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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 #1100000009053653682 2,099 digits created 2026-08-07

Value

23975819555223282604665801569576293758528591280151411745732672790871594570145737609699581645577421892794172070987005998877162220099282460569028034661351273683342219680014189439717262838121036165864035025311096995173994822424162939079239089150405190269372942593745216123125147006272239294910014386549982607566504629492397157231384503128847358164464590871430484237122042432150069059478505343025058877060845054633929145396224418081730483498045243640668740224289819395532002510257917375008099098984608412434954783821090080901576594179151453161713212220562138332260773426103919784367480845751240476298933697946682313729233421409495308546624865045722486303777922933950257393657756632859239366351131221246507456740219990898367246877866869565356114079660429544410832339055912303415798817493261869309616718433151492338525341611049701304686280004530344562063723087643222955555184195945609729361794826918692950818443235343700133423626751720335078159178682079594314682934767698845942761004252274337241387896884762984933037973966475427960625450856278854801889874159295539323585012734868526510668494689540071966147241058765539539834620003438863538605664535694471804351429454627241006555429700886552869639017198133500089705384998108881521621345688667665459683199591169749492829562350868584276788993361555499562502041436907894300648505620950425850385508851377353368714286081777685671474352848114222745486673546729470505340926291295826603727884323707609757997451557275940313917127678700709668078154812884598900624722998868237386562178803395630851408072227035444601064500987370005224179322959533684541798607310090601142145396073088175903742230830919395602038265866931315820955732704349051836813917852399791058405575524523993389282709357044633417719777010133021160528949162035407601088650247424233243309671538165789109342319510356103718168872986641043603135077945664564216316490095975292759726150899090820489636149399647503511616800171043828132412926433699607727800480861880414285156713664958303676751998752853266743202283788345120021050980608103821742685667721434976176918842240825274304034588383259325733004168472171
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,205-digit prime (169 intermediate primes).

Certified number2,205-digit prime
Certificatedownload
Certificate chainshow step 9 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053653682 --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":1100000009053653682},"decimal":true,"detail":2}}'