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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 #1100000004828253777 3,737 digits created 2023-10-24

Value

61268861460236934560640189283262585070678964318471429609091454287940088012333225632503710609204837188819634331253236118824845688242481564810736125572917731537126063760983895265805293032359705483873170054982266994197282448391415431519849399651525293400324580090916809911654137328990510411789986202353958851000855987288543574506148705459588343477265280771112543341782467132321450100299558265378821658861203133393255972562631844233486238240137057020900496734049597932181910041024559698199921729768630334553751783978244914682446362239146642011295968415549805050409640242729035969348142350453095981778863439418625264762614489633586461273605730856224179311347922848178338097535642800514349359803371396601024379903210975484732976114345869763366435721176387760788422403381858668520408055895158590983567232786469745326492779392576430210977688187321196010940323636208619142653476988750488734034693480756437968978839248891499323485498481518648974125572361906788204424271715683284190014120277401016450814788458065627922555661472225821926965086405411345723200216563980482204006750895073050299911008738964766578127936142784713799855572830909919767272303018880893519155631654755769205676133896843355516872248949946461884359381830019462239640413074941489415503051334893565926529888040238682893363686192115692579624210888106875573349487536466738513475373074376173325503523541954613688277476543707034867847227483022707927328434342288980663954356372602860234379110592131307121780920234901422621560180623155082347083797398620651937974555989501913066462290363701796644778511400063201662012883790229371616687386222173738443284960811701236255282794766044671882609403985672083450965861775983856752523092424584497521332679334680710047856191820144159403918898625524286507470711623013564541693783629092349280308791922162659586022345028948743313216958526116759399048406375020149503592007157802493930605139704644110791566137482991232956510720164770973859880076295671205591234624607315519154743061135689219841468700470444302067236749506658652367476990295628052248555440067941273604026807861986905474965483097048385056242700473393497854913008708894186554380785085106112017704073630766420583754384997650203798791798702291365351912436658217418539296960372937227818917661809288792345634008916972408065506537528040200118024882928139169553484859945939532371188106349692356229048401500490469093197258160904583366667476860626926432857680094183770766184524824011423057758541205964887285372862308483565774225849528993228977714612114317929706157483878449588840441902072207014639569110468171236456842755204760900215550387672049563471047342273931697446058266339207626241259061487427879386133078391148813980343651325261530926881771181432947562964546324268661391819463842099659013294566940574034726089625446958517466381643372525358380248984010942992199999943358910922444612341688200842886897411085979596245471523838487178728203439789991445579448369250812200421786244509933191670921118540722418048924966636008864747051158631276117318608797228029844556957206380699032967433672648619989928442546239908348331431126854213403075083071661565360662608744019461428830129208420236738226363283167452583265709767704066816684170310713026517760878835155046595811474667736845971509626005326286311164164536503338826282377476475313181414868946812280432807197210412328586344991320999338800552074060580490766787367265967384920845878430141960876869094128943236491385757919185173373581504590813966033412280757161335173646480422854015268514367662377956074030313808995519896396384270621676521560949688148208266818033482809296313095243256512416330973874987231728193122413621134202772733664285111297555003879083329298714859948175132736987267884324077467956607355361399453364323827387532135750512231300976757
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 4,113-digit prime (450 intermediate primes).

Certified number4,113-digit prime
Certificatedownload
Certificate chainshow step 38 of 450

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828253777 --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":1100000004828253777},"decimal":true,"detail":2}}'