factordbrpc · fdb
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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 #1100000001765553471 1,561 digits created 2020-11-17

Value

2823462244811674885210612106369850980688013983309356744665194490402561930424213305359126342940473615603016033136566252742529644620069590648350976180757416878427762477185921041234738930678512958448645048590305175277470299524241177282614619750370837904863926325464546869941615470188916870758323283903442217500483543567999722364379696323318902447552717759184382702054420842249350710691856162954782158191445936360511510230556703628423925314714935544625458688996918018811750916042348864063203051507577310222994906518816855234511411948038703343435878468288984366499270528163587090076587578078060416738163863558514278867822526417226374893689701036716986344980926128644229416574775242960582052289161009706546804702706448701344222542687489772694478940478874994680826650763442279800333996826622501949878532563644235536595819968795221414237967732084908675924429326545475401825021517089721052614924151298340167516052369751952650473180298425894985605136540549633242406651651317590119623682446114457370231962936176320496751796907374584578143695206418783198286812173192324368700193060683378033801449633625569244771035560508358649608743152658534410769693455412417559511319684824875331154369787023990211476825018726479253960081678332581669068903437282434784535939118146227929699476156801944524506861618727851953820522212842225138659750682837788991761700039556614803837260462055649195221267128512645489516983954917494192089406775563607977366441708555945045215177963216226182755118058166785490142770639851946527542797900217743604423555235753101486157488910621516187694250983034051
term (1002^521+1)/1003
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Is factor of

Primality

N-1 primality proofproven prime

Proven by a Pocklington (N-1) test, base 2.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000001765553471 --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":1100000001765553471},"decimal":true,"detail":2}}'