Nexus. A currency with a scientific Proof-of-Work.


Nexus (NXS) is a cryptocurrency that does more than send money. As a byproduct of mining, it finds dense clusters of prime numbers. Scroll down to explore some of what it's found.

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Clusters of Primes


A cluster of prime numbers is a sequence with an unusually large number of prime numbers in it. For example, the numbers 1297, 1301, 1303, and 1307 are all prime, and they're as close together as four prime numbers can be. Nexus finds similar clusters to these as a byproduct of its Prime mining channel. But with big numbers. Very big numbers.

A technical note: When we refer to prime numbers, we haven't verified that they are prime. So these are more properly termed potential primes. They pass the Fermat test at base 2, and that's all we know.

The First 1000 Blocks

In its first day, the clusters Nexus found were small. The difficulty was only 4. But despite that, the miners found eight clusters with 5 elements in them. Of those, the most dense was in block 642, which had primes at p, p+6, p+14, p+18, and p+24. The prime in question, p, was:

158383393072791179315650048763791758024612073022524440517056735
491059468235531387105228355411848828711182613326919869451189811
190900168787850152027771890213114591133520711151410123449828698
160922591625133221186718500833995703364353368595862120172637224
26421536599621447722288156751427445317631147271147907343.

That's a mouthful.

The longest clusters found by Nexus

As time went on, and the popularity of Nexus increased, the difficulty rose. The difficulty specifies the mininum number of primes needed for a successful proof-of-work. These are the 10 largest prime clusters found thus far by Nexus, with ties broken by density (most primes in the shortest distance). And, hopefully, this is just the beginning...

HeightPrimeLength Primes
1465491 10160098312080699178437865235388561174510054522292907804791638996612266089594141124685071394951839092165507104726185636649264550295758139479494229421475239609604939939039690020702219049006039863253518350726506159556645078877980659054793904223037733230197719188222982998815085624325618554342147147708965167 10 0, 2, 14, 20, 26, 32, 36, 42, 44, 50
1469146 36672858284658301694938719318500730311213726358406149366015499706648594304823941587148200478088002869339784467335994578941380601587903817609759559495975974847573738545553486727302346156708904240757824623864856929121805443718483870730764385784501341723054720534172975700517900387355214539297083964023369411 10 0, 6, 18, 20, 26, 32, 36, 38, 42, 50
1366553 14494339870411347051367518378505649713685051673900329419708794784800461751569180220378648616374259794980015317845223488828605162173460297233642512280464662957891501287206456459191133087735050864576031172689586865103815743552878232096387957937892603397493299540873438499246281049058609639272543209189503109 10 0, 10, 12, 18, 24, 30, 34, 40, 48, 52
1473570 2724119959640492705654440205054005349562603569718357934895795063798579633838988590005027899301183601928387994207973986876317976321164036303149472014654162737654395348457160512677258549862419799333960149465407744047790673033853009988064635075500721449830240809531410917547415549313559845078120031362212517 10 0, 4, 12, 16, 24, 30, 36, 40, 42, 54
1477436 629959128904094422416773049444348169637319433469258243402435902550970885365308337059163649076958652853200902825595776277657063281989840721523142462633417364055379773792828779678458391913423358605902365742138320117746708580627944095609624112121263269160849003806691774003523735238360744769508649505278029 10 0, 10, 12, 18, 24, 28, 34, 42, 52, 58
1381307 19280806527395857912880648292022855770636745105420621151311331017388261885549774608819519579654520647658877593715984316098489855419409217822110859559813919665303096835965854332268775539401210200137607314941448582790214792194832659333784552374409885304947273951147357225087348999823073354859111328044533581 10 0, 6, 18, 22, 30, 36, 42, 48, 52, 60
1408428 937723503366932604910639290379312710163261275406214248578884574091724732098819778375053641667198842474113071887114198234838351683190823361516285411718883009365213925750289232781451530480635048543770000304446155774645823180162624262750180631569478815960136438518305271366039724056014307501132597768409387 10 0, 2, 12, 14, 20, 26, 36, 44, 50, 60
1452277 3570575378728585794597869650223063528007916339582991158052658612905140695262760649534647273477255113785141156341603777576871720951693873013732007683362010309327735502381152662775884317479858174115813152992248562749536127680114743613207002535746711746288501849583711771169042705047057478127439218218952707 10 0, 12, 22, 24, 30, 36, 42, 52, 54, 64
1341679 3519146765531103336213853000532026408313742811472083661108568401020580315433964640709237495837525403825727889012649622126694684600131243372172054153408779555404302138490684425755106070206765046663686730043666873786589568608412906582678620725782660973847512002043296095453694769011271816511246473141591680777 10 0, 12, 24, 30, 36, 40, 46, 52, 54, 66
1481827 2426177721087684462666960191832575929053932581494050775865531281807044678918704726987981556050222860799891726662617412905033544690154286280264421601610800944391678565798564117297037237962552656212058249008411653005987401153421722029980513057580900380700902707162158052865055165219048415860690627365696737 10 0, 10, 12, 24, 36, 42, 46, 52, 54, 66
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Learn More


To learn more about Nexus, visit www.nexusearth.com.

To learn more about prime clusters, see Wikipedia's article about Prime K-Tuples