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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 #1100000009039157841 2,740 digits created 2026-08-02

Value

3357037688604521318055826311093792381648844778608901625610199337556624368691552859238443560892676915500267189493064127718861369528743614278015170116938507969425169584917197600449463786772556895051662552097704334538702221338660857382661879670670320933962917561316558781131799809042813956499977819575763666318619096049556477547129764364486270263652143949305939377465583542201628279459316646941399449029776440276186504582522682964745328794330301145237824817895756850633956462871803947455937243463434760839665909897903906243438457045467302847875854579605802146609326228456762098102550475977616378189948202204558123334625473268088310653826028080949247068623042424517287129169264924871742255658122690614545814425736862904828305673015251879433327521404822915316522315750740485794776334897980364205786141182994396802486882887435555006577499143241342001494231197204904207292219196720642922143493492289666831913616367487162899482943965001007996402472578860017262750417576999021524949695637243522061753333034757193033636264836223747581675165717944024784217788454961445645881467733458139184228768611843059723468469046786834663633295823352401920495030643008279910716110100976791765397788552588726249002545536188614068311379236800795805037012240469016790205364767540040769796364766671653167732612809097693602764694910792548027186800281949220355245141656154091873708058680558987021796018410383164669065009446208012573007851375319003802107781796449387448350889271516113207073280802138387311955359502394009824089376309194914249813759921872150515104170105717604012843625987076038471036703098899606058790901389970197841297666014189577045733007966496078810951741403257027225496048456465941055069744676001378026789102399121001142089445963918240874108816329887547857859234650637446744432659062020190969306409774830443261390305679643399320557618614120348573925061967075854501049244082386712535723462931491066542810500388121681533407192474361940228171809327500777835506125262699649082277015888987094682337321992429798520027066571412673145315989874586648102905651226506313092196916605407678036490887874771869778902756738753590674053286955290712533914647199542235719345320748043107516813175384476881879133293389576301951726843389519080436605499815547089969975002006021708522355593737144595519467707132909991882576266016985433798501734051180754159566513612550383611034523021068967285373717418322885884009198611204732119625520233050867397175351903384924464430467873332245001615765990252884380288196938111605174678056518589013882551770834371101596816011155469220478001577392536668896259554022046863749567507099962883047539909085367893308163424726131544990221129774593169692626812711481676071533725788663119463526333273797692916271124125816462945528364086542927744359639
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,804-digit prime (212 intermediate primes).

Certified number2,804-digit prime
Certificatedownload
Certificate chainshow step 6 of 212

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009039157841 --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":1100000009039157841},"decimal":true,"detail":2}}'