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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 #1100000005243737918 3,175 digits created 2023-10-29

Value

2684811651938701662344236225764529517651258503865743167692346154741251401291981487409667403519493297490645148889927558904424122274640473775345892716692584609611457328782804260930574233301556799900165372634250611902210547225217150239220296705871185640432671147226044916583687664057885090873231613323136448869422391055788176589529918456219473530518684863348977019065748051498373192123606061065433531733720558179982191781489996855474330596092364840941544987457606724766853052306218128459487998064327358647448865415619688643513210542894768268838999845371001123661791700428353996824424218892285761677203064645110454610590173901986486087116417960843510062778178754569954415164841449357654106053508503537214583471902972638565909242698442905863492802786661736937059685989266622992125281032298137738732599927912654222296230021151274891356240580832865097414758067782145205204993432101783365572349963443956027874612219484141750978984035507996818391687056483744068664024735537392557455030035054053299189673847434666829679117762769924929626974322126318669981479194694103147858694372229413040262341647495417490965974675173268701683350059764088825914854215242086368774507996200617390058931749601413066982536662288422904224112238384355143982025232593548775433244596780275401326134287629289386145072925075749460104950024100039300243615705776434570138862718540229972000048623134359242363846056455785489913553498013119205926325734191801123018704510476274956072202556901854505565902614268993898907282286123085814783220061232276511725885765777320036588625012586294333961745684559035727277671537009284616819412284338677688296737764653335026219576590064658479078127485226524869423686173821308910715935667744149125307155717906536076355431873153861863031739279521036976513377150751961384219804541489045201399015769345747083548145849672028819815142371004777778692683435955968009906046163629955520779997426403592805106708185439941930883901686766885198072694737177174385477038060920338196003642682309394116644963948566728781757769601499638633587423849360775059266029048583993359664681778007607056363806362453571883647165619717149143657711545221003049346066230613896364968106952317354650226572507240806314832954144983195446959282143218022991473728752947223561626846276719205889551471861970915588574643893619632013267629961101443201208497024353630296920869064924463011906276147626946333686785130252281160666141669230068563004653415896868983877458410534381479264592060114548148477643245401901265476559327937438392401993390822583234375027995156775272537468243672069328509335905806093863189607139693885641500031371617743646055765274576090963197003083714455570650489390345410698869005508122793198812598335596367856422957369742911213036978426385096122101162312919661159684454872761421952607747455890681950712671922474539321131826497222436028602837736917158132513183964110594108401519127408620631482117902282441553547475745639146363008617879429308243709700822390606810801102251831742655075288748003080034712884729525263181336320605783073199918898751589919859518313313217928016830570913334702053786852361764442738121097550040554663451496661637133349342799271902421637078701369741729100892890299959689783365864607
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 4,224-digit prime (422 intermediate primes).

Certified number4,224-digit prime
Certificatedownload
Certificate chainshow step 93 of 422

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005243737918 --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":1100000005243737918},"decimal":true,"detail":2}}'