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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 #1100000007222400866 2,070 digits created 2024-07-08

Value

197848351255836626258263533605780810199912325477963353785496186534243451043298646996724530739238361775010135556766049370956246853771672198696626020931613666682922840503432622396079931185047403590498469292633354415519235015688071377176321944912642384062174213380472225003156281616193255655591075796518029384841390656341818785392575600394770199656357292578714190980808481492239402884985033949623410739919862223333672813678600732092841200075339557468907971232085266044911925115071839689757687895165121922075077366659887036372840581615319928225401868242390276442547049836218787512426124969595133513477059674180208005861527891459404171222838541467738045317545407745239890353502999150058191964621752414228703849999239344141898362700668976388380329505252155863423673277615167098299263169357495216649531320749498183342025330449128263450720948151297122712563707191012165112807417589507883302657149713292589691655201638866245929980213785840704123198448629540367619191734269539693330435628797182377607476775041717427841962425377021613578350448784510199983921548468561664318115338897931731130986495136830654140655522965014448575709534898744256263226365247939648059577654160788552862890441655422522006983387113038448605217529866784493249054644842989917720099835079320627661140876279256542219287210818637566608071674555103536768065382043544967325841760383652801726436879875933345338581937094296154689255690045382479991179454135110257860080777486109282621741806081822254442313504643508277710102994872588299186212263746584254635373906965146719504762474497802560467659520395579813690177163013481785974569588711565039220537041778256891782535967583660431699330783969708632462519253193880918915383608233245493736259602342862641655010747757633472790300442650509814619267483261931065909854876271415226562206299342695844601978720504818244997784752147540276836538743474797997893497759053767345577771844698122795681126568547488623269516108752462566660121855320899237129165154006775617159132761710923583128950345969176418869372362353845231524919268465756435793687241112339080556792809688949800261
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 50 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400866 --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":1100000007222400866},"decimal":true,"detail":2}}'