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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 #1100000010596758361 2,955 digits created 2026-10-06

Value

346653949162494921374989043574208657975862608244602467996897820473480896035901163310244451570443048990840007144765212886972609668397819914109356226614252697986990470379691323122510394622562837655081365992846127280504969392328222048261633123301766119309721025113902439453420873630197705973210498693418497933328056802267618058747174391950295945314432345661513833218853767931819226420345897553039280839916215466001077447894200176548506653544649508800932614737646093427430394439267651888259923514618356305846174080192808191645181741529108544342738202091458705428736670867920588140872491956138457377857790801143436873562173340004531514146923764260066916639139713111570708301284449082172515408636698456933554877593374845001303060902046543370438048256995838366611402318039743689439429423690284567464113645003945890498481020160609956199532406598747346326374346093701813865589586576115292997897246497211485016933132662602779088897403968037234637423599977133967076570121191940400978295064189035086694983286048018942402467173404557656404332937574671443514248064528502647978878115811647358375591132132414260170220715680989668200452475773390072062977755288803471419235163901101374662848560439266914188185445615636842123394211679198983991458612380639259331686565543681740602302612055570192026424244488679015587128821019776246559324986061267723521207823111672416651057150284775870198908259941077208827018166729105943664120202923359968476216496953944876921659701786172067627377565824180316999064342262185668618675203332560369885096250898474228218111754234266630087261061701975687731857417245182378553196245935082901486581794182856024236528097227082476316526427639033757981841189903386665807799354154359959908973109680080633459906062239767044915387148795972375644660448827032787717888336414609566371749550007048486140209581097190301362666405655883475502121013964539437519119998620017773809841772023892287539401349111437846279019045213291875782434918739593960146671902903308346051330309703642620487508391412827969370608656334686340500339025967699569629983679617560152135453206738766574597317047011958513026802993246174651557735239181487540007580586769730910635084718299972520249110119718048711830945969577750000590897594898094115604293385624342763203331923109074571558258160994937308653654891185477959908491286957877489522279959142659404853304080105814609484368287022705574463545421368903307985203294897973323386888175353373274704856537138632600724318408420588340531460532711031687248600429433501334743642035509270326651651750579253026368218025966901011137544527710787475225153962202319804776166741959905152583168204082211257957583128879825870233610153949652416426804294058621282276781253092303875911227941939811496518328783941459590205534124989625372703939540650153765569464526753834225247317283139211015060400628669963700549839942688858037597912737863750884551125443026148813486913585836829930771604198042757920958742295682203812184685937832529201181307043686530492657009
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 3,203-digit prime (331 intermediate primes).

Certified number3,203-digit prime
Certificatedownload
Certificate chainshow step 22 of 331

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010596758361 --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":1100000010596758361},"decimal":true,"detail":2}}'