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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 #1100000010597897212 3,174 digits created 2026-10-06

Value

820999093882425051058360990263797882213861663670455315575579466346307313143179870400829523886639520587711711217390038585698859088000498706207680297238070216337384577825691875951132332726026595426098675072500725374361149521737275950121059477695574657099326330590627043577061581793949035175520882447464546615760193754916836051782261381201762687460666719837424743314533353570950768636884140251260950267086595137509599627274776591168509930260206138105045318147995782502306290725242663679827617906167105941124346048385470521192297369212871655528096703825337811839909438774545204583342455484183545143224343839945038130216239883051526257267753087076029489199640769445204314514221787058148859914598224623240996742867342467152802679772722582925162646711316404525875027997210303703201209809702360111053234473311215238188166511215902016304368643783159124170598257351233722892801751582518278733891571918016526069984904478951752120591361744634938628734010155712976940278862854425702193294354759669369013147883086929426390715202255767438696074544752148801616936854714463409329855996561018866360000271228982739509014058794968750528009894070806214415341890653628424607635284422361540064208703771095759719274565131984633458803087947684328291265289603172368245999570874921596870481239145586365799981259861086209412231721146311517484448821788691283558471740580934560611515395529725919751485291417389566821540680820148561316752539000832432515928624884473542510454743365016969323102713867922681744301692732804847656661774052552467597250493264529885758135951188873941927862910381155507239679880866621383757840940231457749849341201082567533663380408112323208918378962347437776266161627733499934567376468709700747272048273739601128753353346012559346505081122465306771126668553027811314610206970911155516506322281554713278411075675880080921934602089170744161773916822744792381635234408935395451966973208196866894795032182608955001233028915421798760748630044925114185820653731345066741481170454536593650276636827765630698799186349353442808678725870168428600666536752788625109835682378318456869863966288472356278095220960236886271961384740467663037430436695918114102037257849927099814720745572728353799998065865615841404307206262979034417008479702904164851159961943783535846390066968092306711451241379028417992345723713591760814976319503168678224764893202283550221146284867577182718169961790105359009065936147874066047085607964437889879380878620542645521981702987501265827836101486985204313013107299944055648945584396856397912529629276097094380786458016549578407957950886018000325793796065235241697026265093646539360932320145531708638536989573663739854841415968493900645341273570136856951558855737052462062446662191017775507789948472254586705642566528114900849659165991741008625711251384459880146277709613279438568619105769999927169171539233065467223574764752196986018731068010722925074278140481016590295933627236262274131988452341037330958133395750581609899934833353735326848324067107222887079818833814190663743757417102037091316069006836110735262974234065321681831117714998220568129107512602568051819023158090481635428557150567257988564631048533902420763890334455317162055656180345395053824978622653
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 3,195-digit prime (230 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 3 of 230

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597897212 --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":1100000010597897212},"decimal":true,"detail":2}}'