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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 #1100000003375758609 3,142 digits created 2022-05-01

Value

2614231494933815038913099731330354714156052893112140899815580544015269530713211906139916382834211815565197811287818696722994244649411798919231937689556302436577686616257233146091677290261588362868318395898892174788809700302140616725396710064320349715741639255090119623403060816685977040217234338582207725447426793901264060570909471137349840541754095831578071151251911710524397705134977867720652140095438043641379136219303680254682797340583317870635131140887249437391170764393957282957422910773247465920589201292324530059859705531436324681555043225488031613829774211298097726528291552848547510015862260249805576881370764126945775690810624467502657048611174710566477860165124744938146097433657227296398220323323410425316740734275042054979250453021384158350138371208690072580506760523345599710892561141070561023344421305204073242231506051859025564990417446647795634465721224456581743849820275471943191664880304550854631289828879894823746183340521233116193434268744814351419502622806417701868206036342304485722438811395797181750813620906681920429996026791484576875020021257811688820016604252760883261999069453455293841012914728624730360868999299182500782525634370125182107673657131245882469904870329716160678137968909217276861125851432760498781669655835307817063989168301935094668471748150212580733381710548568945004032181366756016904532663122784035307664161877832345231403271445758935778152810108440867136439206416198469129319655517910550895668298856075613692811558924463221775041337214320643720236554935763789048888857520532892250233587090673124646836429722790977921861313255693624906011962726977891284252988317573324781658097381265698350389848676068212018016781114581932745471697605350202169694483645863339151355429390841584475182076017098238829235505431303048083767391622036671855184747273309674016731508197496437595392695153123499848247879128087891669153643139117512039479158166965220319293553046562684772374901707492529022986162943025743546347365238857445042444925699189053451866494270435776529423094807554866151473824364848604743286125158743398783942143561354240848691035207788126902416744785583107518765508724415101368780750126223862236252859907882272225647635896014153461963000123484763798904694686760672172225459517310835956311834418176439825238258708362952364249084042634598509307042652395381480761992882232846569886471311806065165930774128961038870257849556877115950361021006152043506332752058784146567354203470555821971118155325838047707957536291248620499905321554068979432907912322630377986190124028270113158699864750163540753461919641546083150299791176851110520921021103718418709974629138557239598338252557927491743206436589614077463847228753507314215233072512824704105493348182891103070708853849812774608534724381366511873197779155861950032001586504027116310137647591168130498782358570626794372321890624752881728995030871392132174926317886033536598225369848477089142464801096781363054267582316374408051593785928894039097371658121496334817782237986267297224884052163765959341911835197978532055058362440080494802252064714815989279967518253982158961877209064739124124800159310216907436448709523525454564943047473425059901787971890001
term 249^1311-248
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Is factor of

Primality

N-1 primality proofproven prime

Proven by a Pocklington (N-1) test, base 7.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000003375758609 --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":1100000003375758609},"decimal":true,"detail":2}}'