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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 #1100000007100334281 2,249 digits created 2024-05-23

Value

18355762473302425582838040228440477720526116777751381980153578094153135155430963907509639361232301097004115559568113071698784455778806034843977340973868386254311203541537233456131793372716475080508043411449256300603199655196786621364366349090079264647729036241497089487885713402912658916787834986391046657282877173407103320285025035496962862202640208535498469329187005429522934214010615019184973174495096678744152574848087398359155296563590526894374292318104921485177133237633307493853778101261132446230940502860264276227300770148098086318410551383092988293956563610733898502711482958286674140306028077330164376571519975961772323806926523171182251404775732669510497775464173494093586511785048962581803624436022865426464885412172287191374291833843324068217029878384045872112353263552458838987689928280060968002708699021513411227094739355816368880528879932491585345016546975144302192524339217335729903735857787973522689476358673445411842218706096046706713601617317770769795091929277705090068958733420991852892244233172605318414553031605597711838746055614984351412269083252731410327250072622505072302849266810398400162301928681684299569176949496248282835025922316086138852073059238967431634062348947451793608206045629975230377755679150265294456018975977980972814087646443870927619690021245489421865114723333882751188011615541089249228572684657443586313512005399321254321362083682127515034713961831836588256452786952789495368115011895090876526911693785957407831604444961906870536635789321934697702386117350180740990914413147026338963363630493987424854223448707760138652800556154647369311435313921686888054420572319231415746502415460719842493930726930896093985414974970813338085282983819934239124592368434555658432595362024757280058102550352253758010242362555292356425411292927905607966880481275730458653303795254130690722913697609595311254375340809424859226038798756618332305924316051701621559365376586370908831913425529352873209961287653629724199538679468657699380091951266191386740656575010240377228975162077347693816370079066339173578023476562442077048945695069099224052121338993221286914619660786215455961967898571860320007655291764364060009915340605726943195155763174803341535418479002106246585566108851580726450415015402643154125284512210853791519
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 3,454-digit prime (223 intermediate primes).

Certified number3,454-digit prime
Certificatedownload
Certificate chainshow step 83 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007100334281 --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":1100000007100334281},"decimal":true,"detail":2}}'