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
1577697 18579268432733773543300208379714666256974564392384873162103733665283835685124085546860257026735137253243657897954864542796464516448217833462838773626482280438865706330574100340736301836507866084184066720110809970306489686445572325325244622645615104542611427479399768388010676296689127436787085332703779 11 0, 10, 12, 18, 24, 28, 30, 34, 42, 48, 52
1632416 3677742950302760198233601508683799231587154899462038938391359776509684082743415781642694442534270942147444199221292963340491539036799049410782417633915233341563215771153173293653279370402469899659018676294738421751623371446280471171593777833858217800885125128948179027793398966078231644963249642997007 11 0, 12, 22, 24, 30, 36, 40, 42, 54, 60, 64
1642299 131566306764541035399893871510125395071433967361250953236801555677688116128527535044176665932141903982111424788836306367211668610901239747123898779381820857670159916694663126824945405052663514968011413379671430511983970284788323669609040028813211474840170294363983493481951535893253348628487018090253911 11 0, 6, 10, 18, 30, 36, 42, 46, 48, 58, 70
1776226 4325122434322340859774618568671782232777130699081495085800010352809076224284298801982708841606693538880547114126630680932060804416515838654567232930663139548577388102505645705071291264604547500031422352071227180370726427685064711519413638629384420842494456774468910980123235955037343932047533754460732407837 10 0, 6, 12, 14, 20, 24, 26, 30, 42, 44
1768959 1348730774979017028862824785398919022051071789602137269531418033613497487282355840670038745985539683047376933623710303408200094585341284680061829555549693656616834435883376634813955591312058703789510286943151588048811641461686773484627857269331353830260963104408632524308148679527669770056653886763759 10 0, 4, 12, 24, 28, 30, 34, 40, 42, 48
1915701 5223689344715581216100513570946473841146313017005483977803286150922971077414441382713575297252010430684092026405988275439582707012372601221778168729012142106244682463936155028827822555000277408377972797244715629615970437211306830714147986735191743954352288107940460670496884927736132707038998677934069 10 0, 4, 10, 12, 18, 24, 28, 30, 40, 48
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
1647395 3331329508332750461442306241818419341316201862084181827067792676315701054649300195037880497620860792053120370229167071189112118806639816220299793189666902093557270363499976813936980662020012599193863493305385393040928634773027314373288480430235222817419554020378921034674325143368260740231522814240471 10 0, 6, 8, 18, 20, 32, 36, 38, 42, 50
1730680 146047025225038616720358568012635197888915788093854456773729983436310830465241314900275450808140004873389739550780184565620692286924596662361252652314312987449448500536730906383846393453495332620801766111037499902902991682401581133380392466809150095537671585442735264195349631495760436612906132118316880145971 10 0, 6, 8, 18, 20, 26, 36, 38, 48, 50
Go Farther.

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