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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 #1100000005814646732 3,936 digits created 2024-01-27

Value

627162343627706375065438709795387348686058497966205959196323341986645494817566865050031316428698629133854278523846234272790171137579960661071163054078128138588740481131546511018190235790008146023851175091071531203408034267566181891195338836728843643551761704203172006751500588307319160221408295549312494683665289684864031646986376531209663085900248994776010222887225552104625699789616246167591528003286926000113367516556402730784951227478771672473581668479220073466758230537993333860482074993781223489237191399351450546007749353520412419893873512128794646154421869232344957311014204464228645692614720711640866676262675717145090269133425275812810856281897430590644880118119343716244049743342995131614718895030753353289420856560200387588951270434907390825128903070000051447849723814587087362171980997327079695177150073868813876789120841489028714089356864538609858961384012241093547710064901126796705601031116046084520631479041561529534528907668156118735267185455919664243686826641064250435000086426554722191819993749590694823492034909768953329836811690945058008202049916455825226873553518310297277686947520925501227308773818069011180687547380069176026305750314853893230000348485523963379278952489433498608851582735069223976561192376815488544480495231687032829794275092877796239147473146371283037550623953858827608615975255012604391786953389313777911889221023770458151161533282894013753722295996321958366569307231548943174072876321579136580501593167833950940869954635154388359908449786458291560702460771718125983942414320484920318747981575770844210875192005219662410302588408753688318100156779071008936409307846306900375154806890297067723685680633558981388327587815079927220151241849736790958072433245076473659656302773347349828229190023861103970448385471305737970710427097659431050666183327010438853249477469724309160535040485758291984235818916859252138609990967303178561025625789639144232207622985530989390698650741032853083758182350771203711400064270802953843854019896647238090901390329618947665075497048109959346377635962195479220270678889665986615388957440425594098089889494124287570715576335099347106342857396360885819225775940883872846357158381536864687075407371567685548969233253028716570184836496745280874662084640642112906858459562980727667974665689063696254620477394646668178739300466361043122846736008806051447946913612212784355594955157716729485992398372180404392052242948351366207476255448232259534268838078626462757291700249699943106570297538529570921650621095502427435431295186401384881817525048864882073721680257865319824654027956279745943775726160518638278361083965601291702112523658283561644215345354008464029793771478618910283338315686307523494474778989406203150803431573451776754255159224953365999055652364099738267606342697542949051508242119869191311764841123192461956124050604971719371368056186556246295459717190769129330879085738267876410656495227096339218467311056057261065826364257963783091497490584856340840452182032150489812966247498762827463584333795547002843975614900253214760716379978291056972827864480966662563780582397857062126670989716263558139435978534831305997964074076081117991280708715259621306131643526010577604532019129416321781614196002511295573391740312857877346293977453656457744169536921703684841047196113225486008425597523235420754162450561295692256298535760265842257021478630316374496461108227309278235286475381713070624560928277405802178481482280429205714822923518587605762565271726173525223076215816441887864902956590273575136341644168510227047518488520900847874475908475180659722570500880826660226629215680392435988094121062226228164680163534994010161859080481472196299678106752484410937968252161510336760374992304101974765263334589851935948053923367473871403949835659575212468535778761404575123847739631830580061869114764654307611610596577221488222804053175241205987389488170251267589393645012032843856899001821235014306867487542467486123824927933619488169646734415994519251902714638790639
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 4,372-digit prime (268 intermediate primes).

Certified number4,372-digit prime
Certificatedownload
Certificate chainshow step 34 of 268

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814646732 --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":1100000005814646732},"decimal":true,"detail":2}}'