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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 #1100000007047571518 2,193 digits created 2024-05-10

Value

103735505689304761287169900106061038740082604712128585054100164654171466276781724712094974587888351007541382302185421771412267593567287425200213078189120360111239637740890869940283024196883998732060327932329966293295697624053732888685065487922721386540680291963787095661939191757912160242671135661280446265180376154936891136130197268514453568918424841046757161655385504107056019783092112237028213534783830163352554363278209228672329259999821412585643930798835230113515478773491908122193046633008864633009197253209561343232517774988969072466047062762200487994487931336816594497065199853697132685199768826901053089579808082565752577227835031346075096410658775733060665897867887555339936909438828891952026496371001558306829850926698527438122905486901523779706526465495052573090274816100544282062914058117517708036326741228368535734838483471463474138696100206967740504838018944145763692757033903876537101430730293315243011197272192306020098136604923101672254140178216639791997984813202654847189111622089237590143866945732791643775599706481396941233787189995474735571743070655837706673947402141233427899495986720529537185144763907071230408850690554002110997251819999739164662922393603879448303435385791006091999330112770032255818250082024823817726131321421065156913986776141467992170130698625766162374605075099668616844104169368358297566419023608773953583033528436569007961182739230491510618437993809706708842217570215183377836212366671057212952433785685355336667846899799034963454256970556613206750132355030958543480870762491368639499322784708013666974588370874697542059172771765842516560095743725332573553999739818346770947567166394863836755038582849152451711878972302843102601351197484986285128066757597732140427122294527875778513727904971865665276916889525423154759110826559796782731900752346414237909689760012989033309810360688678998477791585227638760614154317292850134363045676553830008953947109157159347378686510092783648398247480082528290108600296992934105543972856203802376173887994323728442889250790936611794416862460736754066797667441558047273508706129873263088020465334314106247240697217937411732758893765243080741787782327748993820145405230555507801993070617042532981310366508088678807
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 3,402-digit prime (238 intermediate primes).

Certified number3,402-digit prime
Certificatedownload
Certificate chainshow step 88 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007047571518 --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":1100000007047571518},"decimal":true,"detail":2}}'