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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 #1100000007106567076 3,429 digits created 2024-05-24

Value

470864682024368915944776641230288671437572422421459143792874184935571335544364792951527802190623896099929439616827758473627276158215206404766170339515741669278945620448150549396109884137912091312328430387124260327816565336682956521744315658710765583321445598689846998615112103832385772457883522722772354756007190548453795143913902395345329306146909459748010017754787514717591286493850118728136434319783657366266052195209449145300531916951972164647373112071998052040439701181820147277373779376849662036407403992829511823485434423675379615548154205868091930203695242408166145015661207073775898227374726251013512263258258393845816534904735565578554788555289490229028545188272208631584056532903311263427338428709921424140458554956081957463993980743255181838704136316125435536936452641034723453327615061087084985199881293875507195981723186273197585242981887194849119023777644180613596429324304071690339125595625261711404554359581614035144564544081505712754493903780425094568593087452643356645656869063710349922720950834031077043202894786486111362984009132677058293968807706143193214174361441162840485428033420602157518141376566572107925993926791033583575012937306005056165715303875710554250355598009828312032485466464506892152133671317007110481801234143449777340798067400485640942179316860744585688679285285296670760468127868685869285721841925904611443419886484284217453309388114055190896649248548312350476368912067458809326948371414288659546345996533589469073820142374203116977938852168862465636103194896254906967646105825781806431769886490491129801188486312906991528440729390889619440089140276026060642580204463797625908360897291648895770136629006495715710429445580911944163255558939545583794508054490148676727722454020972461340787362502726036750820433494379943724661151141063062367963400540122189099124654175979434159591795206154083365145152333576028475946949625483897919878698562653774376580715651494644339383844524470513823784994893015501487913091754816282971172945656503274693671699970862494781877014217072490921870815645744992135178200262587357136052793659580088974131018011281352323193225401799246535600748927236230593466733004373960239516351442084105583679867835584376469675124658277583076711736944599045361237241549008762860526999635185675896575632042202206303452791740849179052098421232622508670575339787644960707692061801973821627621295853776635401345499377487304071496475117947786867267111559200970584426797277874475485421599389606659064229457053518276480031890606920795038167692295749400796008155280160851026855348527817876800438544999407247091851464207343979112472854375544004708653921751720353341978167878361518913226189199612015277541914867734740004864323210384693177641188080194071729626061920330132279717006334601114083967379120711995510027711490097736851312008195910415599625380461278480448010772837008959490345893904457151371745028542133458239328375033234164464083994115996265300976565315823254705145607085840740016515068488911915856805085656169129301714078732428100006923708533590733027191044336615046369223381532045761931973804534026747573624669720920458902322770796218249466523574636524812882263782818644026978047057874275551492302436586494007628164194291196230016496042023052162554770117554182791642796651701377885470604116055810976425535375000394628185534267593131127974176666759221734396873787808178809190209889426558084252611080690156227105451011139488367780419013609808819864972257669538465029891924437559
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 3,625-digit prime (264 intermediate primes).

Certified number3,625-digit prime
Certificatedownload
Certificate chainshow step 17 of 264

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106567076 --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":1100000007106567076},"decimal":true,"detail":2}}'