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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 #1100000009080170159 1,940 digits created 2026-08-13

Value

18258188363878026620899183002626814515994596164076471872135068955457874268337070251869211039030551541981968806809057278567767874488221810190933190277190523699797769442404531090329568997259636935257414024873133573638513605987111067591791322092906931500352853835908140273267035093515970242930885495868857992294365010916919304990632163954886051472342121932552907562427649481061599895532470991390637833610041303959238459374249446967642160078328646266770918334223952477870142070774366818718751450651689915302607924571210377309834974660744368180720025887343285912791142741347854542812174129006469473028850948432013374035505393851787937559377880158186695160967453879172470446626116970759584208180233232556432970336128783129156496042481045557113238354359780820071809696362909578332607187099612721212811331858278803665777238204065384582967120687682869057307753434002023556083733926941671242625500297420882534969813644550610397140981418769320002791711196808028741647467586974537517452722280139345341220125463845519418755596493966099195295611806862882107547983813940055490623972278475771674901586488723499515794042835905942997861927749659034147126710280661137567320737998354780559269420714443238631588559648774631268961873004357300253826410088800154934898577001556701208111130545843782587498864316867264778138041219402616748181643463588424705914430977488818887111607553255981685437384746122759877476480541382886209163549704320851485475319190322450781909737272128655264615759774435550069783372777050437402245927633300476974641795068561886164676934179728177068998395713577156472635646682180157419965134866489336427682934597790389868370715739619914169217772776574795452065160388472505248246781414791476034533196280776144399982483740578146065349157872033828136400008170060102519857716544284323929322670291449034293051923394304868989952669980414565668355624645849863785782815451195204733015376884622138545936666259839158107484048040152391775939245378233337
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 2,172-digit prime (170 intermediate primes).

Certified number2,172-digit prime
Certificatedownload
Certificate chainshow step 20 of 170

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080170159 --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":1100000009080170159},"decimal":true,"detail":2}}'