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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 #1100000008684836531 2,006 digits created 2026-03-14

Value

18005379798906039475151108761231415353027835016275491029072917713604124976200151518514757802268897866044409997240378695102033676885476205525610441568570027871877575490480782508306752944707400423776185921148931922076771682599398301697890035803454828840768628337728510331252969954813198543849023586457776548066054859496047120384095136852183902200031050963006384279524840984093995338090723667264289476389375614429556360694159927686822219276294466916449346190014695074299292929286159678314170342631916285941813241320122145778709981387392926647865196543718257991066299995363751760970258212038598304877882186512104373596317823976470028139552663308234674204710207515487783772717525324338460259418441424100461689652195074584110577575764086652493926411531850964369842412725959854346623350083316955908577792034648003459252067155073799873994745725476405075891645493714716139880376654546122750245561741735178841692843144350118333994982882962122530396215952228492081574866527087932757068478061521821822965495896506524496088979713253977776619362091365124246923101492167919396324257116211437989225005439345293644794096656899225623511510722944077842935883687081283718006725550958332675625939963960503616494610012280393398745277524396940727800257936605404278240343785850183308693259282008898100506409695188606781569591615313509930474332965048195052032836326561643310828734397505724352538416892704441716594576788690029713936268465353966571832560287782705342241848180418231805847683824315192844039897687737351942708014072030242656483975205743279355680111356451426391935899477283585072350207369445593098802735244730119238601027633542138043215877591846847267700113841231338397455215665853755012922064330184060595117331063920240347564927376708729988909734360483355614079867169777590069686098657426862204447825331145544566618224294284876254310287885811361658739244980593546587370327990831221161378657176090572903843465120688078112899739778528490548921613897979339781305798144397839560314138327217418107226442995408101234285718583
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,885-digit prime (223 intermediate primes).

Certified number2,885-digit prime
Certificatedownload
Certificate chainshow step 67 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008684836531 --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":1100000008684836531},"decimal":true,"detail":2}}'