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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 #1100000004922582319 1,474 digits created 2023-10-25

Value

2356291519433332971393108809310037178797814344442522474696278099811468246472468705412674552600471772363428076436434763407088577605106411221179298065688256458635430162894874271116840359395435456536593295022641335244007705451341776277944389405105309310874852278534868488111650209124530576082236762298342063762012679794506024536111854574670422457810805604623861848180245736942436753462209290948948631846445901652470498923368578113682836143965207232364754273791809183380122669114189472866696497248699335653440149739017308937995703264079155454185882757387057060874698535624175798239046032718230705060466954046284335911720498033470639766599007550335016630923134327604571222579196866999162931283421592747180377456545355614098483959016807565274059125311384805868177864124702686400113961512216328878303202715338586212116431097824559100585769008944863208070305148238604080422680657408737380020795516028852874983190301946925735117929087152798248358067208312675337244790069693291758500907182266843462324501691789096582252694603670846524994321413562606796806163100084825573652345296327840507415373236525616593110154629649015496720650190452146338972611012093847371298955053213107604479185524229940236744218468486291152651031335098317226584301462453058006022126022777404484224446012801660544732881784041515470124551914363002710546526429623601076432978365279355386589944970987402788531187153975254527076247089699786802762374140515912620043320794142230541904449594435803367948419528069109067
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 1,926-digit prime (222 intermediate primes).

Certified number1,926-digit prime
Certificatedownload
Certificate chainshow step 48 of 222

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004922582319 --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":1100000004922582319},"decimal":true,"detail":2}}'