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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 #1100000008680827195 2,167 digits created 2026-03-12

Value

2683676638311690523125875715541987693525742479864391458653979822892154768092599723407518903638025159841754179869750918135941584052778650153635666717802756342509213266045402173855180089605567988524792452214101771204435248808809150434656637828073346536167969417189328886250346955451236559996788237154952560819471680034494714441066102819130564541927164876325763250036899100928655823610807024709156364321845459616856004521382576082156572377346593452563301854787684391207458485272359931543679773231365593414829366595275292858845517540619554238053279675795633182666593034191848952594310627676281612607862788084053629190971258063800437468929928768821036143988503546746852423973333303864824474023115354589155910940956548707795212343865690611928657826905325641529047179451550184536650662773802975463800362212795716572427252812365480329305421853353140641887309975779287682469171933416153828925623050299483306791771426504449931061391022550564049674160205469466761581391940805926129314744355827749575715417537138399469483270910496890078462062409039137056667984658494260110065697390096894894090452672553971543215388327544168139432164664227393446086575587629273875683383852830680781930559318403929755124048701399803622991800939718613012370495276161810045934022000186809767258638391465668548416271361537211495146540361664186963921578417891059139367450702317243581558133786127880494939289219048522026058235070615350173502252704357501666083084366644633395926867664519076029481360409126770405087132590346256236759360719491601414091112748334510414379366666775676184494266438134470958926083442690242939155026788881529746505150350746600341979766063034876477310473228939659993693657354505721955985977121987877486445672458399827017987556508397306531458540253726430874848117665707491687961093210403511090089907571714014629592160134138161125884941320945289897270009631585917192504168238231138752456273158921119931940657782004892612938986829913976951408109662704736025289543762202879988249445635346099038675909115335926501022295747278551195328204483716671797635066251491405106390426975354632523509278939913992179814190777081734187438166445508904991836848962587055236299197540567327057964216629
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 35 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680827195 --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":1100000008680827195},"decimal":true,"detail":2}}'