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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 #1100000004853977881 2,472 digits created 2023-10-24

Value

121407951246930461964552617350213706933471231565403953687755667889105697887370325285095214549951326371706644816193790164736931847260324457058318271414781236930701832146979426524095410769733015727630812361823635379968622406860661834800339061705839774334294934183960598425809291845609266431303691628306410282612947579151550419035919826458819028424231017851105202833325689923910167545171175769693991923877211240949201135850899345360082333763369654203602290466456115132682693333867895096660576851100970738389432144751857244474455807832423165095126738548260749730170193794993992150800681865721851825040500144115518525306231197978329964150325459471903789406076372650805674249477295569104310109026260044979909885238959220879122343193816618404497468769232781072446916870995951980730191482511112431090777164363296906068836163275665969986597555307285749230416250772080817421637927531443881648956871873737704190682253694410835020484173899426014260586404875644645622115330823041921938678092968585328671609454261798733988086156604806546484147362970464510059261058662604301007499671350213875976114884246235400217657178565865307330432734177989891899238720657530061265541681557406938071973379048431239807936516812369536515334385647432323817397619703196468576778997130176731816314767251894005463000883416404991254246427341028914909548205032329544239382326616251756795295831284399379910153248143039529126190443662633247864759971937144692625939575058011065404411021254272029839688001856791357141444300437077068701832838502095545709400765733328003716124154409863596710087659204316870652838364568716237728497730765391173654317896824813340903195013391667013981433491368084050589560446286283232797515601221069946748115191493032749027570966186681177191252999847769274149905730370378574419993946367673266045696460398794718843999408776742140263580641501802618403457672093742049378818719033393443388603551382575833968125429007845351603099438165327623229042493128158705475639811786819797077836027105909886770742757973441344438437976737373118622931648786846869732766432513842151037542965924475125687145801839026350545366242143608273485396230527909855674991188886039416562991194209534581551498045787481606160048981175872293713215549202696960440608080770585367466583592251924094042674474009199448929847548965509691263741734577532735999931047576882911391659352866089899775717778579952078943354736073181186157035857348112485498752404113269403646717038640110329379161671891272100687409782587910498841084177
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 3,095-digit prime (365 intermediate primes).

Certified number3,095-digit prime
Certificatedownload
Certificate chainshow step 72 of 365

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853977881 --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":1100000004853977881},"decimal":true,"detail":2}}'