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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 #1100000007222400838 2,327 digits created 2024-07-08

Value

32250472974633439650853223901910092490096583208982389030762141369372348971582132013199360742445865863054206846791553777909810279623199403637633392898386779901933661909733627111503328581415786802033773690241717181998986439175778038229662537574296882622631328633953765423907934833030582895632143961556814764193086640155010651374760205963921649690521910762405883401156189393534214619112755031062436581574778700099470006199323364647788103587077659487778893712527369740329083458278115583114432380857040842299479223791348971765515684743818596069354297013389207761801819896156126819575236868950313164359009429679105319669616883095708321788897508730609952509021775652954319949237806502146420932856791150982737366426948214353714772434619862018771070968914623873159416586659791963485226132778042369768543888804198105295941288812278717409296617975013972153414269733751425955251884651427806590658930888219286527487481033514817746984930842568650237521826744860439983013830526244536890134117239225518087287827411442039735886114979828414957251534408288718861007697031834561427538736209716353871817093518304249112135827686214840887192029617754917190081521174912066172904876292016427261836949974096265144507042058960450785469032342364777974196894223637892749515918001774459533360161603893273339748940358966774943462494935367893717054164601364199848571904665704275618234800255933275110687490996109177615210231885017382120856058803281908394857256995604636783031528354701811000318208884560536688970778302941687119185997495651430923090693670521075760878540766821226956283378876288400319209861016503715516908796230991557808736363099299447214277183249047873853919742604225742620542254217541368299976982547170788161778733568446581578490057867753474591241386658745956025536877510030903504090687570528416062743768513767726372846825859864661520058684159332773008476042812705222906364241632333053440280769549931886231414561740204947499380941806219393217038047925373162314458826655582846959054418530131965301440538355229017071678209860308212514309441187788970939311429739993989877246239514959229959119017823893102445974533649162056285197116095650718084314599050092801903902585210928285412165380320876406798399828858159247237189839261736324046452381398143658285123860026249154392983335566060164258896670765875774672643891483282214390855753216131809659328529
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 22 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400838 --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":1100000007222400838},"decimal":true,"detail":2}}'