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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 #1100000007512648027 3,651 digits created 2024-10-09

Value

404212583723267850075713080740731389223206825995300520899033886495970516308233772920032262621587297010631130494501160709761981279074710320640729806160131194092156159552970386160077414390882398796301509024328733767833956530484920755626999704640215729943752020308067159622265228435225456840227048806302850350697722674693492231453433963191190486505803775845155868994023646838090854696022088706476742721233923304433433595748029889332415400094328076628869657522557847702429748446947110385934732817086625389634510676551945185770930450912621807510234749918528508321344784937985138028288433206880020259987795376012683238469433424930824759340620951908725560409566651802348429622480798392480441716461355655320738344778940734056160904555621217402008175620474676616332457310904061830615852066292570400317577942177683050944303165543198736178209911161110278749720548449574837038562804927666201313823235777506019953239030594376407045589994804839063129469801523321933050648722242650899780043578230623522006155562527714582793202039349873511939348811543577940277161169236595484038611154380772576052190932064347024507010021967207435762313367901619849136585780756085014398235954853266478470129422969237513661755576470146116172224694949762757676553492956917318184290202947529958302785513901292404388882886411210258524563596172538017748221364759988056287268394619697556768711372638890238254440623806021512593359120315311813506533594537249777729008692693545260498729170232461007325602515322534525808596232069118271108666057263378534542233975150209770370560109387437221284621532064682797892658633954021498228754436511081314233025407591999762786908406068294282028918457839806785218210698064339690928850393196928286045370305247346366027397548555405225762369828747969128206698573108622132576589451657656184265350070008974235392710908872027602423675733491301858285612837928859516164603294206240914170275580045808264541495941345060437686603494710545074438230146809444586047772752786752526418919934973263329582518711035892317169270720465416095883340131394008204689050329492638793542312533711131470373162478480602423659508770516389681997827322039191712626150429082511604714696832742911898809661029927170927310228584964580226642725954300989618592373062390554840312575818786364718983482025117428892938210374373904679362767791092960823459206733292238130783587046705910216109940898459489392940826438748454756627555889708873622419363772987777944108165474836611175187725161904232042301195343686699131123791822375864337217611933862259582971895907249882097620928758558258349214165311616751245515888642789288142690950546706180422156614516031278800408951771144666932270581865946886012208997096869349557905511416631581864448831569419521968471274177109518122819708889236120159717188708201954529470072977541598772796203266265616602163029920520192507074201938183581047910762995189485479233000020446814238866807698903573112892286749935074137888313775768949398544601311655876719272618492270187366918687889273365883005850799213006194178410491682911707892105148652324759226980044263641326708190887927920010082276808490311204256377718217911527147790638815667519186710903196890833177377019247682509035804913824647720773539947902179159068388869596935686246897381793978848500530341365520386560709314998021437882449312280268232535808614467725122503550640235153461452759451372376773443177972105753064295989170385651044194022490955677017627100550390297786458438955081264960154486052422333458630575225971561451681637735443738844153989443171865145362413742999423038161872490846703261324427605902532625030228581457649596418124701781803816148873474836681788476340260050478345137123773292612451230325857722963373
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 4,097-digit prime (243 intermediate primes).

Certified number4,097-digit prime
Certificatedownload
Certificate chainshow step 30 of 243

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007512648027 --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":1100000007512648027},"decimal":true,"detail":2}}'