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 #1100000004813495369 5,699 digits created 2023-10-24

Value

12753803638171675270710777775056212713878036499850358717550747557273515724195308063214712952001991895755614758186456393302581525864653377772186464452594532262438354832462984217307295149681513652562785765671564029083906032188507789122843796901553807812232760918013534429727408683868417790032310441518391994467171578811601206100599723178980064247273127133031167091036720530274081499421291410363122062928215837955236169162810220522365573730928289267796172606056969665922506342994854496329561544801352306891614330306829750887534466042940404773794630171308833006315734329442177074961707412885281825659430816128033524386233426501046991158273566609145895768315413662802802867949406391485191129302355898886242118003614009636712800392790569539220509297256404528772523094791402664956959972481391491170224184669231718111516437239498369011221627273297776702545504847558110072863122874886043049253437190397307920809427330047636823653213939304894504584096674812750655801479502602671758805682193353325782016943017944089063595866510610124267266194137637440575450707075382639128159683779244803169985580901974433192811114903771304871177020150252946230997880135182699200477094247188783337864264366900939257807653670799235287219385099182856641711298610549487066647899086802467881956141898015183664162883380524998262889483557120387331979890399913274351207737296559040330927334008850075540752150159078984112585967171561820148181966726379385313018478314950435598375553536833049611450914903740537589734083344251579369820082755808668485764923061691567348933211440992606907860429160685663862605871092566126113026155228456950804560109341138484355608709692609086012702420214158214620574452482784354928651950021041170075118632790312071462857393780566315852120215661198580714001178047788563095374892324504990690745774870582820733431508263560711561970911979899908137199802490596722868326426929198906997337061943389959608176767549613188195108532822974582045001296786047465995149006874558495459682773619399221107027983781991897513789587489411464880275350118453493576099113586901417349797265780962490914649289008781082695848140550683548964764078377662428119588542749898657018990838148484922905239444789378641758931409867665799449664551802266365031748809021953203054555152378736706128818312818277667744397283379428283107509401797522131054806593933064862645649412446749204970621585349004366824811638551316175055131595699678985930925833434959362246560914861911465049795608867877566949967024779908487579044428179283459256918831398081977935834690193970702497679599437941998061120858897707646737443589657621603380011648489171225709589929193866116900394782937202184692961808710613786778131640050159258508199522263607668705226320284790188289545389979070892768425834163452000623588917666296812561663801461696070937639154812112948425320405521732333048050227230969348613763681599150230155372864526807940662683860444916729807787197596597272197778386345034910710115335225158270818043562866526895534984971026923816050310995496074959348296871400039498937566841270979747463840909928623018081873939298275983967582441966192235801114979080187271533402598208579220122231807107136205235234345520862252140910458437661796550146611496699910186523876525442752051639641588092090538437163371447972294506304663410292640705940771653758810384602395280959236266434726283693266182702233436264408711611363392113605155941922855825740465733360406183202877304306468704173587189132436583990323835443494418040956703164839144003765422910125307116369035285621056646714368680372916793735345754400533034034336676317979456861246315232051344671729932350709013882595154571539082294629107566153384247765340401552772281319171452573759723898839627421222353383009921585479705140129009099600540089275081548532085706841776012151823266517099231210136990041738508601629024091244917470254837543322682473167603922705714942086403978810400574372610873799538648742536565619958379189473572530868736970475723296829968690662683296947240114991858913957169003156612996931996764095480592464656791469493436442498992193018542623635862454900531835125001848128344310874911516840118531864059367940759419948631610864580877185841810830489828636354113617837088006599486466575839007529037411877152135008932912912680435918781049207886928408225699357455962990885744437077392321647653895076138455084262595513000941709745501594499520768027374183516176303096467953091231464660021797403083620280389236437833034702304776883055473683503285760577498071553656124901111406069580072131219977978588727243856683858769899183999935920100622002956325086911554577784290018537339277801888256591331699753408133331087098310131875687379274816951719699935867959149963449530005743116467642333993993938722838097303082252935207607692491943809222986034225555132713723585526588982487439825638037839045176124468677194891974207413984289261633420758686080489593379647621837357713967146079146319196590709208071395052789864522396704734645116427785561601010306423539033122993182309880253153731290650288810474153043616925778944010232222117898645092151983141751303856102084863913428950510977560687262982862964925544362057243741687697494700475260089133737267911644816642417106718859516874628232062663986080892047055746242462993049739669434568843212739170460253967423135582754997087128034775320225409207226278979895712751133891005483297586640467060367280686122456757820776822042832386435452452785545154794327830148238109472425640463638350450592941132296517996791106880215186051694275204335357192659748787776105704122348946825064297595469267689676178996444630469046189577129998286245248902997287762163078148843075942415425653260796339052802720593606684642924673041236638697456766700173935602728636998940589826995499550172844861823587092055012071
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 6,342-digit prime (652 intermediate primes).

Certified number6,342-digit prime
Certificatedownload
Certificate chainshow step 54 of 652

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813495369 --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":1100000004813495369},"decimal":true,"detail":2}}'