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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 #1100000004834348301 3,169 digits created 2023-10-24

Value

1602593114307872035538880351264931342001613584040021513851704406101292380148834077326778629076514464233926455527718699859799020377015303286020589758736885592131166419647143024983184093109156041609189781854152766599672499937761461977181624206298194140076177904881498688731918513675170238683297579643452564246771067816059548541692117393453174853657216750964627314056912928952476148752358496895509719378163207475487187427008609155905377274661913265216643439800611645681602202451801084594825610879778513135290312877954474368886534375414414270080105107040633503175029309190886061534350786657889528254922899602221147762601707987233597776179668707335954672600301112926568435626677284770259200539744377217445616179352156927417032510808394653421277152763545777883146689377110696882155387957284149269458458266378641916260631228719043794175902590429006240521707029301418259821239889883165700927888673725340725691489663913951614352079512805609455274864036807147419678476053383736847006591313405545193239512857930729813465610006909376843265823262025032077559828200200834483763941330350752770616974211378277243548053670237339138340346332974928385987812704197548069347172717563350697488351435239851368639787966711752034336918760825814636205921078209055384695762286752960564276939356611133329435886672566340367637695625574970518057445555068896944137445045753489987413330881110134200399851983996395267970828256582532783938234157166695350020852117107969634307271591046620655453421022739467145051538413155001787027193721779427014481907912612301357997663403266936776715956668768392666165323677988736975198892956787755786181723261050393981418431042048688488787841010659258179278845963300642892724129780109756807093102166313621255486719074781804358793171504971247259189579815890865634599249701330558859857089702810001301530541041968374715505959803632916918273214804711054824120975807525750527104801974871284266422041341630097024779842837441609299190080098301236256423945263125384994336209037068664361033395539677000789118484638285107283419289940001424511516639328583195939080380792983066317920544692056543755587826286359583093716781891624627138201142481929922893051497125229836276858757656004180975103850708622981362635369605270556885074001689998789998210220693153992567716328859381820418114161610321159929367289255601619386470090562851929628586067783765942960399262684240135045663807575233623038280868071435012367984646888322675296156695089659743368577768231583817593390780514785717651767531386054471250879842132145355135216686551178749319673372977201120886141593565956497144767727614783466844037006730897225597066694375071240320430013349823760328250599287747137649172416943015926147074239928558066973622716733221984345741835799844713923699575390131763080894749146939486089188639688542158948736639005474778716179282195754739379332640703998997062982998399167582864509945270953433421117034497527953359825091722325695972715433337830207293470138887330598716818286396776800818401160598060014470015204356901960961325665347869396093523423614539804153845480053960001401242252860504156184425490342945555032532227349167198868313404418056965385676673191943372714813531816781890361305611113401298625577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 3,757-digit prime (404 intermediate primes).

Certified number3,757-digit prime
Certificatedownload
Certificate chainshow step 56 of 404

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004834348301 --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":1100000004834348301},"decimal":true,"detail":2}}'