Random Small Primes
10 to 100 digits (page 1 of 3)
A frequently asked question at the Prime Pages is the following.
I am working on a project for which I need some primes that are, say, 10 - 100 digits long, so the table that you have posted one the web is an overkill for me. Could you, please, tell me where I might go for those?
Below I give some small primes. Obviously these should not be used for cryptological uses which rely on the secrecy of the prime factors of a modulus (as they have been published here) but they will suffice for testing algorithms... I started with a string of "random" digits (created using UBASIC's irnd() function), checked for small prime divisors, and if there were none, I used APRT-CL for the primality proof.
Digits: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, (larger).
Ten random 10 digit primes
- 5915587277
- 1500450271
- 3267000013
- 5754853343
- 4093082899
- 9576890767
- 3628273133
- 2860486313
- 5463458053
- 3367900313
Ten random 20 digit primes
- 48112959837082048697
- 54673257461630679457
- 29497513910652490397
- 40206835204840513073
- 12764787846358441471
- 71755440315342536873
- 45095080578985454453
- 27542476619900900873
- 66405897020462343733
- 36413321723440003717
Ten random 30 digit primes
- 671998030559713968361666935769
- 282174488599599500573849980909
- 521419622856657689423872613771
- 362736035870515331128527330659
- 115756986668303657898962467957
- 590872612825179551336102196593
- 564819669946735512444543556507
- 513821217024129243948411056803
- 416064700201658306196320137931
- 280829369862134719390036617067
Ten random 40 digit primes
- 2425967623052370772757633156976982469681
- 1451730470513778492236629598992166035067
- 6075380529345458860144577398704761614649
- 3615415881585117908550243505309785526231
- 5992830235524142758386850633773258681119
- 4384165182867240584805930970951575013697
- 5991810554633396517767024967580894321153
- 6847944682037444681162770672798288913849
- 4146162919458530168953357282201621124057
- 5570373270183181665098052481109678989411
Ten random 50 digit primes
- 22953686867719691230002707821868552601124472329079
- 30762542250301270692051460539586166927291732754961
- 29927402397991286489627837734179186385188296382227
- 46484729803540183101830167875623788794533441216779
- 95647806479275528135733781266203904794419563064407
- 64495327731887693539738558691066839103388567300449
- 58645563317564309847334478714939069495243200674793
- 48705091355238882778842909230056712140813460157899
- 15452417011775787851951047309563159388840946309807
- 53542885039615245271174355315623704334284773568199
Ten random 60 digit primes
- 622288097498926496141095869268883999563096063592498055290461
- 610692533270508750441931226384209856405876657993997547171387
- 668486051696691190102895306426999370394054817506916629001851
- 313539589974026666385010319707341761012894704055733952484113
- 470287785858076441566723507866751092927015824834881906763507
- 361720912810755408215708460645842859722715865206816237944587
- 378348910233465647859184421334615532543749747185321634086219
- 669483106578092405936560831017556154622901950048903016651289
- 351300033958683656629281197430236951045077917074227778834807
- 511704374946917490638851104912462284144240813125071454126151
Ten random 70 digit primes
- 4669523849932130508876392554713407521319117239637943224980015676156491
- 4906275427767802358357703730938087362176142642699093827933107888253709
- 2409130781894986571956777721649968801511465915451196376269177305066867
- 7595009151080016652449223792726748985452052945413160073645842090827711
- 3822535632033509464266159811805197854872067042990716005808372194664933
- 5885903965180586669073549360644800583458138238012033647539649735017287
- 5850725702766829291491370712136286009948642125131436113342815786444567
- 4237080979868607742750808600846638318022863593147774739556427943294937
- 3773180816219384606784189538899553110499442295782576702222280384917551
- 9547848065153773335707495885453566120069130270246768806790708393909999
Ten random 80 digit primes
- 18532395500947174450709383384936679868383424444311405679463280782405796233163977
- 39688644836832882526173831577536117815818454437810437210221644553381995813014959
- 44822481511601066098713481453161748979849764719554039096395688045048053310178487
- 54875133386847519273109693154204970395475080920935355580245252923343305939004903
- 40979218404449071854385509743772465043384063785613460568705289173181846900181503
- 56181069873486948735852120493417527485226565150317825065106074926567306630125961
- 19469495355310348270990592580191998639221450743640952620236903851789700309402857
- 34263233064835421125264776608163440537925705997962346596977803462033841059628723
- 14759984361802021245410475928101669395348791811705709117374129427051861355011151
- 67120333368520272532940669112228025474970578938046280618394371551488988323794243
Ten random 90 digit primes
- 282755483533707287054752184321121345766861480697448703443857012153264407439766013042402571
- 370332600450952648802345609908335058273399487356359263038584017827194636172568988257769601
- 463199005416013829210323411514132845972525641604435693287586851332821637442813833942427923
- 374413471625854958269706803072259202131399386829497836277471117216044734280924224462969371
- 664869143773196608462001772779382650311673568542237852546715913135688434614731717844868261
- 309133826845331278722882330592890120369379620942948199356542318795450228858357445635314757
- 976522637021306403150551933319006137720124048624544172072735055780411834104862667155922841
- 635752334942676003169313626814655695963315290125751655287486460091602385142405742365191277
- 625161793954624746211679299331621567931369768944205635791355694727774487677706013842058779
- 204005728266090048777253207241416669051476369216501266754813821619984472224780876488344279
Ten random 100 digit primes
- 2074722246773485207821695222107608587480996474721117292752992589912196684750549658310084416732550077
- 2367495770217142995264827948666809233066409497699870112003149352380375124855230068487109373226251983
- 1814159566819970307982681716822107016038920170504391457462563485198126916735167260215619523429714031
- 5371393606024775251256550436773565977406724269152942136415762782810562554131599074907426010737503501
- 6513516734600035718300327211250928237178281758494417357560086828416863929270451437126021949850746381
- 5628290459057877291809182450381238927697314822133923421169378062922140081498734424133112032854812293
- 2908511952812557872434704820397229928450530253990158990550731991011846571635621025786879881561814989
- 2193992993218604310884461864618001945131790925282531768679169054389241527895222169476723691605898517
- 5202642720986189087034837832337828472969800910926501361967872059486045713145450116712488685004691423
- 7212610147295474909544523785043492409969382148186765460082500085393519556525921455588705423020751421
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