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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 #1100000009054640806 1,984 digits created 2026-08-08

Value

7518261847821264294283513073490687965042223439420775890240748254428738727918442428164618805201670752626290988392831468109493560785463328624141625152172453944534203159773453101181585832206292473947111883954766731070213850778359714795985895436830549004521200098398034012587474667312565152650533893184703006552194642030690984640351676005202667935368597593379581465192715492176326979258828136692325052816240781851173556506742568483536373932759390861780450632238071267003400675555797669250650911344900935029407963726782140810709845332482478465931698444152904325239883010019173480700970920809499219236683584466363149729025618893214625279684632076429202276910650568567510717032935637561099165709146299924706135041811238388619043896438271648731833221394597397547329490638830450658226831384146455479385643530316378848207239721811040597577475842110290440655566390092912741169795461982501540373689766572740534890518038576457996271824094547823677229024952509367033828147507297169492535663209982553020419288688800144346988402888320419202973654659780619434325831122867404331055720322251987958968809661889417878779476701678074834766886227191087767212186930215095754081968766287107020632552882840853413385698581482731133878945145444987365367802050817526723646095198899022963413024219637151750781056058724292278092529218028743251037235031084334587943216394621588809924995249979851954352167731011280781037951948941044011449390994450871848154652003812387190835776615453838197028728915323429437286613700344045484756319545014007948681850039374747667115011300869644072815246438110251104187738125593262604148896463087800904945974340658032816414987619699862676147670076054648492694592412138920136044790234581981505193347135079292090959364176767509384283654589783688416521345745904350394920139775536999526054636406126011663722420834824484845916951079036035274222552928810963809570366544871540028777582746752581659835328585570411559848719510935810611195266399753049830744467043892700792897454700894934415563167
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,415-digit prime (186 intermediate primes).

Certified number2,415-digit prime
Certificatedownload
Certificate chainshow step 35 of 186

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054640806 --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":1100000009054640806},"decimal":true,"detail":2}}'