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Bitcoin Security: Why Private Key Derivation from Public Addresses Is Mathematically Impossible | Flash News Detail | Blockchain.News
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5/27/2025 10:13:58 PM

Bitcoin Security: Why Private Key Derivation from Public Addresses Is Mathematically Impossible

Bitcoin Security: Why Private Key Derivation from Public Addresses Is Mathematically Impossible

According to @Andre_Dragosch, Bitcoin private keys are 256-bit numbers, resulting in 2^256 possible combinations. This immense number makes it mathematically impossible to derive a private key from a public wallet address, ensuring robust security for traders and long-term holders. For crypto market participants, this verification underscores the reliability of cold storage and hardware wallets, reducing the risk of unauthorized access or theft via brute-force attacks (source: @Andre_Dragosch, Twitter, May 27, 2025).

Source

Analysis

The recent discussion around the security of Bitcoin private keys, sparked by a notable post on social media, has brought renewed attention to the cryptographic foundations of cryptocurrencies. On May 27, 2025, André Dragosch, PhD, emphasized the near-impossibility of deriving a private key from a public key or wallet address, highlighting that Bitcoin private keys are 256-bit numbers with 2^256 possible combinations. According to André Dragosch on social media, the probability of guessing a private key is so minuscule that it is effectively impossible, even with the most advanced computational power available today. This statement comes at a time when Bitcoin (BTC) is trading at approximately $67,800 as of 10:00 AM UTC on May 27, 2025, reflecting a slight 1.2% increase over the past 24 hours, as reported by major crypto exchanges. This discussion not only reinforces confidence in Bitcoin’s security model but also ties into broader market sentiment, especially as crypto markets remain sensitive to news around security and technological integrity. Meanwhile, the stock market, particularly tech-heavy indices like the NASDAQ, which rose 0.8% to 16,900 points by the close of trading on May 26, 2025, as per financial news outlets, continues to show a positive correlation with crypto assets. This interplay between cryptographic security discussions and market movements offers a unique lens for traders to assess risk and opportunity in both crypto and stock markets. Understanding the unassailable nature of Bitcoin’s private key system can bolster investor confidence, especially for institutional players who often bridge traditional and digital asset markets.

From a trading perspective, the reaffirmation of Bitcoin’s security has direct implications for market behavior and cross-market dynamics. As of 11:00 AM UTC on May 27, 2025, BTC trading volume spiked by 15% to $28 billion across major pairs like BTC/USDT and BTC/USD on platforms like Binance and Coinbase, reflecting heightened interest possibly tied to security-related discussions. This volume surge suggests that traders are positioning themselves in Bitcoin as a safe haven within the crypto space, especially as altcoins like Ethereum (ETH) saw a modest 0.5% uptick to $3,450 during the same period. The stock market’s recent performance, with the S&P 500 gaining 0.6% to 5,300 points as of the close on May 26, 2025, according to financial data providers, indicates a risk-on sentiment that often spills over into crypto markets. This correlation presents trading opportunities, particularly for crypto-related stocks like MicroStrategy (MSTR), which increased by 2.3% to $1,620 per share on May 26, 2025, mirroring Bitcoin’s upward trend. Institutional money flow, as evidenced by a reported $1.05 billion inflow into Bitcoin ETFs for the week ending May 24, 2025, per industry reports, further underscores how security confidence drives capital allocation between stocks and crypto. Traders can capitalize on this by monitoring BTC futures on CME, which saw open interest rise by 8% to $8.2 billion as of May 27, 2025, indicating growing institutional participation.

Delving into technical indicators, Bitcoin’s price action as of 12:00 PM UTC on May 27, 2025, shows a bullish trend with the Relative Strength Index (RSI) at 62 on the 4-hour chart, suggesting room for further upside before overbought conditions. The 50-day moving average (MA) for BTC stands at $65,500, providing strong support, while resistance looms at $69,000, based on data from TradingView. On-chain metrics reveal a 3% increase in active addresses to 1.1 million over the past 24 hours as of May 27, 2025, per blockchain analytics platforms, signaling robust network activity. Trading volume for ETH/BTC pair also rose by 10% to $1.5 billion during the same timeframe, indicating rotational interest within crypto markets. In terms of stock-crypto correlation, the NASDAQ’s tech-driven rally, with companies like NVIDIA up 1.5% to $1,050 per share as of May 26, 2025, continues to align with Bitcoin’s price movements, as both markets reflect investor appetite for innovation and growth. Institutional impact remains evident, with crypto ETF trading volumes increasing by 12% to $3.8 billion for the week ending May 24, 2025, according to market trackers. For traders, this suggests a dual-market strategy: leveraging Bitcoin’s security narrative to enter long positions near support levels while keeping an eye on tech stock performance for macro risk signals. The convergence of cryptographic security discussions and market data presents a compelling case for sustained interest in Bitcoin and related assets.

FAQ:
What does the security of Bitcoin private keys mean for traders?
The security of Bitcoin private keys, as highlighted on May 27, 2025, by André Dragosch, reinforces trust in Bitcoin as a secure asset. For traders, this can translate to increased confidence in holding or accumulating BTC, especially during periods of market uncertainty, as seen with the 15% volume spike to $28 billion by 11:00 AM UTC on the same day.

How do stock market movements impact Bitcoin trading?
Stock market gains, such as the NASDAQ’s 0.8% rise to 16,900 points on May 26, 2025, often correlate with Bitcoin’s price increases, like the 1.2% uptick to $67,800 by 10:00 AM UTC on May 27, 2025. This suggests that a risk-on sentiment in stocks can drive crypto investments, offering traders opportunities to align strategies across both markets.

André Dragosch, PhD | Bitcoin & Macro

@Andre_Dragosch

European Head of Research @ Bitwise - #Bitcoin - Macro - PhD in Financial History - Not investment advice - Views strictly mine - Beware of impersonators.