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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 #1100000008678588335 2,017 digits created 2026-03-11

Value

1086472147466631580483283091980705100611064340554645931004977234974338499816611643019842701198493795610236608801174072447742684686163460996714244997872625754293807475444503066535525187660773412952430253108022079412715205017680674701025338316894217582607443046121385005163042268902568593733108082202582502561221653381209742704841421589848313020594690852100328306491323089081718790089263065148466174888650296195731328876391993031548016126968092338808318909038752875383725825269007990291022716177374937099698134740350593125425725104910099792445942890516863770826948506115107169549308248293965716261472830656649874640284426838947953798232032082193341590634720580263444397428563790542067866317138019291234516348168368855984829121953089691404042518527551456046976379953916514528053701091107352560099208469226954362520210175294369924868024475544220406231607475272798023117236133745482189822036215185866483023803714050812898952371489865152660959054559541324243713668669949224607829008288832828199410088896298528276706208399035731884402501127628203482152974544079056861469671273411177929726299122597997793122664196310322550842250297494026488343396021072606079550539402447867999645314735147138188477060437009578948237621738262784958565841887145737681955214507535294589471689280036944275202150766120623274364590473626894932371174615811214982794191411977375607158147989012500566223838621988202254986642785704582798583611906288720565732069679079158395873768145015370493682415929237450928336090880926088995364997155432817715792519063081738780542457601221681305549481057225284154470556557941738734955134791774429953187973261023147751318036419227418733943106100556238853621765067715117474078037648090333800410471091235313063412750815783915816514051501924653648673255775092074792621023986448614870165748398093568484687357722351964947716931140101310247317323667971448607479624196534087280664716652089564430136366000316013532124361116240063409679641567242617622392616862786625785618893468484071907210130131117840483811930311288352085917
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 2,398-digit prime (160 intermediate primes).

Certified number2,398-digit prime
Certificatedownload
Certificate chainshow step 26 of 160

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678588335 --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":1100000008678588335},"decimal":true,"detail":2}}'