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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 #1100000009057768584 2,865 digits created 2026-08-08

Value

138075274103691593226741409416121962537049072482017244716387014562870175741333286180297852237881848842964113089764300726622969248962149679500949141721687280786987730741885698808213020720420054876136461228753362204350244412533935776076242892224185921076605538633915202622500897071889461709095940849673593378127518980870652623678386542493275840711108475635387418919146443988543450641655467550482435046988289733425309430082812883855685533822256369506177684591369221285696969318146257464905738006891561452130101359115405193944539859520195411360296579691175042037475571873777088198586067193046950082843045853040854603803741266353027317196616513577340354768080410582521618616227971595058626684919380104692876863334170951029394852418007441710926569419437685858004251146903346315559629910830290849311011338106111556675326338301399572708685161088108464056726547166292869075364804406736147501335071394859034677306254742331968329299439291235460035662686816878574789271268177053088479507807232938681284257568089380530386837484200505120944585568252645974533974808642564081746924484239098936388807378729730188003366930841840457593342426500783196103179843506183750583992332254674490340879613354760429893554501228697931664739820048827527909439227182743933734322334894337084001358857179051653889044594497694857721085505176018921815998891285853008669275024862731108735060124990124951800839814285197858000026721905341791158828435620974641523582645369111781630765001176916148422330244608022881269260355297064882920983180215671578127198158760689375733106765883238943539034576319172664085769694219948935836525517089452101378415323896099855672413146464194619743902702883494714342147882655701180817020609397454082506622349360840004439420439019729207769613248124182807421459661009130286838210257767499294832652672529395125618852876036756004934068938902538528669982547910277450289455778276874512048755227018195887765805041466346056988240095441070831776477477321283979593681141921765901129617206087456708188130713231009569586657273777169393800070845498120765988281973375573664040257687013962188538111329045997720520138429370621109147117417503251938090362644392722070412182108113640561377809412758600970121832605716184863745822556392480662183960396743668150260765731772925641644835285284538310838603425767812865063698851450375038683621830147416568453942558069788430627321293373966291173752094352945070760523513132426270038246389820995422526763102306636073178172870144150852029278589294129190005453683707350287767228334127242462597934524978321636619587180727340391886076248255645688430658183296124899789127587443461878905905273569109868482799952470698072316673186332120136145185477188442337844314086444564351146919884001197881462337552387382917626477231933510564733148633667695831994672787688238340879391179407748890536054942949818477374171929775167643146842950420224612184046327155976428164363
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,889-digit prime (198 intermediate primes).

Certified number2,889-digit prime
Certificatedownload
Certificate chainshow step 3 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057768584 --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":1100000009057768584},"decimal":true,"detail":2}}'