factordbrpc · fdb
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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 #1100000004814801294 5,116 digits created 2023-10-24

Value

1695663208100172301791973207621579031141864318628109251586046255428777131826880878260809085993299833171458177804709094615883976359389419697689609999692860302894971933926618319758436658431442007501752708316422889505460227221395149785663130927345394670621554193049808292140366171706197441492175756354238737027939761982839550834832736581411432131642862789028427728317276934099074758455305653764883320270176472213143390456537582297372607631702207488598324270324711894747936559129051276508998368756672266883609642293171707572519391992345193397820050206797204082561500259567558478397055607258640307931995084043828612145352984412475459726183971668075292022352319351942384714183999588149009128171137329297884106946484603737168819228804339387424818448016647589591433909515601894551903675509909228005502523141465922522977504036180817482372486636075598483813817486458541733034891840628604392758481902506685424651437558534325376238856854192229629124939797721344294026675191771944050203219904687944305493617949599241361875338909417868159759225248158745822535992009835886397220800299405564106444220961687154048951950672961060548665948219551030387927992352480484173158257292111080002566597674859453805254197147999650231095845631853258817751780772559209631304341790613457959438783312054468833601724851203818817630142334340435655225772537835413882634864082588707926772886684394398414149064222320752732380733757643226552302113858149740604734606916072638942185504439825586126068112880880336213739692684296457949194334607216991686628832410264665672536485967818752827321547645119108137481805124371376641865854980998706971592687497351372966646817141586223382618334531598282286460315827383081427090044772478807433023899474107109713411018792654537614769193491310168396945560061829288106514943230907919077116156662956566872648016383169773573221406958242880305393979974956146448463907052229106129590318740845370930561940822540794827824055656176175865236478069925680697347116068224941628316166549802247472702029352918764190089683236212657445993678629618946996838383107134329695691495991982003135269518112753105970687866868570408369732436056845142451358967695575104640467053975294835009589161153982815231247549950308574975310702762051801899690681125756596314624116886865176397980556775437559393559156500732291879942687299135525356524998173924383261702387965615216005423836745455445867800585380486743526883196140707491491434389807346004279398084212157397985015724888777859857386591142366238030870797161184560250545326095419548764052131685230975373570442413737296137038378799784167147631722004043937526804312311976544784697861502884659980789204590309260190799527325224434706355076980010057195969721370447599545372812334687102739366716848358920071216098030530200178652675286028791397654162185560692608790870943751211879882220491928198237767708231077802842100289379532302070445452956587372236307090854765610092113348915911280956082205699981313932126841561266925353807669961911026198340415968441036700153049406922732667675555585674026155072996067576056249734688578067055449534430218437430572388451411800657574054724910603621783394305023539743468553960100854444580324625350232304764701752786335318181102906670632818600443436372361617550258220142512738999291994373790950297627320939067679486092345149253995255892745814298307610970608337061213831562358333904579445716253553470256770250352091130370827058057400438138643044708358674222397799516511141657178314188337291830320445885564960884581204500098883460285685216893664215192687896534799581499170184764038598084812039380247784241689887740022607351075193785965065051005004215693100030008585285667140842035105035998888227438759953262585876047969268947063519442769197904177669830602942517741411406950122170189110228321431826800028733879891593863606432710773266787784210477451016691423649809461539898335602427231782948800791724742387182341520750741388444301003680713581360005143928614679769670730056779572075520945596553681769122136716345215019138476263163035360705387141797902392496880314609909565959695293773774702411701997572486129864553774421344986146063977725383832005413599438354008499396659333257772199111750882014434532441212670283242215286735750585337275175650183208399305812212232913333380460072378151467975353443140924920855408933760722829782155322801835119334186637182402360926318502269521603625432549945019094184489925946516487241384355567089610344793146000107034827120873831363255364199546244988917293950272600577774782352232221692917487226836246816153484850304996724999127490296817584379068004349267932555454404058381243172881425063096436001091379936116272398295237656334877136213484361256997194688038041884740923751805848604628253949469180969335152730238530143135335822755970030725683778124734122773790872749396149780468200337750153206398948704013654291352739769933586476048672398636185075227573859906876870607277893402046617454872047967517122643330801879646219287970845186902630670897433640830327423928997505465981191737678518467122865014039538791416793221688947619902228458812242058289188842065407116824525635641547619477078088595424007403204628363389436681469971187323895960705720446907
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 5,555-digit prime (661 intermediate primes).

Certified number5,555-digit prime
Certificatedownload
Certificate chainshow step 50 of 661

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814801294 --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":1100000004814801294},"decimal":true,"detail":2}}'