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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 #1100000004815102098 4,741 digits created 2023-10-24

Value

2003193989329728608722791297063761771346331959384283356512981288567436086447047683301172976887060464850636995916500508998627564933052868712510020641453242387481578022814803565218608511798588687984294506177144348514850269227827691525986988352849782720650350323117318736317779721631565134432553050254209734263667956517943975139355748261642881152490683676572509096306714420443013397021204166521825212677987414236244052509932896625480147043001006417676931267366463717691734943825015095608361027630995919183623997911490372802419602543218304073177475441059611580498379186131966915237600973047019363251587465907173539524542983018107114268212103433391963423977457015760715090859930510484813356251262630480730684938556357684506490000633660058973974337775401011802254319411731318806933240255473382971740353820367938893498649397595854509418420214289307613652716092611506379959742933314806426289541302744287950939626806983895590505056975223678734772183294740852350488714154682694619271385892528425295918294108839779138830921873621140480929166759595155927035290436933800606222823455023213693972648189628321209390361505473816636658093386334946586279053990992137325392886421242615287994902100287308777912059524850712658070232702403823803247606165302967232993880714483035995632799067264894201362040275450608853774519379945692102244461654494487859656557176408773949132509152938822547927776976915291686504161197709428773904550096962345277859146189665346113597700610646780891016273812630262897789976327661051153665997599948432208605132348537632542843611489411214086523869182478269452541137302151894167741865571134235267514151477758321627445182154515947206619837660158501631820931984627234849637238347214489192697440080202150309531447803567813516115354293744972240922714826753721092869150976821523035665061888228875698200665086983297155166059417631117191367055357201866531669087388624904985139319357352617813837585661073134996763469819192095680747096455469589846007084879602841412178807364628777071070494972459529447166860877486161626370630703907629771695605793206927755838336489654218210553378725168378769440857217783933973704672304076132091355678161455997794940646215605494783544707361909802381726418980691444826265548995127500396862287812973334988486734565363350909521470119510024732457971058464438386701414361007942351790282751633482506593663961564775306955107424870640586399519901955385969653198358846349298285344870194381875665757835781738974856489402018367365192286041989432383003019108170441986810045794597476366601498561900876253537526408980363857022297963175396724237990229988278949267379733618301078966236929879557464440194054431185649374372184260974962231525968605934917986243943890061941170277729651732517835915599965786090304719020973624351793226254349848672806926445773258318016787323152142987203006049559024554457461718458271759060099430063531195471493512047864672456402169217150225284063073025676571195102590111209437852067019058379104042285619311584980693122798629576877794322082270652033007254606283728861164066371050257842833631429406458415454415354660065931221980535713663322419419835484594288118600230145665227278725560958279247240147504455016722551049463706228814710623541717837588334626657206636231788766544026498609823344945281613489735957742985382102088945701030388735263301694714364367992422269766047991598940417203674362833652571593291182212722789890859320109957446817435892251001987444386783742415288325644913781443220175892285405345680321962467965107941590857725954741661701957292266299793867924846623019601311450727688898897833076240773960476764150218668250475447689016191979522469392640324878002375567310650909828192160474226624286953495206898300575131840236566937835321907460877972010189785469151947883399697302396311681129204500111421758925107424849132881085829586481861272888691433901594714018522233611445983960883206216070095568560923009452400112288663698133832674293318491522824405731458509908758851672140980016056592038533775150057013517790289425418294941718248264999456176514138810015983497822087405515113042705275875467829073143790864232008009894539830668551762999674096807111873259331856523167606234830683799268998640793939078034676842422770371686225711053013210726848403131848780253977506028806593081457317207917821418628029609712282962234853701456537324167909670017010806368930385204662529981475875101484533477674709882321212620179142312614270130966407701546001707327954957150248920535124199022450106506549032297781523545681596756003915029123111617035250790127348465173435548873656507210496647249330264221606395980206066708004026447972630164412238198113055007957403852692971568921039578064929722162588549455642525061863731803053617608519401114143784115922542101041729416157227233090525813974083958274060622877140509801
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 5,517-digit prime (557 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 70 of 557

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815102098 --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":1100000004815102098},"decimal":true,"detail":2}}'