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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 #1100000007047571253 3,002 digits created 2024-05-10

Value

12078475605852041080850556165630971297984763093983074359602671584722603875529606040179721181582131036766371397070027402470839678060810476651851868335234459860876657689944896031567745530036432884038908610095711613253291004518538546281515333231418529396073848053963220780800702686479973949900643038697385130492694723605201301181133373329210518144415409525457485355889954118023056075150292617963342309958217473432481394466802639082648089712725661590519446739426886437777594450547482474639827008970422579659633780297194334817340511285881791251854895038442910572920918534884400114157552549755757415684111519815315872725297941130479352892981418911793460099381747129236489166922472992268498519259528721354532037170844942023160067181009640194812759097730418912817318656213032647384596507204226816102066546123748428927380934325632053490637835220918696646131598321532824370490885706481672566229024685514539514261673962299954216808534647635867510417877093911304866786353209784465393515298366195312364554527866893743805358333054504973160043484889262314216117125253897695427345157355217560477713758092120765042036681857532854940190875172356501732274392523932754365842666583364536490059889594757153948264241715959796089778459450763449079831957887436941826682648161263550737853436443158056824298712678443938386502149232296017021756111874555741418083234749258186273502213995218518607798450094034124050147921885997307202962472219980414099298382825266852604699620954480112794745771710676304975889538165871633532338419790849604629493709133667991445802412665724595111625314205072159487689438503716858061409657224495376748454493973509045204994592829749426864944936215899169951809041084575419682113643007121404604796199861792363921859551801402859557524708471837391764504026444583682664651289787957152828844844895710545942404888612431763988935371740666718953854579085814646280756644859022695606607732575876247051443557027253919316392264634390332641091330957649557483572303729365158796886858683454502690973726036337878291291548558997033743460501624308284069474948496816156390003408730272197204207306835571972734198861661764961169835555209855897703773451843598373226617848934525168864182772035390185184681983437604398458799804412586806236658685064566007852223717519232856684969723704908464593845791194613885140598554499793934922506105742917865562405621572968734914146904202152980185776141345410403020006644463281803743615884500307088659258312882682028844592890904406113826531189048499633233574531529144820097253248255110865995088524827039528390229753593963395342578333917195036701880797725627078715523912361258188395635048853600512100712446005723169309551754273860598947734995150819470915955872341193410212709754394388204774755253060816681101247679534837012000495664823233435562378140123370593446032784416483700422992703219593687950677440060449865989979818848679110966278576472337654450841947692286680244259675740191566829383410526263779305763269209713233383645549939090258910973657495683516123513697306361129090083970242121241
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 3,402-digit prime (238 intermediate primes).

Certified number3,402-digit prime
Certificatedownload
Certificate chainshow step 29 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007047571253 --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":1100000007047571253},"decimal":true,"detail":2}}'