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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 #1100000008668709365 6,359 digits created 2026-03-06

Value

21495566163701480045779214935795390914639317766655596271843664456108150903346026257359827177422635945160821855231678515325890541578423057993259065826301652153121516984643915430629636673868045095927518405893661175576050165554953949082375993051352409328959138641460661934428279893094764913388026700723308749401592173220765093231886585738883850969336636102092309446847968262059361047755042208862211298298035979522740561122078683400302743229004349664692774398357885155264351813550878014928838691874547383718766316877795125087580224378219156636432189491594182214850570423980897425871125482052422413646130475045184152154856047089915869289014654312968381367100750798434586559354908748439575861425365180062684202994397474113769202943814540150009151666636664741623009504692514513903086347380354152691884976964963595692190174539224669274850511917284572362278314933871429375296460791520196823558536607361197340360209643261947075807959345432190758852833097778895360124552263257685386928766396958440797542136866911351703281384295431182668196707151744958718072156692431592016106864408064613471527594233699415150408663398972919748210888878058923260390564838239716711548887993384805893795312410254336687643151416227613223844152049739777695907813551952594565719308162803101899148669271788846702469861587977153279858220489804355038795733164123319651690952973344487408911406208960598622695954162143518759238551684859377150214987826665761402127190294204160081716209001855333159162057061790656957233132349730605805121649605733605911883724398973030427113949957188399314482321355641399568111065735535373923716992482730617337273250656185966460248927892165417757275881842011178794506165509895615347320108954754217949105948225820236003000720413922258606837540548503867813349322119815370316525423597929634686954026440993520117998194737140779953361578590362743524625906798668571193552630236002198690580030205948758877519917247145697005848169674277530501809965116811964641247189873588373376716606195059710586970532250281486300107832910871476464883713645250211230573799903702757483363022391601178955117190712598223186803125591788733341114623082549419458187069840684438705428856667999249492575933707491933917927819343099950612435509945628028956704382209199787459381923596229062027040263037455485396215221417838098822228924709780834592581684457949983643963555934865417298407950725385096624756791268336736787055659872639716499374789165711331558214153233631794082006020751301566843744817269121610416270069698568185140113096012937163468097301891913468395932428567419578667396905261990988526737987208800965263301352386254998042360683735080599028209072787373922000987345878623288497600272654079183053289240104270703764203861749494057899026417918303767722964464132427929661388843277799224750287606072539138907289549486576011844024248271356591014088721062437789365292178805451311713847051904118612977891824549424678212623447091420005760794791227822071179319749905292788817250046264157288580065017498421780841463439553499068869621305882697954648547055331463274245915972390349644100708830017510265849780349866518813881670286008120045506895887128607715795508623051162168931805407473943788673599855899499522509090124780085832532907436545609332298515589962390146031618970050712540809087706516933508205738906646249400672108131939615663376890510631856301515528745059300241724342964851767416079361511069730467167491015606787073378500068581334006339643640059148961073085218967452618906384039310880469658995116031218986950898794897503495589880188835403386688631733889324310612162976729525201695795786889193848054366726566765170963717475667623724291356705439474406589030454117528351377301120568912689624234069597847405633889851381747225618640908488754837076423749659869878141202945251591536380139422057671414849270015309496557918323467496337469209870931397406000268593911821432082815107857100310634147628681492054098364109344408566198781953319851945284051913315292046921150730240503203129616340130033582601818511200390313116504085403104008756656011071038557253246020680871729693423958669472616219982049753116054801822203490201104757143169495313556982626330283396161845878424867450066543534910986303769412836359883511541326064498445159631853360239788886045999143726621473820248378954946018865061123906448757737511763220665922555963841609868850409095902922278774769133613027283546836519811184722611720420039026934180491094578863831931769738505808939795475296417958716815087665546794732091761569809199477196545932613477464139367808739025827279946007095507553178959399074451089310929019027600894465356894709573714727012473805591928073743914442629655442145698326234964827243564633299301110271721531348963700150871585623198740744537252147438639322096341047041510801296408234367116125320532119396688362898546313568146973122650835743953780370367040950752327822661521140398651611830473637311873832827002152960544898415224381910873054906717751531648577958111974563995694674584503943120238187719237069227700322804624825614131612358321824785674162400546891832429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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 6,997-digit prime (449 intermediate primes).

Certified number6,997-digit prime
Certificatedownload
Certificate chainshow step 39 of 449

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008668709365 --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":1100000008668709365},"decimal":true,"detail":2}}'