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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 #1100000007222400819 2,521 digits created 2024-07-08

Value

3349758271623116161266803523327054718043002197687839974833568679582208376679599018061419059649580378880555442401345165643796511730036741956887095306515792340691431263545574467815445261592877371593459260506654338447283664762139335778282395712469139072080497977462873038470147872516083136923295329560374371501422321034500012660357075126073237468723732251483363454125549132166637676192425342545029841686072622848811878511361217213666816179693139247833317953755477060889123012739422835918612989786865516339637167209274856505409354921450780023353154411423568544199275135697097230747607752647345835551430242150675571762621815517897584714725126546065038454334371940385308676752742473287495961823237446827961142751238677197427793871628108516634177004881921609765310103889727118147740337392997203347986084604000235803147655160031116324365877810203814646594837711667134368682145040373651763065087688996640602962460316054541489243020060240561862698082163180873981309096473762588504182852178548114336082789786972507517191693217747178995702939353644934205895585121859887365718449595762667397440917767606708138217579801791627297836631518601179758115249047699448782538006136955902105233649831339074057572794903047765966973914714012280107601413169364318171346216391345861799080460893915473716741907588947604146327426066405616299587942382306956061442418472030843066919233239615580265867269240095565883232686890173999134752147851670305368755166755315347752076892850717575228246103468783531712128099818473641621149347298824936283681376685141683214615117645339841772550886950925748608104245521826949560542994523675640094676177018867513416025117269914218888074237747666666216722680138029354549694360876932945733718521904145862217039623876588396585202240208156940121044450590840937250559266625195947616508672026282152471416865080036291922111677518912712399390033254197925540709784315155904868363537345464740171027496138892130055852729708612655007319340357039687676137477206324708370471253984265795724376105328777752458571797201887978994296077703587220316179885539889903581150262375497778968827745078855710589157342409920642823919768823056772456816484214470430542506104507106224188052428986961135754462313065994466108825462872476634020277850279034705128996304851412236099637721889179043763370065392449638199460838164522792260329431200619700345016289165429600990683306815558676828862020253843664876903773680375386459770968751043617149789749086751819546901743309331909796886644466106927837019373972803112413001298685576376475167940655024816756149
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 3 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400819 --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":1100000007222400819},"decimal":true,"detail":2}}'