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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 #1100000004865351622 2,000 digits created 2023-10-24

Value

32271400933025451446109793605389552682459026273207298436978733674020048372911887830972424981514739587509318113576694521531798732472349328681690303697121093050943365299303543606725064070516189667355788618060101447807674026620218051643524312298561316685106787363165279286530233453447646257363725968375465546346823305303364778846120329747851344971192211266110174202172410144185175625328329903676597208487200862716972452391462037414381722362680539637290823865984650320189709559380923895303544850324457280880992988619537094945165507621654430938894091245301823104487886321477185414963748790594752236402707637931937657771862168769398625488849416925581596232681783792680532109329298993517313875412331544938640118441457170540017587933475078782516367303345132393003560080907396115683878055681289324805645334477687594639243473701966939468436031811389571364079531826888944740494614156591446197819627181022473883533933792783396852031597041226625250949232177875581022239001571868913764114621766430011208532210422541792148329473632281811510966614357410291530311084307946195473911995319628873101476088494611103659339122933835137990688059405107645139114299050616787572190433467907267841870900374963754118672388016864147284319822651538181331759074946800073424081564618760082512557184425902719287569220946379587899566540231739880983453588053978148654079366623112829315064700932604646306168597661592264558807920995588442296414680806378571780291471030737171786465387533767493429235100856901206327890578132884200679565092611735698949308384003459267871271199726648564256401922160012365734368454941605797688206110198390661483141142849444019986850912575054979390840243130084396473911423373857120746578418692185720283963429607249243986691882123472601296751995357031090637936020517094111776148083483207981135524467952312884095382559396468847525157446867128119913986673453811964922441889306306216045438365435766815550276938828528854570595680552672678810332712092154945145688520913386852660867467939046252443824430657322822209231
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 85 of the certificate chain of a 2,800-digit prime (308 intermediate primes).

Certified number2,800-digit prime
Certificatedownload
Certificate chainshow step 85 of 308

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004865351622 --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":1100000004865351622},"decimal":true,"detail":2}}'