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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 #1100000009071047550 2,440 digits created 2026-08-10

Value

3101221147368064343379877588097049801979285546809000556746781405555046493441863828914700177794807977470303822755713278079088020350565537090224549138408421928097295257118345535305444559662392695575661644903118534384579706003571451659773792602185798764681562771232559589759936263050077753238992563338857440854784548635802189655070199636971869775011158612131232899607242178277189633381265482760228934674576343384161613943939328220353670955453084468371949915285485628178057260351405101690166861966812275910916378749645171773637303204940006401891011951444552405789578150139177444557101330023266709697671514268100132760390381915243825514638516265991745786710636181408744589698410117481614496817497921193413925944302255749013892208295879676701040369804516497177314802236516742577497507554911034271835717882430691368669549109123126617397133581334653168726817611085529363459861449758191584409030069912482044087290088931484250243921850833653271532981546973626948584761751677906131021696352458888359933868922834953148766099528225942195279662452525590603277147685023138683338915412236761876987876842207328271068936585763845792005454377944770637298377949266433470772146698616683893998841014024744868195345318770039934282416587633176955789756377724142329207045684129804189825653519565009930261804238386641457455428785983191074658510403971020875252347682218172945606039533541447707866672893848924239349896772205795764519343172623353211230114899387391840860045054421747636065251814775531640632782828816285811727043017149057076829498363409242740339016200914154524915916146497841628861058208320739518268119576893312227272091589549338210722706539702809836060252969462967212888893411253572715195827382574278503268316375069039125721109682447348472150418448028100455702662131290715279304589374951142618966070294589750349124736949285077830355963921011054968590379116901017149492571777545624104839881539894788031650093692693279773596080123423814338341352201220333476647047307223846109476643412560811328479197175677988271758848006007571664323493609762616396954019870849363809924088671711027245201398880378211154989314416216273556697391190884802228600113664622091699374094473951481816194009695291945609870477390784765319545259138244366480193573230628924312994951418843619652117262276722441437124179733765152648182619975246746356861122545307307805244311536545840822209238257253816752255266202921019883782705643068639909388708719935647883530133574998526767113121400533
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 2,643-digit prime (201 intermediate primes).

Certified number2,643-digit prime
Certificatedownload
Certificate chainshow step 20 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009071047550 --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":1100000009071047550},"decimal":true,"detail":2}}'