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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 #1100000004870655610 2,171 digits created 2023-10-25

Value

35374881653304811993249795515140321917691287304782733024852253939934805005211339513643758727247399607042141481482736930869507980293602962416977567111132876328213195877972316558877281111972368073022454889722028510529570312783763740367389100163999008072803943915021664067548129923925308370796932030647732485891693789303641312112756860246972748552380115679242313163135525702729399029177623232539733362511136953921741040900243379699126468559001385925492712128921310772399694349603893948826351375274470252430861168861088575869174318889025949991974878033936222167063503581903201430398820315744246680447084433858877055578969430285538854785244235728322370339741661468655278165714301633340022969815226292556064271099429252795850068244267726463639573420647304428556386207701179255885754605867887765324505074080511126377308997011325603105091314394295420634859791634791170727575283012144135712949829776514989168210785463366194959199663794480576059039940709694563060963074513365113601962217436751333445813314632213165530838481876065865117331467335811704552887665991488751908610807750760628131122719299176042534282863915197516295699105584821446141376484377216279567478981467432872293583410475551451948599304461639734742184084669471026274072528775948430010710169549361935724448013513131166595379956879461586454292252198194491288918278159536786645767877051480199385911535629702606184046654268144894377852916435043748012147615368739210157624582552200114172000626872010386613669481077641739682216946633779743970699209095500833533465614456657054620319674645873608489177867376061163656913789233196281821824400461042998858029090076348354617698227705022440611623597739642609169147918649936145045828223021160853796529558900828252767960018207106510845630458956266156480488258164139111275652546464900114208675380952811242813754740419764284811086506554303124737082012641354133218411987788994720009469266334361713827143739002321944809894686278048581844553460069878022847468943819012421550385359064248932477337383321995922568699376797429046411390984004585513892857803255862467143169202695956320560237855476935090836929279924463140786181867032340803981560965447433683727813441249910397110624908402049
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,631-digit prime (295 intermediate primes).

Certified number2,631-digit prime
Certificatedownload
Certificate chainshow step 44 of 295

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870655610 --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":1100000004870655610},"decimal":true,"detail":2}}'