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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 #1100000009126643691 3,072 digits created 2026-09-01

Value

611830051453482308237784272053036532453030532820277612091982637179185686776505790773685142321939036269088377148776086781603825905424677315306937654109101570626015624953695257751887065345466401913123855964469985256446526461405144684259844061362013757404256146147016814289293910241891871186245611314325262823255931262394846948662261604126669263838704918130927346121908136189028346945272491159119011071494852352504429900444642533304905572369156668309344796728551972659076369796858908425565759988348585349132814090439455624994223644848212248504400449898141031460427380430406863259117728496251460964336055985763174280722629003203920976029149981571274164800852174740428331806817745207840866963035840675098244167666571226878594112576832483972208852983435128690755232038584585120100071205097734699727832481728658334994049720675737954026874170220235342288173505556764705953488789961872998570486071268582072899502688927387272231483608206744975928332054335810250932014168432174397282604794687116031322515400070696759330920183126704422792488047578611290270048709108963124017271927106844477495481212725768202337776892415175444267595507386924739545811366707281283628664816234286370603802155284438242661502757055036289615956048027569339854526106544001460966788645675016686840228475731283607073895078997185003409683344589439830987362762486871572539998131042002968710071241395445060062738230931642884656635865153906467730308534298945543785034492135876582899516569092155137665879258176416124210420586993190440017550418206062626787392904560201563716783987704177512879910651361175641707708560020886474148289387973963892330015505762097592053255301515872814408656553690452178500044820665020003501336692176335814957492051782280281096665279467475767649472416382770682603268281323530745659277583479365253641096875949133357552497019592627072810055150480314396345647425782468909796936296155658436270694484496360008876067342078273594254033397854710962567644691521874975075244030990990221036525203376290057289022195725575956464423773828453618585359739916031335393398984599172242923116518173118164427079488249746981831776322176243902565818983824578656624699910358118351266413784691648372284956762176425808788161714426334738388638431196640688159212556123772570327236801078714548183157209780520422475536067741364578335011381479028417214488934621703786764782432388461286723321007735474623901019742070970250683641081433419781104602697378511759348884681214923933905334682145937581960888797541610287959527389210707998847590629383326699305207005832128202014175450231032107676786545996669843819145338212104920009176005600764192488934385145977943984938228391476220759660909936763953103490729238631338268682236507307582587864648330010363670596804923681970850721040449683507280658754781735128194307696184148254777879359768401702745823403401426843446858478582956457050929967543773156181431941561728686129462334956317987667206358449696858959214014722677308389201884736136237275705976687443177269326979011002711194475426431678626369589547769373993003026727366865081700766609616951305644441093153070642330164672830833
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 3,110-digit prime (313 intermediate primes).

Certified number3,110-digit prime
Certificatedownload
Certificate chainshow step 5 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009126643691 --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":1100000009126643691},"decimal":true,"detail":2}}'