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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 #1100000008684836452 2,694 digits created 2026-03-14

Value

470339603691098390442878958592897615565232646583433190593634140730222449663135722840267781374724020989486047311894742110414355334943852529714837062612702006532522440631927635653677535630644030350204485190120550076598393049480729905202078587958533332745675352373043925750548031894390170971853659107298542613066794443905754272583043582858097497142321013479651776052984758814370077559162312180001778581441518832079600705829175900418161253865788349091788065305525430285467864660053795916515542587289667995731683434183800456653538391837919074237585408371410688928745901620206112448090101567923130103619249788922001394910968442610983865549341631928393928428475887931133510658692142333570004505106659731192519121439275746684181966025833991522017780074463775337845617386599145888494632827757015037187609673627441191783867464428876701008778706032337517989449247222078953720195715636112178416520930348303996176682915699876454046273807393094956444320684265475761064415391656168119945145668939012524217354989129208408732805752850980503623209154322405634415849973443333305372605677695434925957152186931150477577400579077451980716667353865262770812847694257587241005415395353676645316701031965694318407173361020731152611586026095907797663173008143552901148373503204860768511124807365476784168621108951608645313230093111342126182586921677545787118112425794660291866593995659982117200296760888943500503380476791351407286218802479229572650525606911069031743190830647361584121144514325695870636838435150898864132005624838971696393036346232556617788197191571845374431030389784510992032418891069088431536120021201287414691786012497551175710426317212312392636298462469779329462150301833823447660784082340515318536112946052443099463911432394624228648503494358819825797154814715749713164675855198336685487373750930603225519997819518168147448863925274449325850675292265283047160006028692814627281035519896594277372841775988514175033826695974941735277306612487799944138347500609311288845468305472361671007318523367521487000319447348262665764897132830549486008059593497455731527776915911263938503581108140528013590468749709589415521932979020678926714876290411411224849714167916583350611648817067982229721214589932378740172913192388062525968819304774259474526692070587149278141945823192896334610275576469921709467495903054897235948961472170181876365919324522244869796577164024982088645000022769214373425559136549260094555746317752147378164971513752265630528266135163093948269278281909274860625753139002210484496477031466194033171519882517855480941629833612618109357436080647551283917002905602375166954996515301276831750817145438642560391168750606739471346584233013870894778911604791839568900380568891391540072381435849189
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,885-digit prime (223 intermediate primes).

Certified number2,885-digit prime
Certificatedownload
Certificate chainshow step 16 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008684836452 --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":1100000008684836452},"decimal":true,"detail":2}}'