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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 #1100000004849397711 3,231 digits created 2023-10-24

Value

164263605497723325618632404081004641126143656136910106030850161521825935044882660216610519860359155717799763624851675320234912205817554769702484637530659405444387588043957078574393856245753449307022216228468225657742543737071633902616814232987707303914875821476428307998153965376241043965052120298491467675711661592515786320842375072718809897627559189215098294346143721648989645527303607488144968809424345320016878854644175673517951711201830897488045850434189852443518142347610316988195812314381650874609742744446951300980892965500902564027038237000670932306679688322821573841530029946276832261298161345145469513962973205984002711577814560299196301414286378409982564659245758649435057315140788988065798938730005847105435474660380612494568258666092086898719332353331993994731679665183976779633302810813305597754981287303562505977230792012466285644944465329216396220489508232361765654093880561267670935923549537796039473030766830631576115739960594029299006034857017054806129930263755325958273928807186389925189649016228943670830000376907193324049989385116270875114889514623642540820297551796636108315275824689587390890093231139742305197860265525661493350232992060221646469408352398683025166027346921936873900016271338892093134532702645329355993146991031815729917232119862108350894026591613065648580352911538014129923172191433326293474840658809710799487063444557693036071180663990944017832292668286167330010475078516157761844614066961747537062190427953082571853102977311582267463462314514602726526925185802877339868081109051050129940345032588009766544813776155646968991930814174528701120208550097464550836432752096377558038917484763174271424459770211532290162461801663417182897786691701993752743018662405834169070223140739867709539048444424379645083899139024391265666017081139420517818009545424652876322778852171753504215128507810568070594272304472325234823740833348166501606782569511220367781564308338366908404958978148273456725402749341093888380441111527016010491067100866914769401059064390265926949049600823008579727144317852243959666353493813529075565401669395495157376112706942520295103272275031645684128618050190768937813772652549481720308191405973579170633691578165071572808721382138694310466590336497782605744801441215097077884081234656874909209306925386591219151454521151334151099553438311889062770230399303980041541397669315866343497225682186830362145103034222106026244039184762899010065203901327997195709346192471291360379758403457664096490261123731934608059181726655029267815955826011729669683231534207755886652017971001859566546603566853476633140149914097394166433467125664448171507871663388585725689846973361229537038356171253478094376021652282143493507382632434014197449700594693851255347671245734483640029059711977849922813415401128500880560908220864168062238428925751993313669721574907853331078618087494078170630538974982362998602719948196161400727420461342944314177517086387121968449951713606114526017257707050393990629338538382209931988917133185226199489481577055311840267077100900555508366335921534714324937436240721787997734017532296495131954851496040679301186707856448829063368960867607877443070111293265258743512682543261354302096904290604104367644109779908914528910258586358252903055280431803884960921242684357
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 3,251-digit prime (396 intermediate primes).

Certified number3,251-digit prime
Certificatedownload
Certificate chainshow step 4 of 396

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004849397711 --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":1100000004849397711},"decimal":true,"detail":2}}'