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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 #1100000004870655161 2,333 digits created 2023-10-25

Value

58721343742903426238360221024378889965787271269136057145451764312519015750732225128683277985484745004621532663738935060706022775424639467874050827402308763191148687653096263590785707735978999598249764914479914648123030499920816341522803473323188707439742957529127197722381230388249192465520602216830110892673836589463500051027723395712691998031662732091964604349633920641992868380504835910317822427437114670550255569514839876583485604351214338122026951495960893513185136651033594755271320099799809185846473548812895107371138211368440693438134616599198895383201621031422476345300826640540177649017936819152010083921465932291834078986003998095231344163561809116281304593990795341333897641513877775616686191057513592521348097720444654830030242869327742262783533384002682575102199060699405157406294832674519041388611430005118414312270915414918123676637132279480540268048294912123685327350795260760720250136920647826782206254608766034518267600858171613755351918017551932269971657382799268984713655947283895121482518856599852382768571364120294868762407104154138169549037543571336327235788345412483340493418850963242520369524110399791856195269969584127992901494788998365778853678084846085917070590277891031788362709545959554833590157197917593966347632586587860817746608335589819822594990852761370322537442509984844547994698764655665776402272702900433293992408919127319813557985673450725906385502777464322346395897442184761056383293293925339056379955446846178203001520557200269068965493953755426412696441701111594216517692372456494812544726857629010917368753579681538490518152622441515525138998625243644822287761362965305548034880526861104775821704382813352969454509223503390519051080300612384160796271098106066072289268392960944451679869186743521530806622327956646413041548441959557699486021427493708591350203372026477805532852641752991516373625705943178953617447257074695012669338028265591059787927303951106076139375967072730420681029318965735584882017709842652430918892759876179313243003437104205650706201765407883510117212417416400464091988916521078580368300867695026080090855922044916844668629796115724898241635742373119975867008047127842533533498427312749568288300326037699184613520777212757486063909269791739496561354324709076846649487501625065686289833957078714898725545768355941127941546410766724503715799496284363438802565225245713
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 2,631-digit prime (295 intermediate primes).

Certified number2,631-digit prime
Certificatedownload
Certificate chainshow step 26 of 295

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870655161 --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":1100000004870655161},"decimal":true,"detail":2}}'