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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 #1100000004864581637 2,368 digits created 2023-10-24

Value

2806581793502806665748642282414882525939415613447625170146747575069066694761225678950235738870009451878778858912366398030694232221594677125724992652590423625684689444117432163197360570294803046890866962490313706788522718481506179456188913901746943984739793901694699915523033917092264288193175963198270093813037704355608510014382255961937700322663260251279942082586105599419617249567107558952834939391782778048514494006248559505152733970529003285982286601701996207018637863987297824937225640252318688715080180095483352366317892701078008759292358002255366614682098530016672217202893932376662687106979117757072968112705340865474540834870524826421669405589996145260071920167000014450356385529987590533460306219395224063861553476759365198523897767638250415320254288409506605475469729065116740076223221707997202234060335163021662519769040841758386702934755567000074950655398144889410922645553877808542150593975809468462767202338933305799222911958519643424240449623129413147475050465136424112243228429207057691269864839834440520238817997231525996311408329926374064132109261746928834809723777056857851312729768907807767667720479577860249813853053790863807197557653099598982984547551823272836906307001904255228398341485953261650852173204319104425220523060188965309471670809655240559032627662513323636177644352683752466540580983765230361492476990397705163709264789565238137025515454435894015524103406973569008741298735867956741380125608688476154641598009480164048642215979295831320084126479397056299361256826578849435081563492471340356200869973485698235250927629175123137451838928950550937934146386181414755315081086733974327483829443109757705731406811153865884743014516936818890278369147903305481131100245843986124368394103128329481864485750367964472355209102293766902022179174547574750027975383087647424403272087726038014054397091625224700374254574570103508888079706009756786358216495926292366691093847802940700121015008180565713921072636568940543722274814679568715847374161525090942059024278574764949197270962748006515453832313552283196388157799127957325528464040078756765176897808493486812839224986873513700744291491157497039189644452823922934244863568792784223248345686697121428972438299705325144680058429421876126770730704184596238782012361169712439059872288125878341332682740624792533880103369690657531420100024300391743138284979097869231697518349120945265598222151747197
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,815-digit prime (319 intermediate primes).

Certified number2,815-digit prime
Certificatedownload
Certificate chainshow step 48 of 319

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864581637 --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":1100000004864581637},"decimal":true,"detail":2}}'