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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 #1100000004851076166 2,899 digits created 2023-10-24

Value

7844968591132942346767413166876876609888689816566111875138602056006671801936481471944442116296240183725069695689419441233725426267414021001304654247003058544246629543039094996690376337684320058891480038394627356626804204256024284513522429919010179826022279239065751102348719795210684509777625390489268849026311429064356645000322907254738574529500922769406970304109227704633442269334013561203201590461837999085769379598134251108747206968682051810792096915396121743825267629885243093055381087061266063198412023755549642108951642000889925189511573957148938440078356804408378811486631288975408085558429709471008857724609962811380330390848423776693744665717096745814128573261209756079059706967435699744858289740399985518301382536225706076742421195852703781355429000557385285057220088143764778443123237032681484392536755934697074836285428821280616496472863773542614556400615520628876133590411145909025780700053300327763530644811224119754617370852049260926097381664478969471940986634322746993867849118548323490519044582614718449402206420334783970703954896790606744927071639982649369676647718243281634103118002863218714432630539807923973041932326454661108316889202105993324666876134602645453344432673921501554783586993944468243334034147661942235803625595612854297373671978281467548834084640139133013838100812325234873839728471368187102193075379562789342724855181749669776896641141129387178963099467010660056627294352313017156859804675200447664130725152518564473123291762720515386812597334092753598635973621473980990964571287582879531815526075261844334624957626106843762474111167582932993518569152384874453993060823434835454975669339569215582673654687782937353826092570699496114712020568757330062207502470871065841424326083539311421007768861426124517593750993298732000698059539095504942350683053338609586148492548193274590601415252885728337472388921414161839718351411824279469569072658933767228237805777531493505741725592294788271089877768425061336181324832807475006880234120052531155092062621601057028761647817920343386276153382275612052255492391101163176393664248410143001398021417324624618262372644623045283750634619623606951578198255874894369371678364730247575388910890628336671599837570232615046214890346726601876406308789205209911610091103967401554612637080051423848673195959791652516967980030407003746556779025893322635956783349692500339294520326345362610001086045786659766838923581692973396394289400502237442736570125790205286838266996528687665579095168924171786005041322520521869854624487871463284809657100461144570417579029870384297951112691734789113309761834380156797347220860922573480595325914503091918328385960020302748277619865081491254704933094174424030655713897194527559781259638151677914804098721666947603328473779779913507405780498266690850349830993156989393719683782359326789858140991943541404543213514829370638138008396520422315429981036794661132776170275515525623142058557429443395776257
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 3,208-digit prime (325 intermediate primes).

Certified number3,208-digit prime
Certificatedownload
Certificate chainshow step 30 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851076166 --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":1100000004851076166},"decimal":true,"detail":2}}'