OpenAI Publishes Proof Refuting Erdős's Conjecture
OpenAI's internal general-purpose reasoning model has generated a proof that refutes the planar unit distance conjecture proposed by Paul Erdős. This model announced a construction related to the conjecture raised by Erdős in 1946 on May 20. The planar unit distance problem is a combinatorial geometry question that asks how many pairs of points can be placed on a plane such that each pair is exactly one unit apart. The published proof demonstrated that for any positive δ, it is possible to create at least n^(1+δ) unit distance pairs for infinitely many n. Professor Will Sawin from Princeton University proved that δ could be set to 0.014 during the subsequent refinement process. External mathematicians, including Noam Alon and Thomas Bloom, reviewed the counterexamples generated by the model and published a companion paper. Mathematician Gowers described this result as a 'milestone in AI mathematics.' OpenAI submitted proof attempts for ten problems on February 20, determining a high likelihood of correct answers for problems 4, 5, 6, 9, and 10. However, this achievement is unrelated to blockchain or cryptocurrency, and there is no evidence that AI has attacked the signature systems of Bitcoin or Ethereum. The cryptography community is currently working on transitions to address the threats posed by quantum computers, and NIST is expected to approve three post-quantum cryptography standards on August 13, 2024.
-- Price
This content is provided for general informational purposes only and doesn't constitute financial, investment, legal, or tax advice. Any events, rewards, online promotions, or related information mentioned herein should not be considered a recommendation, solicitation, or invitation to purchase, sell, trade, or otherwise deal in any crypto assets. Crypto assets are highly volatile and may result in loss. The availability of WEEX services, products, and related events may vary by region. You are responsible for ensuring that your participation is in accordance with applicable local laws and regulations.
You may also like

Mysterious $23 Million Bitcoin-Monero Swap: The Viral Video That Raises Questions

Increase in Dollar Bullish Bets to 57.2%

Bitcoin’s bottom signal is flashing, but six months of data shows a trap waiting for early buyers

USDT, USDC supply increases by 1.7 billion in August 2026

New Zealand ACT party proposes tax exemption for long-held crypto gains

$7 Billion Investment in Gold and Bitcoin Funds in 5 Days

Bitmine Generates 98% of Revenue from Ethereum Staking

Is the Jackson Hole central bank retreat now a crypto conference?

HAM Launches Hedged Bitcoin ETF HBIT

Grayscale Claims ZEC Has Potential to Challenge Bitcoin's Market Share

Loss of $5,699,22 Due to Weak Recovery Phrase

Hammack Emphasizes Fed Independence and Need for Rate Hikes

Coinbase Opens Real Estate to Millions of Bitcoin Holders

Reduction in Institutional Fund Outflows in July, ETF Rebounds at Month-End

Genius Group Announces $1.2 Billion Capital Plan to Fund AI Treasury and Bitcoin Treasury

Bitcoin Holds Steady at $80,000 as Traders Focus on Walsh's Speech

Banking Processing in the New Reality: Digital Ruble and Cryptocurrencies for Foreign Trade

Tether's Bitcoin Mining Operation in Uruguay Halted Due to Power Contract Dispute

Postquant Labs launches the first quantum cross-chain swaps

Shiba Inu Registered with Laser Digital Japan

NVIDIA-Linked Contract Depth Reaches $4.1 Million, Equivalent to 75% of BTC Spot Market

Investor Becomes Multimillionaire After Recovering 61 Bitcoins Purchased in 2011

Alpha Modus Plans to Add Over $200 Million in Bitcoin Assets

$4 Billion Buyback: Scott Bessent's Trust Under Scrutiny

Bitcoin Treasuries: $80 Billion Lost, a Model Under Pressure

Sparrow Wallet Releases v2.5.4 Security Update, Expands Independent Verification Scope

Bitcoin's Realized Cap Impulse Indicator Turns Positive, Signs of On-Chain Fund Flow Recovery Emerge

JAN3 CEO advocates for 'Bitcoin Signing Device' terminology

Moonwell Loses 8.7 Million Due to Price Manipulation









