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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 #1100000004888857742 2,216 digits created 2023-10-25

Value

52301387100641544994345153336679361849139268163959149513422051978382159022056592809026118490352488314553099731848914117897816468955998487417273859230690432530713553744477841832064614176706898762261631011386003174901554307931489737761576028792040331057582157601334746600246173461721532673088916687547813057095816269679854031326739094196764713377870902727958008028279661486668715042417627834328404304250711085440444635082783536910352076357883178871398156347416810817644943548019758556106196833588403567286603964460380665805674230826536552594411022228062158376891339255563567651961444492800833869242653072625070574378195714848555695582387554546875123262308471259542153838251426443523467090334671942361307950425552567941330361110630696247565008087288985878617332401861342102659334418391390860438285684922390264733373265005324577673604184970122637867256762781486126294829956360459165219864322700235988861625259791773075695353780591591882055322458535594285683171701543833316409049944539752704470986030547254559166019158482936219272272810722323265534506196897759928853085746185625456337516400428900093024494882649666018998218409197155762170246775516852782612840227367774980103222909942898905739947562784052825091099691746121939193406454842040323183138705013723393786438530935738712536418091281245519612150357763766327585943322315099657416769084922365770991525652510114785004947907150141137886975362273324768421728394490180437278666380614945580503449869446155852334771359789852992670501594425426221607552386022987163598102491064702633868776087146108185430483401876528495703200570293487774049443238337987773856181269756521316255778902210130154497819213952925495798474353330155884412622690463700455172542884560887058606321792681208285954806662476119694215734355228809423640706494387698599008337444663368113300806157429438202972268353039455044956154091528309794488006437568525916004838698763432747225014744336767635316026318869356880185163705335082679133911760292098273892590823053400465507919742707353116082094976669630636246667827450234819345558293158296561152078251966711578626015219849869159635130916950643869365298884326892020004940098810990871719338130642390163136058657091667096723034042901514965438062415237196863479353
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,270-digit prime (261 intermediate primes).

Certified number2,270-digit prime
Certificatedownload
Certificate chainshow step 8 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888857742 --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":1100000004888857742},"decimal":true,"detail":2}}'