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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 #1100000008549030944 1,935 digits created 2025-11-28

Value

381173172271607018556811348027908950747606371120083202396905123532289200759557194018083627518219445260588238757812858846992598387050769079724854063607969578717965860392810327082283089534522324623616460724846390107961895639693070554022313731578144468242027234791657801635073014826156862627254091832855058351052102528219514638418296423449169448435996944791960117610079216081875836996960961066257937961137407534422224669362872231804859087291035978030775247359688375239733141328605863389416623548216860058637342298191044322383527984575848891640334780223986050885062375557829768822628215774876202216557827190277343600739033541467176531744462406131187347042421345977642307244839504858779376882394474202867062607242822789576057440752927755816671872152142035593584669825935896105398338819672754747220249333879533518363115001518107468669522249343512508449933924147355689251991399771326605025861130692119197374448110108115626327472012298074770292102287107840157111620073543957918177911851365585357657870730406635122791203822697656891957300988167785263489843339778541073339375512407469425668540369909454536041751897087588595019307693187268566436068741933852497189463808265424493802712640640354395599505311959313950963766649719009296278769454341139056521976576688956577367207931807847168175526319798790343028194715519706739655131992348153366114571765373479456787577011225953142125245553341686505837285914504396217146950000517744241921999554311527150212715039338018945869212430549584202565912802877730647859499172297418131566607024011503552587133276654100593597221692109141239707096333015662814037906101861944634846668191839518788817555636225525029907536108778014481525338606905225076896408992002829094815421346606466734264357149306017519339614421099544971175498641734385709439314380966676522764112820007420358504448474351167903516408521586435084311953564895841433755569016847824399550009267315921821431544597140323717057996175193993605991028897009
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 2,044-digit prime (211 intermediate primes).

Certified number2,044-digit prime
Certificatedownload
Certificate chainshow step 12 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008549030944 --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":1100000008549030944},"decimal":true,"detail":2}}'