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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 #1100000004894208721 2,052 digits created 2023-10-25

Value

217269795253596896862368474234817761074607572716662158551017098188412071782049097587758617932821731377535660196753178666159240440535568134510843331618628942516831244252003636507823135912407052822678558832497439301638212539437396171611805135712011884177817054761863728440098052983511603242327348830406212303112991056473573321541412185459639306311200267450201826699356946044230070277187144707614883908039775024655856746247666620662449896259140568487314123578580733845564492953231523604528709773761467679810004323495116018566862299058774426916045136690675298371570910561712230438039109738360251748750461380733703780785012355260218113296061673644119215107634171283151576903635962744226780485120530701794773740869968020329537914990490778093915596081328163941564844106052640253200423340150461543927421226487796671469541921773767433058923959150218223841006181388108818533382078075770064871133134864172554178264719982209973115310164578707046944482686290522741670328645706912619431481051445431452939412568796917735900823442413983286799752365683393337136171731763696325036763752558514705158000869725965385871518501215880082374183120783990708390625702371199395386644774104819939485315481229722633343770219676266641736693699937965611475441595974433301676848637495150062407655710165225811768577375539344497472633144334755530837509954411496144147369203955080990072027300597575834880332568638557359811293947455615848713048715806521464983548827423412390127206218503025468352650578394966898619088656133793524995994244029591083635984256804091955177359189071252932077867411564247300761155662541821485286155313576019895124109924125076219392222484516635552034969766285178282218584684379222205818070075505151737030807378471882946123604192691434580652974560719140418539368930713170068833166453059666559471477831675762764207286879269308248004341108348287298616188254129821229466289109042088312672504521413870506639667923076321335826679952871452126037238907115419616450885004779417573028095705499016975999662059321194007895903922787111723140413393862293905482766386031486977587
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,169-digit prime (313 intermediate primes).

Certified number2,169-digit prime
Certificatedownload
Certificate chainshow step 15 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004894208721 --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":1100000004894208721},"decimal":true,"detail":2}}'