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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 #1100000004853867958 2,433 digits created 2023-10-24

Value

171726398323745923362417333589219931857414172425949387510027414248995542674603517687628866401712617731531585544358372424301085854714755580600588624836358962784224743830909726344806199473953633044609348813081692390256405440189797255098153414160160848044802595294931110312981050035294771463641326357974125285590310577127117118382957017201539427132826930038782079663126385707209330829056067633095508585981630223074712012200012630470377714581664684100420966736798427806423825250314327187083116793902028657366460047032358487887112870075584137553345902082697985543915672107405301136792962165747510251616312027618126946302551796031582540421773906780232655673931529556657815289009360185338432290324707990693452933376347725473146655536360530072773284213957852490030462050944219333287042898393238710683042479939321815500944480397141739443680207406947484701527139422783086576129625921315121791473249511019659978069758715017798485895787596602434767450954880141642910994309971739692205003987009825915658213532437674359015200277095172497340479222749489664980864450392646200538673262680794798509415171571737948502290692451483735938083948186955092931056608624066776928762396761067973787575123183076041334842134993285689029479340092168469783273199901009412027542353387863868045076691461098503714924521554551704725360456873286989694216941204215997971372021954139661322621768542563319218544601103566407200133492931335990788192715543461575404287432795948501738921582099733547651694029448733844496185438164645401048988407358679058015083209624524698441226150026199425020116765971287346345498464042986972300284230174625975493642814728545302671217805511688049661443648977435251317449475596978791634224251466014907426554639782791660362799191238980560323853760479985542334087942142260049771909857880900739533081249443545821166719504724591674551752085259945085497987537890696428079810904823304031988688331669336195410925644414542181900560457803589484797384380507532144544945806838241415487508688691968753276068945471244469659142305033136904022263591528630775463820401206936438993674880857103505519576617718943418553364244247628069509338236848258329521985347287880933549168585414108116573911992256055029540321020220475226349167060762867816810924008583877084554860521844953541201729997381398080113772185404899330629985083427529678703137795557218263572599426653580105301305698540207831305029614101483909261981725967898357586971200993717238701822566997785268311819
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 48 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853867958 --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":1100000004853867958},"decimal":true,"detail":2}}'