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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 #1100000004891313367 1,900 digits created 2023-10-25

Value

7420516135692357333729681016594568910442176544192128617831416886146242954735066039927985798442310904820965690169131919730927900592733359541696407452562354610977069383652534122084748928604265220036472635935741511539798709817310161520491211086569137267858514464099802968949630424091497907820824704353306380959687369960320125420812628430524314207043473857986472006297425186279180064914709440102269203514528830679185258157994190186344340958901812556507550356618648477153087139010041914469557307912344182200464791870994733774575166914986681286411748537799094231590052895680471291437514730445986075196051430869477156477818658670249301132017662978941259966572204724204554578370182444142419602039310281232120516065795576091885782639296441798470577361316003673601068708634795495397750120812254995812285261085231672760963285582793061610207762007001595660309964569902341951059438942663110691070580390840524522183220211077580980811198822751649209561562439669416549204751482943495484768688022667127611186699613719335025761828327178993657472072676797473642190364717369472809604381870461503056857799091190822334578748692012244413976326757042642256177482157377840273745074286078516877894582707934796604608921496216224879017725514638240463817717035188547073514373682955640960078695042607583508833277749901074997070629958404588921113441153346375407582944140307487634600585552300018945710700347127592459094687858795554230497995012454307866861069494006056530904122195075560427889012406106611398194979397546898459868594933152418072830234335480012653079345381354999233155429555977912655314123119549533611659716707695503743238388977514354153691196377153352857461272009242253513739991042299713000369618007771185838304452500938450702256092605162504007982399019764332376191259825105781317387219342788409421603686300451431387099416345270114295304457634697627034591878573401535056121794446084400948489286853572485803844041903963
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,228-digit prime (242 intermediate primes).

Certified number2,228-digit prime
Certificatedownload
Certificate chainshow step 30 of 242

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004891313367 --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":1100000004891313367},"decimal":true,"detail":2}}'