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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 #1100000009116966210 2,784 digits created 2026-08-28

Value

344492073551610446086429502008664039057300039828066659455762745098063078045162003952203200998551468022420094556899428651268304893568993218800113487503639822166597819992359185163386013139340633998589252008831352947886850339122252172802676994773799144850177835919484071735876138203911762657758822057539770343799602680287918523745519203697340166953778875837564816622658874787487520026158190773429478268181366554073777304894048207779739538687005889522664177320804876550932769937749986352192523131172696379008140786875895637156404440563155355656967308017742524229086673969967079601521138647857558500971190474168024462223133354259547390365445832344685041731065974711004498092473770492030179222237692122532834638372407444185120355440397580612769420932658431865690247067402982689217014061618906964354058984669596862956949420717917650902257916361992945216985246260262212826499490546003507886006324204334449015565618232377736402947659718337099576147627905977814237844285837556998405512606933929834597076889382117210386764682238045780836211871855428042536629467410292953576752607649232793690017137510985713491151404351554162001493196728680324606423605896737048855557766611586586627274214918564187199388384215371690951029287897155955636320655072719799383799088296834862717875856103794385226303206217685344380051490632993141274792686093429780977590255421429993323163484585417084903055492997938416164792641557742163902782749627550245406754298103651031078228769238761000922520308469220065044052221566638930964016818514283907383200902379187942429679260470815359126677123581837621230558182290621515893315814183990877464423706257115909658931612968952950358539553925906581644877195941639027349053043363963821463643826579785945733319179191942018544934749597831504390843855960529042072021152206724017986968854788064250441466459646043072446871777420586110266522282747568935547844880120727488503581789413578020306121853127848581079085757336493139457670275893016838075773241032830514492393356313252128208146241685015671097945924878973969083828068536146690788857738140310475393593288323011842739369559531849576555207657888053785579411582631936940632492001884296233439195054093110502242529667226604790092353017066212346785553184561061974512264075562933884223302005944917603480230351343164115956827973346429995930213014168298952850844066742265678250673227086578450805202734872806542472180141252731743503501245174548881420149961179132147125074135739297710309056665104315016365826862439768560713777284355123732486855933929936250907093886493905727716222539510296027750853567076540626820117424679864026874355547187908096288983479511193880456410658861124998669916476667136502785107721141641337938189559177467561323848648798717152540737314722025909658360260191547487958711044845557057149636402073380287753612485577423
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 3,028-digit prime (226 intermediate primes).

Certified number3,028-digit prime
Certificatedownload
Certificate chainshow step 24 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009116966210 --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":1100000009116966210},"decimal":true,"detail":2}}'