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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 #1100000009127304044 2,914 digits created 2026-09-01

Value

1163688351609530150345009291681146508556336464242282803848560467693578764908729838980743428245586117846159535998307726773889175177498389053668294125172759812826735977108139573732306444019369885855388074539507406739178503424806172152309382291727474564328639625829080032906119918079341309939581528886535046649946992966660957225710967566976187966452299872132015236931925766761098760949519028209861835968949220741594107088776314891807588328637796916778370004818348165055849904736775501876467042918045429045119762479686133475951152300284919650699480590032286362336149055256650210373817665711616769491978175103154717760639650667125516756968200696533917257766423319660675681455430431262284963220753789322142764324768126612580428918394659406242307131570312507159864268039977711570462753207409207025909209352327519945327756360942996431938042612890121029683528139084611159458179104973468804816249873639171106083125141647935706795553878417914092105061462442435185965182357828721068284544262997456731357447560828884797259095648193874739456326548498804290480275191694894352866553910090597382409826668833446531728689709700658250850452144340338535787545329484743758811644026694929454507904744885349156018979154804009903314456069151708595198379501887322517473771184909384942926174533856644221598459745884082312062057214446323465303612944925387749880180441748363566833877333561868230673996605038439227114288926726874400470410303206776258959422632763484376621665778048519779644469401124130951809421325811323072647705477617458693930067549725873967345973829707288021305139214667103987359521738234623297365138609167794079687568088134434429593011640016860074282906246112182028908658786280290065919077970992087678642255507312423819952512151093590845316441027487665638974952788263529630955685472998336297053791107220163278709961026173045308536569077008800975870790387272303155053110137783584041398524668380705167731543428105147737600804551411393234155849533387686362318554907312789061530608943047932027960247392683738805997914755666136242307164136713844517122789771960510287461452628475793872235791925486559208738198058852383790122528861926877394050337708874712841709604831153877409340651839308203394563869828412429943943163948899845626636601973015649893396047726626082186070563814487990869100243471583836390991988367451949869543829079973457666356135481967990875495243558659547775125153575719972739812873377074483403886030298876253853096393585851695258305830784246752661525285132441339101728292169881067081353857196284995343782364526348399005422163621590902586178929111490508973807938957702951824921689717442448639215948981848037148338981404328002521206253459355887249054790447714053874479877993350906877263518900490411908020068719690452218284107777398167669677093213653618174553314475702690207804676779159238508003492222197888903482307388557471180983350608806478999456295263928273433397144073802059966044067169869772019915848148312586109
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 3,105-digit prime (328 intermediate primes).

Certified number3,105-digit prime
Certificatedownload
Certificate chainshow step 22 of 328

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127304044 --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":1100000009127304044},"decimal":true,"detail":2}}'