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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 #1100000004835845872 3,057 digits created 2023-10-24

Value

172529366423961353402132977610048349742855893389310188077507795032719701589597108714521111195248039268403094159911601197853361508423382561336342751472460896212666963184313744255317857302327068366507302709252928432757308205231017818042010386565597619798957015534443463325897469914294090203859180315744065440643522068159705793938951184785976765537252461446654653289067631212354696884717575469431676182071707501864893205370418716319377989963706724257604481140364302650322677937083240029937402329693446520821139846678036621516275284688286235612834084393098041712373647368342380087702213451974612675398812675079176459270961411319712213893147019486969951144863505861974660574827279866297013234649093189637845414607312547134611717930489039571417610008659549452528272083563186079677738819929572889467463711705325514017524666884796754372076201783546999417763628607446983749449706304799963129695799835366023830124983571410119990105496318729140903455015645235747625488721785728375980084731662556362053379332699206545761306056278462582141397104073272593393209744787863889888301350571881257822889074293466585464716372638315959857390875492464807863703453189174843628657891321994415377826689113309172700278644073173230964373319892930867527546627222160402480851571438291096409243500777047912948230439721133320749405117166595982332747261264611872021565015547961224351941097662012442696492613690675061349794166657837880506568884283625297319279345085949388694140061555150611885944561538431957617647091202333696319975416433717739982122443180489667561761293382129905067318235418612347125957511624238796782432761935096242372945150156496594934385154740902384862252731016135027227268900184700645852164729576137511073246315835332411568568696521619054168936100861052636498361055909694881083922435093596967312310998721398765013695251175824361637621866649237521521265629321746134843421147406227258914646033729374588743224646909272544572458398118712422529530192684300997311993001549166855286241526865742041213112816751795881703514530805084584269875885274128960161562929468749124456295599046681400970584918900745229450146710729081010095151305538196525763124172396350650916352255457794979322652592499433971523541844074984552919849696242281327497986140042937854151618790182533704982190770927074069064846135824012892732126389853100282652937592192523357846520342281695512124903649304547755773034918569405023244480676857140694250008366065263686251633824310886574820577504980962973522555334203410435346655410115615129378517516351854983396776866832827681986152630650868435499990023107597655950633205554191764950570832822033032791861012634764964977359945889677411422308419989952172108098112311273362293786954561009268568528740208493605486643738191125761538807710823274980805431633452774857513690557567219466007997036431142712761343989797882600225376275939193668498639052132518853773404114187965815973071904352891371053770785423564707305461610440380293338805229184104558999609960998377372178735634977779280006691602427623771216345576701408410131000525436008185893458410490214329990986708054829711
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 3,683-digit prime (410 intermediate primes).

Certified number3,683-digit prime
Certificatedownload
Certificate chainshow step 65 of 410

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835845872 --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":1100000004835845872},"decimal":true,"detail":2}}'