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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 #1100000007106567110 3,068 digits created 2024-05-24

Value

39115883923455088424391045044005783592161806906627173588246616577696576634477230186393042950344658979378506920268197112136634183916976682772354832388652687503838131071682884732711567290688448894429935407277030060742929247434146975616117155236967406281510262328031122154633872394995423675295424868765584336600582416969578641542143972517104209886944045680248266234566642680262384427120901090335342601576682737335426362365622483854363008930846166341429045009631649420145924455178011509347224384571439122543915662480136694532961820961211537647786315848652308573706282508865607474061766717404731100091178721676585775993655856892975141195942560823385055083612611787732984825609239156403652367410364907443274260028812500441482767600001753344946091958368345705596702168654727804403237166785525837540310010362194106511005662594302068152415965489173319933263154409023780385098777059430016640028910244783285694169913197852221569531740445945918436244309882036498918660491127192466202535410025712796256765050261209749550217807712740179808833555751699898640446014769302640980792116099064393355613064636745917475214678093388872285121534771945692621387658917606080429795856178075585038348807328314168523503975922301561054145695489756313885110994345770867016442296492187819956364444638587045718269145576073366716438565416393350584121945165884766030133151838959681385711654818631113106810721314475541980569869306683285882840623202344603708206611454366082908696197952945782488619892014124973591153235031712480727541885385696074781525321412514894318428922497206951387296623105392030088014109886161311384267721046579013319944331937461611690198337737895186585343809224064286644408068637615039845920308666729664732519430044777273038385929806175256045447521937400908928964462579557035431730434315354638757041788100550824788589969528929135894528900948375818937681234041248366664121913357498104143400758594250301324148201393448592688896563177478751597882698036846422021100546705584719657113915454252880462681363964157090148856851060694066246833525377901025461808522519988107285134871044983852848401019772238809123120333753500611178801429734430498002534380233684719285217286492262430502579118680848611957903893113748801736178776754158439080554508572534583469948404754301905916900803694014030463862520884859493377011210004024129216184551453105985444254015759606682917769781057938642403149967918914568505748783271204892865198355585355097541746654521291656872630074079557036450009592591783417546056713946771414767002517971253005988819561369869738181550596058417042113570282890483007281797211740713773992577397632190319840463651932001450425406996961037670817984676310127757437499006971600435265289824250373634494913141761487026322642218484037913374982690633570194960794593614183012051357471503192986109977635425997032363423393992460260964665633628751154809444099813280523514086840883258550786036097070434107438422439927728882602024281587225485106191031275102437189791993898444558330114086610627408469635270018449717155750910416370729986851368857479991386182671735618308810378205643394840880208785321
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 3,625-digit prime (264 intermediate primes).

Certified number3,625-digit prime
Certificatedownload
Certificate chainshow step 45 of 264

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106567110 --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":1100000007106567110},"decimal":true,"detail":2}}'