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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 #1100000004851716158 2,256 digits created 2023-10-24

Value

432793284277872174437054487012427818497959483656290834628243324291542324395401011933576418778442523164447305261622305417271095746430377052715376831446150781751309809445247079156948574005450805378891535318372469645525160125233270858337095307592263676657887653257157110379812587427650508019928588656682164487518738445933222289659542558867318711875627614767394631119743598605560855788395197074964128000199528001588558747097830196701048043171768193072084380983408581461708657470965143950514147478954430539703413067811770645599920887481183611003817090901918273539599176360402300340860075412603886745117254531758010225934628693307107295841715572897688727934472123274576516928208066308714975895019619465231424015993936086435533026358314143332306755660486233591388975201825972791527939301181655383887102459098223079908869774821235497011599613905398239432327652707934483193846743228933791765101550138303470681225603246068242244515487214358196106833129434593003931730114537743720173193117012569152731091006015365299505602670561180884972706361846979879403260888861689506035534312480538844327708065233352488052519170603284692587553756373054308528487009004409743375483652736214739817492638677732438643245942327652088981259541200519532024771211197841833833769853619713314004946390141231326418027099948404716902274498980572238490191613541832465599003275660441100910879480707277587790798739460886291023274531504857040964475811247915897008594112908519899953403923574910344925136347542241103461126244032348110458992625492307850178363207233930672256255514994892294400647688320348018146463682409647931803164273850047073032617865364741335410229254677116276543959108202272463095680882960471028343014035157497238750681454298440065333691358216433652818311070276429399253635930604379718680928182206688254328585245942720296747910021789493251221788390951481231180897180326228567021882066592895602440562461279550873927310124796769329391623285547503647428687657321182617928476153784689424555063265376466950160865842603313721018412653761990980651500494847114787003815645877576710680596366801289222288163691296330427867133350701726277953179499018935740528678193752827689447726696521797904047850770496043301058216877507542798378665291336254195938087391334913094814792430913421037074592379
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 96 of the certificate chain of a 3,179-digit prime (345 intermediate primes).

Certified number3,179-digit prime
Certificatedownload
Certificate chainshow step 96 of 345

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851716158 --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":1100000004851716158},"decimal":true,"detail":2}}'