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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 #1100000004853868599 2,076 digits created 2023-10-24

Value

243641434338563574353016198791452285758880622820892269554494728672025004927099633134007680181018244505527517073624568065731874290328291830791158827754749101307820129831863737972358242281561251894013957980801582427590240701042149069501484560872643559608442681697227747934277306174624465483352909490837660496888829074726769435977790768995577002087157562618011061945458198728749064300469867307421229836660373718818892957002559640873547319230752325250687037183818478968080223012698535407663908122001980112919498046108149806135063996148082390274673294343115508409410367645227517803234245156951877404890926192375771356543421764332057972620709245603715442706294158130153437367017710116696635048374586325956602713220661553277575192323800727713439132550404397762425421904097995597764332173127055194790974375445089587404778201426810517156238469473778993735911239412309596038367435751042248405334631618131577935621210132007861226570898995016075882793649130710786391339721835723356882496124606622661865348358278812490104634316222104262079184692563488853515791074601307621003942653012570807260981630476775015261073358649788261971020160925365881295069333677831519029649899896115461067429101954384615287341881262108442057623254153058059613339838297537385842462074413326537575971531129819727296972141191029536266005679587093709327482881238675914729075203442429575465951170051671069769973946941043767667523735603132937570016522709268965121657546441432858900262219249648428111768596407233122209519065861674246284644384616762949017334821982500835720909376034701923452806117316199793762004490110322272840770707636553225381809222462622963020775580837635338422291885814722381302762631536400733203606072038414106043453909718099835793746160717975746510872447555700147073735980515398208293799981451494070945725456476878027409031314586171856358187689734881112665503770610503373270552739436322690418001705254365229260046046711297318261619995819617206884908011851013072365597019512876572526720677125482779944023255312141483289919097008165806664981759801342854969780586343146828506122432956559857145659669
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 77 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853868599 --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":1100000004853868599},"decimal":true,"detail":2}}'