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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 #1100000008804738351 3,825 digits created 2026-05-13

Value

329933372634818387796387078833614495337722847056487326060952970153895867035728909204663352749913236356644663931397107751216266889899234196330759332518147619088127684439200732578000070710513504325057197713592706863779530980756966171946442838854036403399100757281197991100524612217244586866886267337319641839331556078400995853035829159604251528358692625261575582770776479440884495610023935070212128609444550483313744545034334377266526425295568111375161204537342906431200044845325753650898140038625361914243715184809523268451925411908754989431387820544295005453900745913322387070576320628134237807689302415701028711924771488387272876018490195911285348094729597694581252195759980374223816971925479936853130913466176234074712081337238299825505858108841927553548496335608106639071559044257742122424199021761329525521781399763862448646984950617615804803081988001099970305226468574744692415819715767694048762211051441902391036955730664251570353987947557165764378358267302312049659085333120070992219057267403093586284938696096219610125896643926540607351554766903544610682269842050004631711469018331718416883516658764761408292946711898589206461668937159927732973038238637720528856616860614410832451087579318782138018114230819920242504598065964694550647842788059985014853275403510065429739861776469156290779336549010717952025759094110507995446446622774163577923393713469460223703476306758519893105275316155009357018099747052529213376395334437972977477998993495562798440012375422484774819833483901141746579544867875735068287561505867741799800934026792572299072914363819851266950630962974380286720845035432977262320813644988342699046674903786454855196227636817190519280324585583125009728403311276720169963174428583958471204781893052661144384268351381018331373360208653485744994158668767683851368218448465455640104390472278724092763841936907192646117083542768384731722277065904770196236049661298745775288890271256840239411862398884958568690365596101931085129745328849882920387006754878217834399184900297008294082559459847697895851690485620036900366201043019064439630232316530646270432500111545876623242216107175404977105330838129781004987304221558908472045894009783161464347691896199577482327705836157140445822731595225720094797809382630597665427890844487251581636047514861468389494287976014928278671844122298258569614888846264505210897317388826261144054972282308462066277076547791772065943642525535816286611853970412378862827422406093992973037907927445705899980720169319334134558660751131164986306398446430610593284202215835081575798637846511595252022706106154836956918189560208013955763176454605391000711045932797780490687383331416958875634573488704200830051295198028882805380850459904132521712919592121307777485794582579553704496391733755440367582759954927492045133890672853579962866423516647412485946879776633516448349083333204830623045228268072269949090195341228310087313301968835462983856586684493420147124853394051698637864626713556044197328938426429551808729771662749625304412661096808501522965555289144457583944218425615508529653150243803765146077356684384375616254064319081944462618325476660363003219005634764876390285562871155517123547185289065952899122673837312365704707172331326254782951782996108405722969217020663916207712188993333353365377536833943747317677218625583180021463464519076615817501324452842011311716061628343410587661811398178924777702684212415275081793533376063230239356467666978205824036630034319093275794956883338637117090753049985116023007027599142479660241648031581042462258402082162758483549106471188457851608278906820534379200740546619290232357372596873099897664498229532678819877234517444363370817153487515642872873190500862518051575213743694028025558883893162786737826792455999304816921938451075653238827245939449057130733355621749568576574891184786657124883045611933606132886771790475723339475737347829
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 4,113-digit prime (250 intermediate primes).

Certified number4,113-digit prime
Certificatedownload
Certificate chainshow step 23 of 250

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008804738351 --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":1100000008804738351},"decimal":true,"detail":2}}'