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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 #1100000009074182780 2,073 digits created 2026-08-11

Value

108686688306324721099770042922024853178013101875484289584964340447719438227392288684753963387756835249017744423722074847347670652107690508065620148194528102806535341140387140223460750069054179560076276064962292399572916456390463806772515574200365603578051099922537423681789322839726880437317957963047431369480400573416512861165452820575398344918627963053895255801311115763241677885069569219746733347728629838239376175217942753843919982367410193187976830737525993761667512166918216538344297095367818232766374693821187567741572810756730018163560073167111458900124708375631204126759151667799073353961803183330049916896045172985437493633395395342389240649489969213623602342598048462437161631901586799767432802025275343858629154618295104952853274741230379912011571844623781499575958404826418545026609918130615767233303822197150257383026600605249542724462984362187405523486459372341145168452636379815601646600000675381437011429911117054508042801148948666738655523202739158070584263212473483083887164191525820147769239675109183499389270993193739017081211446640955876800774131292947186937498233739204801588866904901650663637944936983807614724890415193716888885139351742298935937037572913625431656026244184391176056894474924129642824378966351964735687262620746663408630353562607828344250955899726531353586353090571718923025845071467811758472508360893616353615845557472432143595204178840731730690747115389826652465050896316275011870864989092870823056472891522664523308353805232918721104635980609681201316089514241959357378536816872596121437792141568998750506861752492235672929942834000936074336785900897629023118242175088618988739731721844581585409184580839602127361665189036413559866097082271296801300026851767199336528527715705692806917491767810784147464334442614416463260300070238227395805336408725111212796678363139798039868250825608118652556323777076139399958044084898720585969737584225637934846997707154483286866639153456387175361427629644864733239845081939368995462282585322218447278825766498500909718135408273241867479706323045414934588596578904434264221100120153612910111431
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,654-digit prime (200 intermediate primes).

Certified number2,654-digit prime
Certificatedownload
Certificate chainshow step 44 of 200

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009074182780 --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":1100000009074182780},"decimal":true,"detail":2}}'