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 #1100000004831647753 2,242 digits created 2023-10-24

Value

1756114547565805819827123640440638406598144578761720163555103262602710877229824630449255998659238733542336477796102032747159511359632884142812458066568979920154759435845129486418636063841159165196893582143141837621460741944947983628948022556421208969503071566113799079875675383145399439095448920360078418743462503661209049762390178141954144732374995542341251269295986313190045469548255689499888430260879344196453687334466745591091821861035182083855842026806742874685471133101197873562241000879342863467096685778333156159209602004302321304552981840619103753721418734887170377003171767574102043163036718828509562563689005636157617685931047365193991310922633959501991640162779244352695704939247216350226112492806038440428736190173107180274970149133837543678881991340349054660112198664852248766821931775030216741297957266200950530076308757890741454609018717995035312323265748004480056364513062482199056454236986317497659083895790025110421580206721566545011075633603539244854528321715059207221957814287302185724590794901940849677804451152228198210105321933912387303938019069854759448591062115320921441071597522848540085146499446768483873659309225303045644089368748910629663424938716822654587761509212572134878678062477538989472003627450447973248964977730443605764135932240423659983167423756076051286844812952608614514823508452477331416470578563524063723743095752905051415135923840781048080809220822332169767327212649576413807671768101434664764858225274329286087405956983334611553429999210546397317028581227386643710402774388097824461464114895503049780732697395023147298913734123327382774041142356617594749755356068447558241537146275373887641783932217026131001862944397992109850573867323480697354276818929718581896072287527438248852631483629512185467721932127763125885579872053122230919310551753206127386836261346591955267146528131700421287491764502606766331458782839969245338122859527136141910342732324315437434759369561713861255352135969455294346415446473653706415108061751882613437184170159776808454643249998276859466163823188675139165874202737088309108490122706396195386659295710560887957272674275701050484610518676367757645966577240562840486077302208688277011823581009492539208935180589239936041731308533740689684629865558068884280487215042151
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 173 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 173 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831647753 --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":1100000004831647753},"decimal":true,"detail":2}}'