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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 #1100000010589162663 2,874 digits created 2026-10-06

Value

534034992344958801206168714447515599806490677659998506112223042037125084193428255676690226383117848170874971075599120063479248201171138704149255045294977963352871763361651135813251034623353994280004972422451465208708370600821499146023452355899072178927324727349539994858505064820224878787175256584709291115991338816237830332769214234784687970643471263104902285020095383567807229649165084136677738829600509681885905234638435040779672507073748751709456174168457542998354872374401780391791864439511163329250842056921879047596449797416665755514610144709852297301115841608249685369800837377440567680940164563748643543453572974131534572633836036403117254668608416310860554003991138980048290113776893009522453977397323210356824801594032751894175066623811620313379614842840872839555912320451203981427658569305856225371960307009479468568073198050439087156189117223372160308293882784546257467490068458087494397772489018001326177327457737183589848191403294803907500593567356313997009973931837728254981374332611980523567425830320366197114489684337817763692796299070249668760573692944986208820531141566836593518823071840031263939459018566741186052658968277219110720554858167579607913385714599736402265205619826028389282777150966237849789792560958333650175039119186135842924368642862239461501619168574866408715533604961866919231019466373193451932574109218368276502331590404250721964502198703503981413655807684986077280663362518846204580716393525965573290810082622375317212373911439458951947049731993953335755218251429292955718701622181815129225734773356657764210101120574041878933324040404682299182988356041449309848135240957604598971463303510509755395053566890772442213147604586535974065582323015260627976955429682554095436638028742556007882955244701423078030110077334941151215285616846736428865167867805315976157076435426065402416486545854246215459539950828468792813884315683006030670277872422580367003207388905200587026965738322091270813614304478889726965272437104547923961257041965582155711791029201301884856094328105407198476912993435356324953451274179307945748259346312532504178379271674767846991000941880938283387174556552136579850849742578005954141226684832627257789392003462318433961593521609506125378027464631858550613768016861800875803872348116745903375907869815006647547768209655816207486148538926654897199400124455411115960224479187465488017251040806722473792828004303502414744430131173726385718092080398515242039626271604408343334805867272607986541281276159761069275523288853477727518017057406735795869804558921532989604633561052235186083469497256334525151088272394907733419621314326813205617228381557276220002392160377548846499688870030446432083303387516209649601690614661410847072261032349054897189244945545347298757512589730755669746910745014182825675765601850970603762551614470187278061504162105862167626964049645396966806404842207955735725226116446986114902472340010731
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 3,195-digit prime (326 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 32 of 326

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010589162663 --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":1100000010589162663},"decimal":true,"detail":2}}'