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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 #1100000009127304100 2,814 digits created 2026-09-01

Value

398120285390129084037166093962052333175888477376268035094417565661473985135649659834092078736452822294806236516997380520272561841534936125694513883894508773537679827007615805741831574918902910566579440192196539398385780684335347190106052136171644250202037884928456266119011830334062903811262627097725604548596886918796158410664098467148266040462442122274055798302986946038469732264806232080861161967897252258676594964290648633778278145305097912195034968665274194745719975135438116771076817520861310640766858810529482514749247592551905035697438433634013376771015409501162163707127319945152171110472598397660244343165392929520027965064952758439610512445897900455836148885440263019993333581679314470230551829735558330905052246518772430245022492332216094111991854076997518820360131891471838970067929374065611123452234374985523476727397066092635371943280889235241512985239361275972013444379784807414926632674490546792107101965540088182953557705666359439690708035104218137018153048668314999279291030136459143825312248260612022996544975030889975353480651694679485507703488974998105369918609196482713055824119171565472854179362435154240266909754609903358799293370608326790636082323147593621890135752944186621734225011671233970939326672356751866778366815237140896353023561785455788444130091923541333378120863456016427669275823553561814070325496150612369488883463456445902529149531744469126953735579215133598231964570826533851449734161411693971025645948734148090927560839616183828627172387370818876786888697977901397360247099931254569069121754967041245957203378851157190825673599624531087518113460336358146702394678594437283141267775457073324727713568306948057214227760212891634101460292469004924608406184827294080765968014645463252346895071681905625334857091775641568447781921407646314649486554939147060508540527021206685252977529140070570849280526154829697166731831961866400573482962786492383676661682780622627963446360655300170478770705740155684459058311041717107769177603342111533368906724377847635756246353277374671861311610157451157420762972426782050677101908288801071353854846057523470307265556342049664686214351260287124117943861245070296360044318823421937270718805544254903183758740369166710093643433084755982324483077020355674130569675301261355996217690508289639511966537376075152788472975147386137962407847483673307381290653917641694301824897113195431952323163851765361361434662834580622543933582945121858334620197470731135705196529460898498158013830490315937857467079997032501805991039302500359785518139927555344124621126801824707811567298578261121191762559958339722799841394761328929142250496834472416443202304356585245213427635566755967276799401659910450384833104665647705857438231949265744595305102459577938597456687035281103915250312799971922878064815690487242058704493701461232897905571910430712951868792811
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 3,105-digit prime (328 intermediate primes).

Certified number3,105-digit prime
Certificatedownload
Certificate chainshow step 31 of 328

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127304100 --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":1100000009127304100},"decimal":true,"detail":2}}'