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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 #1100000004897970434 1,988 digits created 2023-10-25

Value

20481671315786338385784292814931293489276986220479238803544816122072064137353182298134057129942118229073560498308325752755551797378274052560797174751853392344139279470989925198732085148459761550054139673675775495783442321219326657020631445054050179926529320197156796365793267476686246631427043951536608216936624852730386529440174684254327690197812782919032841025817864954650141534172337507868767015867664448988651512754137793053168147503814388872878900373684420093908869317077184543812380501795863276485601555146081370250816369561222887902842955998402112967121015967457899380041281362276291900275333940999011643706678046747649578998166308160829400377242997630046033193915883994627805162856950684873174084918920317486552157401687462536764977084356362320847695064769010752801673297367664206602648588359861948003895357909307189947418410708355636800226646585966596396189426892539838908543422762388531467574860368543725312927492262439867092710558133961117452939184502117763543756961721915457674709356160706887201656621816956791238478003859595895434063703072865041131266329950495923330980099722779109795440063717176703729049526841340979250283592687699484729099870306398284225127605305251078578780989657821015635923911652744868426795122045506784667638594622222689353524743243987864277244104465309572545891229689795341527959826030936482780004550238524608124714536418500663266520447610231451099501355870860379126449572754448925421018700459741468324979969637783967272185992851397881526825619677742172753415015689273662494900859251383678152483995377896981882519434104165725267852260159302770564160618543879017128717248532444833253656169610534607446249804210428599556479428377977256564336801656090381375192433429527748182711870426000981818290815924089489910989487817114255373759151479749036233831464396282635108647407515810990795098275580010580080498066213501603246917210856124842563614690774135246917259272175980915218588763295038028356312124216793090693640840901164881854077091400513275078621343079
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,103-digit prime (281 intermediate primes).

Certified number2,103-digit prime
Certificatedownload
Certificate chainshow step 15 of 281

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004897970434 --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":1100000004897970434},"decimal":true,"detail":2}}'