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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 #1100000007047571358 2,727 digits created 2024-05-10

Value

321018448950493743141132331295056300543395711005657670053270687615569982531726557237342265555712408014571961556176061895211840386679923557409216364174307731096424778974079372025586198960676256793733164514082714939401301452756564751899634227220279345525899655588852877948289486530269029106578828302999045500675548296159195041230082613488060018315921231591470801758639803841898175507189654565161395913948924186890820327361293872338293972813548938087385058792837486997472797265512488055953936086628214572056274615883313532086325835912222708673127559084874455198344211253132983798418905392763414347208459043925790189227040116962912916329333086681570729151081464815877483980929794422164132742444344327014798792492067212698656972492885991569609412332308998417890007339692225343749014487970373105949370894680070008972777365617103039447481665268935224831241814889310401510981280586720125853448484569968349861181955672897165250685980296003295546330716032030366974493047904862702049855763556613883423509699771485631787922224810640601806380435223741932643247927605815571770999211417585874574766935993859863382464204367134211510840991285774867651662638987416840857242780648709135652870518095333737810019830189069715700447524015486580617119728696047538123958625992305798970014683158281613626681478060566076843589909002317061282936102287174346561350621219987525689084584295166640231375938694624161147051398555574590618476026974627977722692374563370905012055395254831635019912820008727111735343982591708695863971016254073666409965543758782222186043773346727202263563944731728806690357940970129027956748351526141632599749584948570254163074025918876739771980189214320186483848311880395473832679357089172176125956533447152541147314040660370027040542930436422707271478116149231833660295267613928272994933783150042897870647076508683095984583692012952909790151442384764032377239501856038526063051994838131525214969468189284883222948723473103294896691072783508758035218989189472349465975446170869308041212082009850634718412110801562443860968222161149067399693944745832333813349805249071852566243195713952727748805056428414128069804411228956947638228503596121974987066031691582161025967816025638171551412671968548682394502556911152802070370293505188048575445236179597242802574497048044831996434174530318613982028689153237394215444609054256285603459669390720525470515586850591270731248981087776360000739454258039342077963781973212762378243641031009300954127414728200421355665031633480036480692387896445936487843336262254747768089048621357571904158567776220013403688954259952382393699978345500815156382325515243229937479447480614940554275710374630807939454101851462086669401191970800568598768562111128775955870904892381041492295445577332617945019835947
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 3,402-digit prime (238 intermediate primes).

Certified number3,402-digit prime
Certificatedownload
Certificate chainshow step 50 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007047571358 --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":1100000007047571358},"decimal":true,"detail":2}}'