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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 #1100000004918204489 1,920 digits created 2023-10-25

Value

346742902539190164189725906012076412627706907105098016947434797334616686256626698598248815700652528205934414665260123636411232807242738970782819350180511311620295339352645814476382506862293091563414066794337406866012992328293295550338112171000347017482563008381462096054528519232434226966483073885596426184969930224725649516496559974563473503932650727823211524993891594996793529137793571343291405401822810184270049322254987928132999810272406717612921876612430525059661618914994286284268646090077859403142231507143134767849867358610315285752458040355227890345442557275566224570233045132524267557629307307565572414070113691251560235848955533536566719227721943817241132046794413089747031073905823212567778919501716374249307548204730714776533372469770759293611857128910413970118946549820317507457446055690858571941432847985201017620773256800359703020492378392642140207214418208785152048948540381472345337106828416263840842947246197839146146718861117669371772574712715008233162326644948269430315883742304397082128746180571347405566865337855259822366209788391770440191873209526512936176590451377393926842336700731447699715202128077470582599167494866395978632582680386577122504534669033689150887825034280382951139766038727133443902605206501539601220461092140407314685797019777598458264300266753822106101540400635509045413178454071777655631781676836224781575964157160013913284705726777183931819375522848343331442201237760202431799553646340655265710080530080283034255348888783601238372278447181576649723244102175817109016931968068274214924106611189064264408008357793164763301495527302769486669631136213456685249103604179991325419344154710491274413787972366845916648425998838959815354304828688082539109486777346972403753683376981570780628264521318453900745602926864736570418162101431209431946064509668635485042990842684621688402859168096266277394665419357241461722048636078128582203780055216492130312136935092661886091867752575427
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 1,983-digit prime (159 intermediate primes).

Certified number1,983-digit prime
Certificatedownload
Certificate chainshow step 6 of 159

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004918204489 --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":1100000004918204489},"decimal":true,"detail":2}}'