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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 #1100000004813290489 5,989 digits created 2023-10-24

Value

48880253733025017623059395168469957235661783338806523917804208918252543873104732042270100620219345960335011975494643525961005169980536435302011630549997521543280966562258838215318005834956869254333407589945593075606585110823416339409547987485575120525706177310958988499482828477526287403884016918328244409550939294170623159919431763140482005618350285393597847734090094929072417286949765240865878933031499421604022519382488044206283317096537609144338485305945750349431398563556694532056187682492172590539882372546440626581193454995466844335519539817728644730072390025250719521628331565248460038486262532415055771153130548287113262681543664072633437953400379555585821545034789252434445069973405857727491439801245009813180070557790250905505161842393267233935336732878925474300661096844729224156292458064442499971803846985505060979995391442030498718230290290742995747613055832721394284411628994295501463887982940978105495837737232700977099066872586503058269719056256049980393645291074644508759198043853117990556068736078149385446657852991111058192444414572224596956573375528735980965832740363227309065385223382630165328904042389365489100886161334518540038535255020435839038156561221291804998071854865816092419803290174481734620327001701785061278680551901472465913557702745095808792764209659790930448555381291054867231210605202797523088540168658354313688459148335528186996486548225535553119939101900279694123853668409049043931882206713346484703894552142313790975724261241877763846734705916151742127398885770146940348227062250235159095317912510976225684949881848633096773732872803903325185233847694185445524948208926159338531727822430140331817922566537032064754474613489013638511845603771078277238116789456411230386061571833719446813100636856711745882958168973457429763012631378600641427407186886073727101302274141486554567022801886616680811419820741574346218541749675493653584267901587361462309882466786164766517542694069313521157854984259749521792089009823734798997980025350641165012746820286455876084050012811435661810570313373598173407792592026152321870275550197925689875540930967834094781026469599506171855107692463129163681976066777701771889760456369052810358710903256870525257224742287073427997874362747649778875910567177042417287887632349921732494863293302689417398175361244574732459741055790069698921010517776296164952868428345082677709792033001801061747423911059542590986220275811295242488917765874332105438738851328497820822489073058693762294608371250158226061241011298728456346779089151239736001314352055991917370398004596425848154675430125850766728857822139201914636544074128428479864481735565325162251005103911570504083460606620038814663300247462040584294041934857915798149853493151102791544559242965007211169579417959470529491345875968223045330723988253097712184597346922902133769426641115898975370647009223112238594901054529557133135518386594526152693517097271062982659085564904465988236486695886853594351175295389123313484704289470556102641867943605537478646451165121417837958608416691941433877271312455571181479382189323165126653401841842129594255319272741253185861653016101860007670056191313249363432243136954965483702453508075684905434241945606555596975274259491332988771999424525245995026347495097480211792328215200417741302809318096325399599478070472937729796414270641421031983698352639879526873328542471718588505947151714470730762755453356259274938437371079725656169121279069663104448388735904340731585484232322220422069596557039258770978939421036874104372572740830506574414754062979442092199590237940365327823848580250501960704814136133580294863260260646719811029447501341022723675559171327664330641849324502653962566865505786860293864034206632958225228968823631770203693663165664697579027447880924070039668558343848815747717367751543744626408605632443580677530338231595631351816422958113899043771219133293424734846467519332840214335297671032011090438223487271960455022863124733643301964247034737696675331616654862529622605717102407914936343400386373380796300514252856216464189428938357640584481600643416119301111194567201987345640837502634143100957971929640102347993669155403644440005120984381630448095755928536564728248514698477505531440871757101857443111524138119646201231842393207166878256988400155986709319825364466484917325495174362063071514810534271261735592142617955197284239673895131795426911362809024040653126020047340757775037109434226100198113623754320321195352514391708975904499564629622003900895535944884559518607453442279850941121329586097327080140652005817581411547755111480914685127895118490537875533757918849160238353204833553225173986304123306250907922358054414498636064587976845583834140229496558257738302638269015585256164516014785746352176604269785582486838287282714054012618338926671163195099200014024157956331540020721680034477685349803590166536987068479646954554692984549498189893435397194835382427989307722625480562416453229987265270556259943093715352754952148026088406048420130861119435172306083199409688802161338106353068927792975247500778207484647173847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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 80 of the certificate chain of a 6,885-digit prime (753 intermediate primes).

Certified number6,885-digit prime
Certificatedownload
Certificate chainshow step 80 of 753

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813290489 --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":1100000004813290489},"decimal":true,"detail":2}}'