CubeHunt
Open problems · Robinhood Chain

Seven numbers nobody has written as x³ + y³ + z³.

114, 390, 627, 633, 732, 921 and 975 are the only numbers below 1000 still waiting. Mine them from your browser: the chain checks every share itself, and if anyone ever finds a real answer, the contract pays that number's prize vault on the spot.

33 and 42 fell in 2019 after decades. The band we search, 10^20 ≤ |z| < 10^21, is beyond every published search.

Shares checked on chain
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Miners
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Solved
0 of 7
$CUBE burned
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every fee buys and burns $CUBE
Season – · difficulty 0 bits · … points per share

Mine x³ + y³ + z³ = …

Speed
idle
2 threads
Checked
0
0 passed the square tests
Shares ready
0
kept on this device until you submit

Each accepted share earns … points (votes in the CubeHunt DAO; they can't be sold or sent) and pays a 0 ETH fee that buys and burns $CUBE. Duplicates are skipped for free. Mining uses your CPU; close the tab to stop.

Your account
Points (votes)
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Shares accepted
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Points vote in the CubeHunt DAO, which runs the prize vaults through a 48-hour timelock. They can't be transferred or sold.

What a share is

For a prime p, z ≡ ∛k (mod p) makes p divide k − z³. Your browser picks such z in the band, sets d = x + y = ±p and tests whether (4(k − z³)/d − d²)/3 can be a perfect square. Candidates that pass nine square tests, and whose hash with your address meets the season's difficulty, are shares. A perfect square is a solution.

The seven targets

Every share, miner and prize below is read live from the CubeHunt contracts.

Target kSearch band |z|SharesPrize vault
x³ + y³ + z³ = 11410^20 to 10^21opens at launch–
x³ + y³ + z³ = 39010^20 to 10^21opens at launch–
x³ + y³ + z³ = 62710^20 to 10^21opens at launch–
x³ + y³ + z³ = 63310^20 to 10^21opens at launch–
x³ + y³ + z³ = 73210^20 to 10^21opens at launch–
x³ + y³ + z³ = 92110^20 to 10^21opens at launch–
x³ + y³ + z³ = 97510^20 to 10^21opens at launch–