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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 #1100000009080540365 2,190 digits created 2026-08-13

Value

106210819279997646038193510347203851739962245476052453317287468931137811141877532079940905842084492876388796735039139195757323143609258900730794148307875428315685520794343071597184347617738454355892350312500739411781239291010150172154986783844829896491117499537526343258519544425361159073812558866803425331458024716295491497872565905127871576502960409982809307003096807465905408314103801190184886152654958784462468074911633951535787747259622177558805101781263150979009405478337970257218856557619666754977774708396707917413686477306234541729966804318042637340188390303749318498911562668238384915793092697906744066016838355182023809649318410844731841923077047256799724701289945565148307557342130849379087785505981781294941353337673576511289701068430770062153516538400204501102548618930995644745392213854630434319659672632928069810028624960888544734144615710051816152437137397992901531320545152767655845297189983159441133282733083071794999136246318536748503249518717209522159258983070162315522408784958231480551433028063571267685657943106932286247210862833585071037285595702141051030767703376849272785306539908844220908873481166049456227423499044931583133589969388735218645839070450350639256220369412496350042287665475363884122505208308311315445816763144912789279915123678713975546686455111129714536843448109361318172677866102375166676587764606590718096462871842226069478703678215266307542545566817285948670391987354143744979373361388706474731139425272825383188781156097300517063274355984135814871147106237783952836393738272898425095271985120271449337661239510933773514865018074898765154365004219614453617810459310151891685281654351393631663766208857457102786201840119276703678503419670110767904548795691978368890315783575755321913141257040964646784016476602115977551893294946783352194848596272628977450473354966193135626842874683453647582424669248898011422358670000835045830719559602071318054862423652365740690367207563266753229305700542925963864963971369616023236949163221609132026643491318128512398180114720663299443799377635394000098252841444425505343797531930430192790180015548526100207925873716285439007377160115524627925980616291069043366983564141541876699310449051245443293529874658119
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 2,967-digit prime (224 intermediate primes).

Certified number2,967-digit prime
Certificatedownload
Certificate chainshow step 59 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080540365 --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":1100000009080540365},"decimal":true,"detail":2}}'