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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 #1100000000782045106 1,842 digits created before Nov 2018

Value

195072820339251268013229924975160217991123384358157362433138045734044953001337939196183691611110685209112083170801219445531496822853179565746667597984472084401391867567407277406354161007225710005936902299729060957099228797692270171539373096872339416098963454134064890722912911960945803294337644384374569921804184735935384343725347774468309734066031642642518636189170907429273823747133332219994294282948448606806135098759528676465476536945334444787407409848027846376488997952581855685052155792668403571696408528996511987149555430682032091460060807343539123131519125248298403912324060056666882673061204993833781513500680051856769155091372426177098587358679200991309854766815355278361744377393861626574050311099252704659835566925501813946936218759618490599390527699334990041489802884026590261668589900650779271702831472123867298799841836560750471709682162071710670666105974115732242649713046146222608388461314853146871982652393218195666829376109435614463360393230042047781607348386510414588743746929646495991455312390710884868957412080249069796716435204109306019023310991446321767048971385730596496197218507074512930265401082457500361364788576160663165764469067745205112562403000085763134292105035531109831049908654249023640030232053108042273608317744111475147762515063542646056396107495807380699046993055588056797685715629252728475648073194833132331992005777350688372410606563474804386299206663577253990842210685250963192880673264641912409540681965144901812074491672680702623048801749551455104437776804244139813307954455239968976129982147722766603351870638499380917651823187644551671936929825970639610437184954621490052991181638077565214813665895424330662395545100351648732692309542016481150839333881001328919714789926524179517835448653507075681764016555745117711360169391423247885141737334101690078100104361935548283257510840559376938611702183
term (501^683-1)/500
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (1,842 digits).

Also proven by an N-1 test (Pocklington), base 3.

Certificatedownload
Certificate chainshow steps
Uploaded byRobertS

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000782045106 --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":1100000000782045106},"decimal":true,"detail":2}}'