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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 #1100000009071047607 2,093 digits created 2026-08-10

Value

19751431785347961563884427722689419021548598999794796442602241369356143242643721275045922040101141142654403897039701792640449664914013972028500290884222046738921720234851193293501905155101618996011851510214189416281040077996175738969415331527961022385262781563469707886202266351379516693171652199565498234713111074902281476476565663742520524466502217293774307370769355474197369455696813668385086354159451208312752484587570219599491859101061449253942299811750608166404572235483493346014915541472761439870593525772973561080413824724071675774189147282607590375158222749174201091200097014816144163359415356099936976341569171024902484188428653498836618088546078603932040168347417373142898485689352512081358123247023731573126409416807302467429288068020824162204217279990787843174224489288640195034338651299502165281317911248761761136186506478034057693908922913039692592854018100903265251005044768009162396551912183368438211135070764689387845863530038671158541426285068861135494852023881852958975536204384355264513331776953642109982050524707326299330456891862603998477943817217543271701281307359708565115095497767876396045470208766803695755280611017555163851323001130870621852588818799928600844975135982196320899928513185097288117616525955157094492128270988514657224206466700610796863284444468239065629121017260854555062936405859506438250033757546406883229048694762340114523676861738590844200357154881311290604565019185023378170679128787137664943032465411395519883194545178734228799434171562415157414339790586441231356564542104730113072344189945137507410135234754006100477226954552089679296774165251149203747365472779725991987137908821155320965736304128715911309015837715136341075777914149580648860014701021141589866642126428035619446264586803513749510810465531560274909911642926730320343156790224409702394434493730681803068748302830975289877964182597549241360367973102225203685850911778406535457122407841251764544033828565393752744115280295888620277267147814670919328826212055124089272405073357994401294352547971681085051311578207854301881313610268014607434122750811857040585486941940837144030901589
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,643-digit prime (201 intermediate primes).

Certified number2,643-digit prime
Certificatedownload
Certificate chainshow step 47 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009071047607 --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":1100000009071047607},"decimal":true,"detail":2}}'