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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 #1100000008753399166 2,686 digits created 2026-04-14

Value

8475653637495725740343527850532227144427297208238282277097838298474898135604414012352952134687542747332811125241964789091492953606672094174301530553029920603030742303519757988748452483000403829514869326469495860949547604918423062141595313703280184646954360347114901853455388716745203804456091312634082200126385925273029494833318518620363291082178149751712845191467965432344041377142188660338301294340598922717294514029197892655811288109357722637636742868219880783669593408927281491779892707251765358706892162978923264647315403152390657444183912944667380261178657262687779166567687816502831358413147462677729952386695055000777109805408993579666304867603623153668737134852400900996756180890120179369375920868711496517279114148308063124518403058392771420529853809903686910229680193987832692710346293217624923215475555642274587814731937877740107177065438046915628685759374478176221139228741184987502532094577893817555076116144866893673194828309586546285638632400517081748167126740313368102439021630784889974165406519858277614608678683384780306832004047849070875770934785416422093305206279408310596699414005098321400605787283173949975115822763959214607913374868349735168812528927824655990333120235177435360986940599846186191796358054614852326350122134100029346110893044163178555626131789500118162683111619999080506778825600077832485187993370661302059135264649380039188439673342122530433355002665609836170433982421640032104130271092129354165538661445705705382811683727690254380923322471519511300493178333824180827853331905179889611113904021860377967066630642772398166652038067237847406243732634555155577940140181924084926109497829494133060207219109338945548021233759714284492049729205350339657108131863841262061587277331180338539032787201983558277427067216423771568790255769383863791679012613598097822389274971908112151837557609394012661077401783250599602275014111328167151463095435949427702114789045349814296041853619834581488612075600426574487462507255569158400585719344835169835467737925603415126901773883952355636737364586911750575138367666901557507803019067429852740473095410966944935730402032446286680122593513433461036188999210360416907950879847346410449068124682613493718120147719455989261622396262231392115634859523507699708001004903780968195305621346344793382655289371552316136545802963064918707202531658301957803536654074730492202733151679099701145460138737609206922338594642591605409584919556078890452151066594258224412584082364058796331336509570971623486955330120306165643584425695785039104347427931796239849602088649431000116800652039640553311398488821763897222915127256349531910352043308167651922216659805879649239314505704241097927494399306051571360900059935944814913646679349
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,746-digit prime (208 intermediate primes).

Certified number2,746-digit prime
Certificatedownload
Certificate chainshow step 6 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008753399166 --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":1100000008753399166},"decimal":true,"detail":2}}'