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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 #1100000008678588055 2,291 digits created 2026-03-11

Value

52161096482349568904495697476978569991991310027054669914967666443963053549327677639642116468375566367162051644602368547031328118786400084787554792286446856229979727993366897455831661262366340556364055779403680093080350313183504994893314673085895343056636540040639753033637756043914416943923963584317772051870270338616550632879449756362576951562642322900168842201746728574181175366677521924488064945268594014023973362882303889907892052690905984357741865627333686128542642360719937813911932879741700454417046422236895369219677135370581219703033695500675959441643564871604688344622324800628943339447520668375919246807323826318101659897796461600767270249734488471261280473570555129913961894321582062389614750754008598162214642398808649293784379534471010192154232300088700669086864704189659152800756351099677547772926825616071169267045871656184985973468001293821459256243298343049434566613017122546688740112948641067391334473172107949227511663970941533769823749549445542264388669447497754853193763107909672866005088326774769350680140355304885188941813664771184905436301292989699985762159655944379668742220476877197439163751963877813496605859492497964966471357372564524290308415912216190868175245402493902004791246113050924255692291710838136509937254013590923622689073888816290478702726051274353466680089351169839938104579376312651899544551434812487487685198684698224062922508836224152010649140458392878078808997803490860148441041042738455066722874508088120022071802225337854848873206081489194736504849443374493761878814998670232216527446871536316969665990891563945065433947344125756633416144236739151802048742931256960174800190915326944508425435419874792159539838912533684635286195834668120378624251195298198371800889883862910703600866314790747873233065249554596908734645285000288761147382980237842930185704957116108833531203557144360751810447993871114299538743066186478484297752381629694027972690516752701935137450234721547819501149957723715005586045917085796792977545194922069033645748728560763458795935271789041280155199519553174076749569036057896504091489834715509666221963832108790239726245967557550751325606486691395863554924226972849859328039557578505876222570180555523203552240030466582583675083764831066862307906802180477768213638307833234446787314075604826174254014581782779222621536353
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,398-digit prime (160 intermediate primes).

Certified number2,398-digit prime
Certificatedownload
Certificate chainshow step 7 of 160

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678588055 --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":1100000008678588055},"decimal":true,"detail":2}}'