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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 #1100000004857158616 2,666 digits created 2023-10-24

Value

27786691837076906672068766507628985398464295610505983925379058374518474540368906581204481888334423760558383002445279642951897819718610108012506610788744905995021492649736199997543903697021712432180700540617135369749411252620448586925659430846320031715662723208384298865089148647050414241924923145706344690446306881985226064018755769702934732059627562429256183013109617908024521729883455555722352932458340272365299582091559651601155066276743809771620938496024116705534975238001311076212002828500273287609910530908470336329331745089154707812372720584227799249046659482301898259704931476401400694177685679562932336956290120941308876684290580419835331534096972868011843809814793228522756267988109904273046382704545650333205244363688244709900276028679697775588558962511927185364676555409345080755802676950471363112906463452990743203865113933458435495261277270138374434561699937925375166730411957048333142597817010090028649992699940871803066499932441153231428833464805465467738392360161812622872342909984789947939247380784826346228505999237474505827280847060554207919644265443902957540418094347981013369260927101948336939334891487757755775788427685491546561749419680784082219359512812060432070853250781437229223699364528984151635324082784157698438607703154245966556136067100990787249367115510696434075270906166649651833335310390707546591605405221539201879012683231124951149509067990511999704097145482341871074749182941760165439898520370961637587549185805096412632992971874407842363037413253992092762952610858486940152321793840268453914647324718132130450579265438921831092533783463615093654168511335983908757190756641509078748003570050251155449447734201004491845237880179515556682532878614164188676582659974865946223388734047656331116618987246434287766090081839755654672794774181437276236802285856877084108323825936838276579325735396249366672052602933110791618495375325791245270267102845228975578991798933039821317266920379218338877266793386731281266950887333076761861680223767343975037077327771244939393416977507182487809226108954437014025225805797718639321924204907358189057767435294419893991471602026283244153172197161652405027609240566348278030712442772568990374100417867232444992622119882534263705641900710167819809693726082268766209358351306544724979751037725860111706893858888419129787940819841583253613371501400464802345619909659451757601020247259151289631407607583222157094662653621315047030521971782157896185058008947504669439544659754345243658515980464071469316472416697806060398915926789145240902097866389629705224561044189970013780952174087094168650820839684255942537899384465156629582588782644513391341640955800631870803586125405334045140136417142070406179899
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,997-digit prime (315 intermediate primes).

Certified number2,997-digit prime
Certificatedownload
Certificate chainshow step 33 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857158616 --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":1100000004857158616},"decimal":true,"detail":2}}'