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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 #1100000004917632040 1,924 digits created 2023-10-25

Value

3431118466421855333176021327940569186486359524852116274739366279090088543786449647498207488085043343716879002433006012679489394295076860687277158593195935806299511550719933042682353231785587983909585303215702045404651212771264110023978786256639573066130542636959304988959095189007700451406793141322055646595041919232258974285365066025702810849585846523825849465365944938293026660655629761221872931181688314084466159098514478815232153224208660067519482734610887572941176395564948983048890151565120546053000403681745760679642175095402388371096036804478354106711796881574918908943711641558117436487859522438369216578658466968268983673351438002622159999678913533703131625049923528873220633198342776421588726500551671570415119816244566735578477156081298623908363900800096807930969663666822955279307969209554821124868266469576992920954504325952548533687837957901862304595138799714255426211562076171883763390652745377406045961409903376306127204168633563460006540800999001739419716350938325246892198359519973093265735370864272653933538330965044968504146022345218851595053306928910636254425304709351865555042376086562322988547234624677611054699309154696023913447016705052612796347616817502319662475785949560193516332765510312946670475025375958604996232150677506500097608153541228743726247707944012171159032488441582901923323595390785902472602727513974715396709507725089938580099711605647959438031452553233434325320837781528055620364957154873945601183424312670698847074431085842337963508811864777227170031351605773388152339261888587615132651434599234830520776773964155052027945336578864050008566791364040504366193665697648507258870392901754198587956556123970733212119539553451241508222204775609598402653025655430608632208430871220874336659263643088844775617437533737348870380253369209037499391640724816026469794961207358798192098884240932182705477954847668876913125488145894778841090818631565431277368755943294080535020092476301439069
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 1,979-digit prime (221 intermediate primes).

Certified number1,979-digit prime
Certificatedownload
Certificate chainshow step 7 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004917632040 --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":1100000004917632040},"decimal":true,"detail":2}}'