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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 #1100000007106566923 3,509 digits created 2024-05-24

Value

30411076953089354439182180012020324299222481222727052768362265405928502793148652948619928768017827776792199250963392893334236348043488168173710556476749652536353250639860110109951428201437656301697794593133679788753530390740199551175366013887249937066500830409395032134939394430126563761986500063816456025357637922067062471806937137823864956940898874931437980249773301921504740024548340868840438004580593963386591946794210223428917888869106769600779085784893575411201977345984754680544019908127175565668267984218060328053138165755382568184947642019740875896195674898500895491608187507584519332751646350952734988698541799345908853163831537486086066273745839664755286269505237075892496622474564422655368014299778676344831906733718170321701015149446733951808523473810672666215044591690319795632586560645615400741816327256569916919381097579872410588145816041701381920605950779097324197052605542668648483821588736016132172860083472654238013097281084011578610120561036181831498055657538970874220249694819582519517184586915353806606136743543258041568884566458782324249319711719057239516315610916080739884786060163484486640245104810070459170492435931423236116398666997184513598532879709296348352021552221894828778220786952779935463814215031979728445498822192986045725885423994802252740313988470144734844208273796564903157261346500533125344561720126784590083770712873193939388490494114499257949551516709748970810764936145459059681400605008148762843551121707826982342825102328797293423383739407769182961969286287393148549201196467264553958044122853942126257651377145966684158796086421437371740156060250331186657461656277553660216098660190096337463869487785533376784965179277690537903542707421295555887965256485342716808703043066160039366453086903030380950346359038561492911296636141939742386993319167761513607074382100718246068520944931620778171974996472795160706743087443127666844275628781376052619330587918977098017940025055661157066742232750841133740120900952037973978815187378952964480288523840055565022552991446364600284088452621814282178073399850963923041317866364424015482053969206049241503578358752201530475942943103954936448658639995052568977720064705775802683178734741652155918377845022775207153392218985429720610604777045719985994381413793781729692145377860408348911183117194277862582828916544723694175464160559278452855543064511916673838330830755074022662820933504820353628463819319763446568489551475456630252785416407937845139648005654769615509887486915532443377038748570207657326489763211714588364871817026095722656161180746797859923766488925510685037346567043353156137753319100127314485558286403800597872522878161683560767767499265841478775204373431109632769029706550402118182154479733701600952196657878238617228278217664259295204000565001426328522185009459267854665803948473358027570575816183724637923383704918527446762222731087729907195734678576916007408368308283194811837134552731461616351251126203189062070531541313052576410226032215846798871413897607588206239879256270273440077756762424520628028722627975120011991788974666585311941530707793671264013329229154973544767905535169894986921520367761773668153483298303232475840764604282633014934174214570278583232524487304133660907643346772462781122673179651958438797986449997327994821817812663514703248895499847479711628619097536627925157540058846133722635216322077786643991433651672976733968848386136990836218731774699153963658641461991980099589595150647112488419104455521268696187705043503640937271635710646281217984405400348677587208148558768555529973
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 3,646-digit prime (238 intermediate primes).

Certified number3,646-digit prime
Certificatedownload
Certificate chainshow step 9 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566923 --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":1100000007106566923},"decimal":true,"detail":2}}'