factordbrpc · fdb
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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 #1100000008647888455 5,202 digits created 2026-02-27

Value

712163899703720710326944882428890453002531337921630526960280294925812176005343438475742030133565758506231472557302677524055493013624181778005396990379424061341840741896463953183628654985627027404839738397122417563707938248476591254335583787933522977843305542777006824739141026971912195648529651468512932529018752377103116428157285121152918930501537663690723417305389342509108986506355086002357884828686920932797425237883264673668712039655510593685803974745536256378500452143922164258722288126774568964664899380886367683369994423425040831546444404458823923744259897201116393889482773971356689339351286283491634681698533769338419248213153865481181253987749246554602239053511456195667216068577570151541724996421228920407598110488458847439852462220400494097943950825295566808492264476014606479220106210658780671488743203772973754126436924757457042526245563545942963412350080751186629187450593978931515086543524132342111959838339572746087408981336180282853978697042348631466356714112837185679417805554881323063970263706810729832889921962672738763105406986275976950502392917736849429477287601973295201728797460771256815412907711996273667108590618743382183801500934922072404657224690817988902662874269607277947538330283958307831632424330668177081624338140044872981997027067115166351864779108078366401240461762684444052232801696315182634173209803363813795085829210923753011626367073633326460090985962609278828547740849918966976050290565996751368613582371077103918381103097141921974799312037920355553179448314104394976844012622335569222762108308746444954766065304438762569967010585449345092433967060542066630264207252571230617665694122582162930566183073842145980755425202254170420353815193394236472901260586701164391850746785410919289931557885561110528991587894816881444169005771469214916845991960535064176900666411238065466561074316406596932594707139763464325629168513399447420612473964012659796980341623503123180736369553065812282491907690906686898614021242515537969905121020479487535376943524710078218125078293373686783483611218395721665547666663950555781146842456517227062686595207680367412070701299362646743744645860364227529297438824068105550557885207790912154018073355094250527119854475288442146314254698780572859189582702946848648376153588471564526787831280466055465757387310109494109722959316205978292487704538048931334147977058144023252783002810372373438594649973108521245327018706981748373753468772093248381566277467478390129490244306073715279243188737967922474583068766726749509766125076680137603275397008037841706552706853569415296517332579646285391607496396046670216706769300943966817407111603672026326630734442234682357685607738864237147141177044409937081657197987398251780289752927227393398590734646200647877899584327580940441431462998435673046109479224378571470476955369836893702923890961613389753257868013353334019449647636266729755258704521141096549649362052166534545047678316430779877453684444353615775286360178526670988091676109651617672572920362926662746501852073820817846995604079888168672958044805362290776762837677185675663919776926945869144047067824941256829459456598318341907883611926571235031377753336384789490209921723917703130088213198060585831636841909310882091911783130624084538949171074323258109733837334170202543666514461298966208587067742907958320317637104611871802426755255579347958931241110441258991545610708056947446250476699010299713556316306375382411423307419333238130729903698746045669722401798302900065247740991736611109414725649458075960938966370092703836677924660137527535103964531427141570564954847121157435171670978560302547388498356977005228799238482834672929841834727815237673197928009793656519679171158801940424944358407818112184766695112474453170695897721534068624831457598544080269752260084813291377710467007185150914400710737899351286471721317213637301614166409841667695136195684003792494245248851079418202660584356616693896874406041470104146598066799014047110982569875372798032114309597135799087022877918678901714860507776857830152467797499300660408612405520136610968213164437968819722352450107300865684935908273066742382963106964255380069889702867739873880886270893426513478352167868859769601362379090970219911127173125013356180613747685442635372377680074281741354394720859395057286002495430337206061403178049457489266015356963402641355097666009488674183715395563551083885134930675485906343367265475838306310967379337899073494178944500326756926807592368842237269456535778140896195779445465287661967346019594675759254119274581297020306559070848484959700205872513477984456455549227497646860601493327782602143629375692280756767970310262916264891497046342044081539621951924222969390672674120491541517974102016662363948347794305974518462350662473514054373425833710310821196338331643270107344372945967561177219260175873249598474721869126216052480801320830706674408357060285827181939444514230058112775213665070170895347456856998754499911623103147575592770720858882526131249827752836499763659140794322429572023248407046498721896140316809193483678336765353252844923781324152053638751918437941968461964329362951912352792911879590272675588892897817170940147196674370742844812708251603332025424086013902069573789189037050456496969216721200221130579384929745562739405661
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 5,688-digit prime (357 intermediate primes).

Certified number5,688-digit prime
Certificatedownload
Certificate chainshow step 32 of 357

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008647888455 --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":1100000008647888455},"decimal":true,"detail":2}}'