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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 #1100000004854282706 1,963 digits created 2023-10-24

Value

3193505465474146692350397325916357515428737080311149569020803225349824176927581139335934309093338567112510469478593312762690745442866410275939358460932632596564884956505443781296590274686947186725244264471292842288412717277455063258691915661445284311160883754605183625423179409007432683381270436228475087316429010502139351587980920104064382295959471312711688831867545679369272526281347947281883987400156191143846288953834267018256237454943529633028574928804974951076519645224324974863676603366658002882948288366215501464507118297872964173663605202252096513763282412343453377800939378105564988922658602406192817681312927972723455046378871913930969619950821196163888301983446111839552180136151398085294161652004275859846426846579911805345636125700028585403790729488225443742088744194973006213875809874784282567049847927459257566992814137925805487100474984977215513479540117802840857521107453742075399239358750920255036611582570178637753369842903203346855991208128695051625323911222303881211626953075704268521632715516350709767002130093089132904820824665429795671766254305833562220748666127159127701185739101155322315083445723085618188972649369634214651003342535283287378419780909394273482222177601502858843111387860616987081560771436965719433773800037500417465606317686180294578562545834228039098305352542079935640548363635082897085782022771722274746494426388485368507200546738300589943091738514244513965267735311541608316555995135768618440595118084588800304041609653292891288165607489200528620816153463615766746770369910921580657219403365667845018500562919391642298736741803533543083379040171058643097450056879169382988053794624906111032114104515612663431315432907779867985942404068434319654514222191924638442316603461139797047473819022081612496585900313904184858117838173343880065722811257253640546896925876720889064514579209143739720676531395381945180951219865713360526865999171957291957029134721081664631773420164037738722882861852278489127538754325495699139909
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 3,094-digit prime (232 intermediate primes).

Certified number3,094-digit prime
Certificatedownload
Certificate chainshow step 93 of 232

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004854282706 --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":1100000004854282706},"decimal":true,"detail":2}}'