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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 #1100000007512648031 3,583 digits created 2024-10-09

Value

1101016650292024261027592396207623734760747403446308019393329030999967710466582727695678264258132367026538542198757194363315074597977162903560911067819865084449686707043910627981448433022830355136668561156827520302647726753286246464177115424942911233599713044676298647127916598549346792315486249443930739786330840538337840660364030122975150859583117250749152432671744538880193148204903831430911283842310642986635117493141127854941538031894904710379203738947914123335622328329592384546999531537562275864223673645293975974218224923027476220654835435904002066293557761637535706175541725519324763459171030034707073962208697561944015999210802429621350775179641164365351278366796157400970727705334870448267692247153777073760241973235861785308363067088770355198087631055416796561699429228211098046033676608114460694867428312636728475107226298972502691636915459610468973953305084767978342294266081067608456312952599127280019328568633783508988940334553617010857955298249530980548331588684580263426573652557628094454059112416254850409802844236113631454025239880306481055888666148897232975957306210356022402014923107699754547666608256771112755465976043648571758415902136382709766261598157846171677339594524482168048423690233768335169444035158783046106798208183586238730830336988095657203275588757007978087951221444474335860701252179654806956134129205708797160967974243240133118381890964139555000994090482758673382298482613430622693175394365481837162253721093752910135966241813077999178356809411815596599986747065277676195661579366044355207428704600088973891930343082415941037146645329691879944764104832928410622489423792336473764409307101266550166264041829244003042986346164808390177828335249217180151239744316591925254344220629875063969296713882970628648907647558350670465189333166626250085668805393963752047848189739737907181243083653478618865510973133649074907677582425684030419393859472950192768402895803922440375656359453398789839424221968502392365910009043329769756194848067078942147328065924436507068927625379132957976000036219214053611336691976039524222471814442927537339083268296602830765736121647351904145685215428913863456532338899561987785799128459549850573237060460302296796229495753339406691543501050938932067831967928531001560192612343280028364966955273626531295461645046556027728154487697963408327679164952973799275945384316074588099228978968700803820388232430210050765954911174202850182736921025445289488156439204664518214540883974459985558932324079982104461607849683894034679728890597153373284715240766989356125365459913175830407207347108021217881676692270147572929855406940868376991438843066810667259794967386827593238517630376813400321348794403375108288167284307036921520439553046941022961916660346681422738375597528160932401983911549018539517451189660944145414120078425343877342400327278867060056437720166197027631997231582533720252176747683321329653340553382195974336512209131488989769000688093566474959898376426593544843948473110719020903750789432669018476711677079763882755688963969659607402523134100472638363885669861839242064689368071545217477522561145930696363243290442350439360993788373587004872256222278677260285541720661933620826101096718956531651004527122947639493184037432266576239503122357252770563745467808818854298147235753999866587949816286861037149548048975945518999340700228352381329441496940215727916033453052664339290106759775851320733235507010939559367287191784389519976963007288508644162408798738152692030804940853353749035325823541212173773641886200860473218012385040454719486621779776892176122696423699110365597931651658628423659843451407870636229311
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 4,097-digit prime (243 intermediate primes).

Certified number4,097-digit prime
Certificatedownload
Certificate chainshow step 34 of 243

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007512648031 --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":1100000007512648031},"decimal":true,"detail":2}}'