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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 #1100000005812658361 2,056 digits created 2024-01-27

Value

2605823852351740034865331366854280279996758487172810159807416995859167110707290272574641449965723809039335409484499289302292977358511270495058177557966149423656574692478819858728156501027334526381213906583467975181829964902228474167579766289303789166684957712964849468419261195816632217536471850236460898557124709675886575840196589921212461545726817868629826287344312847651344675162301494569316652124268597882115000583827006043150742787178856744718832806625786346957182411550134220264641833548054584609095329316877355638558623128824659078097553771072374687964753798197038009077513556384345148295387622698152317286800215831625853942239127024953152783548718148566693267290010673665585924188948833905619814964992088945415288995132404161790463715625058171721353141675028826230369075132211777949177274529063080724411867086296155740458312593635187705754465888973124044972393122367727347374189288365269949158311205358512554573163954607575883563707239234253935870605840706100417969254825531690045442314451719271229298618612113465647815201881946043512386280633455264360003795166303794526412886262887936063692791649937344151266628175533743361198620404243188503772584545159343833947798490309702461213599065351153908459511073780603792777653387548074388590695725309790626386136842589623940575701892938743327000823820814699201646577666151771120336453560612678740033790122861844541112091586636401601501552994951815837027850536356987323423388612368642167273798228203240905852050518034178628655873425888390294617871963910471526789377062825678459432082053211205632721557457006848819659502131080314689252250237374114974609085425012256745965032355149119008214538843460514426697302960988483086399314823051277630356763334360534515292490232642568847191507019486833889154620453534717490720628619537789147794156388914930249524539402195961050639591163894238164787971087329610540052067447016103322959518687647435829720078637826705213234078785812102847522031496000335837580441035030053754630881200748391404998729516277345022306328218163265141565385110113606089206623606682348890436577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 3,246-digit prime (164 intermediate primes).

Certified number3,246-digit prime
Certificatedownload
Certificate chainshow step 71 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005812658361 --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":1100000005812658361},"decimal":true,"detail":2}}'