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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 #1100000007106567163 2,421 digits created 2024-05-24

Value

190367623462117388346942568525210973741858727531961425786939167602833031838311704568236562219105754158096036537065494889204064953704788143846981669748979968607494639946060084065581228852328947602963964872087338265272663102241942483057652304656081623006153746497503680384760007342159743291479804828191425590657683590362896175757298746702136177053364251401042724006586168805924788154361405766263365285269738343174479470336008511144542807842677431473480012356543887839737290408656120195016331019112987860993386975054447631917657750002642703050783075236191613159744757330916960408130044073621970608593833320718149990933584257621448191661372666936479214712783772817120128967041256710792553613369083331086547519334405617266914088551043654863660207505192418051027468324437288790168913682899599624184444921571348798870771648322986082969876553364024576416455722462774887304720416744194913460367820641850731582194951781227268837526000356974947366318678871531180229136622138053887347754352911113880663815157465258138807991469392934156428636328338289814071914304194464170802048176462007536613637794836123633098590609677923498175240926487929855245099256292660738980847748514518740079614584109527287368494556430420406474041016612508075846589273936209258353848255661048362865494852823181015874156891363852977564475223007380008599640498683819967899632026368906734852175692123757946615724865273118543432764670626972738323304731000475925435913217535019020614256638746679347813314451367121287183588177346709106905791047147821126743047505473271515882755831423517108299842340629883668771287047971473104164264446718155696551445825841739940128892993764306290842720380257762672517887987279697471136596694943687208587178073683109270769721177202123654707212406247033555015470729078516022015107718749557153520354110857210799137708564769804359936614808496897332319181622847926489166425620852766721061705460722964398973827137550241270824227724369533979112715306812276420048693231789806732790247373518537866450268296188993092233686460317466047381407307531712672132699173632139442904404409448913677214497454804501050056805589495850956482102420625721054697846073925842876980598828468087574708350083749874210452804997788755664323938553248138230129819017897563880225593019561201324986105165076605351909061589136426453429212242223626881388553939404835646824623299281678795154945943682187803528358797205340045694862371016854052144259486579409284456633404583
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 3,625-digit prime (264 intermediate primes).

Certified number3,625-digit prime
Certificatedownload
Certificate chainshow step 90 of 264

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106567163 --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":1100000007106567163},"decimal":true,"detail":2}}'