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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 #1100000004851075761 3,079 digits created 2023-10-24

Value

4007098425830449724394778300752438843818803029761877897327237537607080908152969818275760647665805079885935851577661820652658504612328203024843808871442786472035563667396521063227959737971875289946788269898770851277783544370988759404662598772545999578367099201109934353364589737931523001622912756855175694815997462566721641246791645244223466816397519153131231549962154480292833578407443698038044699276919467758889392711384298026189005262828341420784787209151681903622041812034186730578891171420083739930241188450215066735332411498927678785262265768571943782220174147369403425952480214967719752391525622263353727839221129402673454104676917014064322273093944295338927101018528986042013066649381187551165163436205310570351390097414817549922756192998545902307997989723356015614810895094569083656804266237065233362400710397356062570954164514938352884234363826695972855006126705041510081808451976038602053308758856372884345544561164763577313719684350775817240503624785247195615943000780012131608751724809485354007018095276734034190236440691150836253849364646471400801224739136839944292294797536521970330973168233569099920602185071723864149470629151705450853745702475660616090357575167093440300712743887237980601887122576662499190136706427641838544099671127784255758545903327087230348344233363343264540024427502832234003566212407820598285454618309501788597417994912189354126587207751498383493698905657525130453487593048602694359418338481839685210760200259601290157118976447399759295735434425904849954444096641044277800401782343998302995993197051863074036471991710897466679847548445552147675941014139085365350018082887084379333519228839361896318464298343021489354557796232418367212881473127830296022531557765656246122771093266495018962136388827284696240234199803283603478523730881443978392279232706398579192489255571073366782917710388745721715987984922816133045910604577036198068831007724181918027964934088839450188296901692745531409302780772248477862599518951694135382504877374976341914940337881438570427439706492512993333357931699292033278938918947882951405081008105844507015011957726518937536280073748937395618498069784239153888717670898126088951889781644695612813826029311221519251610084951739126872470173168525011481152225682954321956541184240298701073601883145669631689998176677730946320827654116363532984905113515846586432034797166784457217012658067266909481532631518872414655101431837246401516938863274205969664769995494298654481419681362229762123598577487164071899473595509778214615049408745363965667620154333761663644340499429001095673381507005252551942081071762312309058840701724648014033427562762344906690242921601991545853901241625066262764693462050112235557747301494732145712671319990041088411147205569148703971331409857863781164252822273550417512327028345930314574284370172669648794215840193123208932865549804451503803538326388546159129424031681606128382990756120389390066920350153475417443710467710459873307405905742900528080770247169537678268144754880542366833743835604942565786464026961646326502712244776995838651304658745297959778853055855982666679907173425797111341969
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 3,208-digit prime (325 intermediate primes).

Certified number3,208-digit prime
Certificatedownload
Certificate chainshow step 13 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851075761 --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":1100000004851075761},"decimal":true,"detail":2}}'