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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 #1100000004857688262 2,306 digits created 2023-10-24

Value

54385123558201071698625860187897573152918245190544622111653969740488438016724267483530751996429512935579625562259364467403901370856238797565903218069955069083811087888199719197681522209041223580383343410005579211979414380227250040752658306700706288518573664950256202251202225741798407165792024649571611401833688749978599144357166787992422013555047694539573080471760912062008281253980958391692277875748017401598252650325714881527477955143278520176879193808471527939578100324903098624371935176904589847969096437271102581007679077864119324779685741450117991512636376920037689735969057709185145083452412257643988097476365829542850036009896255383575624153064080181721344366867190802141953069291067312385724867582051575350913387945897567643781678217733943527739523143617495052536068153006860532110891708646755839348290125850324457187382289188043960517774877662262083750765121869484090914023196949726542979764731450148181847522713488978767254330023904425322105353214063061061601708056809679733021522921965802771738460298101859109177711668009264141618315175613386405976229223548425522001744890779194294492228041020088811339742140176472055367287334582399723655878062071407198795926421458751168306296384261669478236815866418955326941313473177657003575164623165368484579741274601673014094670801193822071152620567174245490962679264947564501871409269077241008191020841801983748841902521469712759962087617613036903593891685700616687441006171619101504032137521597873290683078615807951576367944567877646611646437400575964278144376247178479217768350885559453227109017576181859982130390007173185106625497706841850802454199522429252336377134693475812157984704347619018523241106839625968125899500094015653164999872864686679783821722016636039514192919141431324081385705220937602378071195499457732278045491530133900949383468955330831497406912089682916816158388689447827377251453522799049077782618033639274016241518057008000090698451186885609548653229895107948091335486678592895538382945690838393361565719570542003479568034208464292504576800538969625371146391981349848266774059556084343837583362587286797497399803187903990240083043839282730763397163779202961334001704626968160219525881135931279280076584649357547416155125670407917609419731593299086753918558490357139499130861896846061239276745892982293629256306657540565327497399
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,980-digit prime (329 intermediate primes).

Certified number2,980-digit prime
Certificatedownload
Certificate chainshow step 67 of 329

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857688262 --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":1100000004857688262},"decimal":true,"detail":2}}'