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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 #1100000004857688539 2,208 digits created 2023-10-24

Value

157969598542992832090984480209265289474113780052523794362639539608588185297760216839258587141399539028601311276539319057278834114585178148017189476333654464856612516645676336652049757713285138291680363866467999622477104856591827937294064814885486689326904436368821502945133885037283173731370441072370830757909542247330670403474135598468493630799003054776538254460871136120873832208429966664851453047261785207587579136244574877915856293770493023168602233817300753477716632082454710360101278029095637346575783049548800023584204426563924610021604073516659965377525211682423686291006254035726796124540037812057651854947240255473887357016736803834607449652434082755572568916674691960221950497880599659187468997142100330845420296152399374037019703792999059695502394965527797515835052457916505668778336149624149371607596138134388797148178319398727476092972963953578028786842053706582774165531391621906172323768707371277699953462865802213825286554851605849934197186476146616711806284909448034108162446507304630488026614576383927918551850732702140127878274370414315502778122451534449998155287702963743914901612054361610035246769166254845988512732590639949117158077069667033186106603074973211098047199806412563585403433719584221834961040731438588980043122898774092522620693790206269390974924309849684167550299397079980839612545814855499981759874083502085499904276656932148341937899402406943721311858572436577897289394654290367476808084307273784315760506765172462075652367270441431184126382608450389320012916395494704781709305625691918883067344232980753921453895342304470428024691374749254189747015893905579470489729182969564085786623227574658337577515024086576136835143909722195943118754831493180525624220268844390563697348903717270123592354594119144867973178636863014186915119088453549693306742016689991068562429463626113310954714894735960843590299864533226398654686160721843915962935713581551795611636979423579831369263671137695888071596947081516362777650120708106166712638410612863067020693654500134795901604476101791323042032830092437659207375815539622215139822256702153530053897524266055230055177360832408517157130306370647769389403796971399588422130768465701565638557471972202408564477239697690683388584483472557
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 2,980-digit prime (329 intermediate primes).

Certified number2,980-digit prime
Certificatedownload
Certificate chainshow step 79 of 329

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857688539 --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":1100000004857688539},"decimal":true,"detail":2}}'