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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 #1100000004852134641 2,178 digits created 2023-10-24

Value

148695074571928015309946845319319622734529480566851794449617564381181604456240496863015781279453458466646357878065764199806788498671557988464726965592781003628970667616647670093446430046622436597283852902005862351253838142935033928825172098136039325081111492248571033743715782009025147528505644358428400362711693395083466971586540017354572214344427091902335833087689190197336549485817846752514619390685996505123686470846134142026845112715749377137462854087877124024889032543053037157839371996448110877349644174674739905001819055468398681053749560563140049147012468487859395730255961011792044533368433087586215327834819358292409469389532619423093390558003586102269232214500000398266905340887773856841929492526786166606190029200307240569437295907381003120552515805974436614764144464170875092496553152762460238250738651030313106394932465770560257700365440925068472943420679259482056105764550799003649269083025206030047942726355000165717537043189621707512578183682178617919462662598943684345287884585176683593038852912658553102060118061123475569625752905659166932948485370175862765653294116416517683678453067394984025323043218947635401784086328252960473650268053998395913946979430634754609513150682650376163644301364984973784604475298313055898244666481869153237055005255207371769310007850019823278028409230611782368715338704551850013125805582202489857349455803026899196370942079437680173141536662164028495726478420992529846253236699370302620368655802834805616772805173491492776798182613353042513805637264059925177818807114050445613137319771424987653867245453462204613472149441026997015034496112915815637687161600342595838706802344923378272008393811108203845132068747224735981038940796757896668917864578659312681985096414387165286610016801688312928913110561695724211551711458957946799671902175277858006365454951068900651231806842402032608614528542041938571977464574243105403786230028993917202049397367818940764420219232486151207440328634999655720781033667389980807103713512069420668416609868062577284012771185694103565247629649525399752089975993572805348134306495532361477251199359197298323168334250162999255983954899336720129672702878667999187142551307308367209597617421148462869517
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 98 of the certificate chain of a 3,175-digit prime (339 intermediate primes).

Certified number3,175-digit prime
Certificatedownload
Certificate chainshow step 98 of 339

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852134641 --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":1100000004852134641},"decimal":true,"detail":2}}'