988250924171647340883062145691434689538899942558614380257662503764407
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 3,275-digit prime (360 intermediate primes).

Certified number3,275-digit prime
Certificatedownload
Certificate chainshow step 6 of 360

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004848863805 --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":1100000004848863805},"decimal":true,"detail":2}}'