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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 #1100000004817434199 4,257 digits created 2023-10-24

Value

255108092931533473103315173729568850864899322156753957526064266397679326124830072982347425095686234768807111508677250214793104920781774357198254294039680269038506485471816022393935421332717080681688105692937417757623714935273122295173316403852593006134405689445569582356416489481084510466555784691593704921547465294957359791684160004377173194809404428227915359361926228813686228238112287070820990335584801279430943687248260421790248504561210076966178955244288183900597240947915982271185773686603160835035489016227176734883821023272351544521385897750352875394566945504770367349305374115132771546140064346159571872450236858011013129345345525109039117260161675066419379675344065579062110916778573157851078277197071235167296430224885692333353023049439356460528513040897567358762961882671907170530737845014822895073478701041343839172904703130081200388869313207914968325254322705630122653702694830344374907619674503936874851811949102499109747921526577548516893478188260211160625131826427972471858872221749588384521978699923944180663035896142581327685391409805455457170479444457820738897818771197645478083313047478321014688704925755956804179461029667614141396210357857933335824814940300436095202347522879110330140799782749855932058311834469478306786861547002503790592312128138206030917676519270645617500270127937322504664451048963690004114537816344022674635212483531039392722412675084614733412745689262261143808057475716803707144128121597516806164784716302264116146482154078428280111675934123459727805204429503636455909771749293946133870940810332716869747476027255362645222081699677312038659006729368048008101730730171348294036718265098105105938695099465022459819880001757389816683019882475610427517694367905732608653489257588025575430837163567690800451703073349294669388718974542832450294843139934311876985642214253059993920376805793163314359479117099891117152168466478825994057448794398320465308197594653564410603313717374545045074498363115648637235957296488891014439214386541610838220910187753595579071397304301743302741185063137343199011312080757704710295658774860849734917608714648995663294040302480101662844754014801798055657290269427457198190821548161395684482053681276074780200226531930516603739249134227739494516976213207875943433157917632658715752686340426224020311666424914031913922150610384966585947610765221095584057305346926087051823434551374274931519116663414367264938717709199648262431785993868480620728369184271690255141695175987068131013068125298663310563849046515617632884861509979355750097909685883512324679623237808658311186350711597787566594101765331151562820471117790519153470975717848353274201519145314212333023273813301191095735895850891374575567809353310007272530464355687604195839018263407040540507466437348290721664959284776171198489983897582214217753740724552528074976013281517892628632767210167836355393701351079974743885698026375881920452751423710304934844435249361438330964645073308777060498191296113414600234537399503529644793959225039179014098535516441217310539532116543836751037355204487141355986100001174461089951500345369633883338008022758472870857678475913797358278359113113313344267120875487735150394622792203418670793361193293917563350730603180182830666791230274572357574413519172109908583354101531078495848584988814835568289078459549992508267503471839283988775056124409704468311009323801488557758195435729863835942594909742746258780816453550211422126811578058719836425615457857564538753439862384624269227924310332184107195662493351398648805023286382845111333630129637083724988596367321735220668047945394185250982526271067076116268816194502433681750735053188148077685122934355443054550179047163875283483848332691737286530115692897008343281668470240139034953181563129318584105730732232858766187051662437423423458984746762310402310989146958996312114092838916084767778662897694059983466236777740630848237909366629200428706707382826607567913945905603286280845414862944475154218604721268141937087640886889498943926847402191393857922091488108619470214444291865769787700279876778031004966775130568769307462022662742878727435983698151870148673333932004035056734049806813176997394776962276662118496875073626927341182784217020935401814203450458757242378148241385240567982841737026011108002748166246141232864560017782272680021662631923
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 87 of the certificate chain of a 5,211-digit prime (526 intermediate primes).

Certified number5,211-digit prime
Certificatedownload
Certificate chainshow step 87 of 526

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817434199 --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":1100000004817434199},"decimal":true,"detail":2}}'