{"id":16694,"date":"2026-11-09T09:00:00","date_gmt":"2026-11-09T08:00:00","guid":{"rendered":"https:\/\/safewave.ai\/google-deepmind-ai-agents-cut-cost-of-attacking-1024-bit-rsa-computation-3-5x-cheaper\/"},"modified":"2026-11-10T20:21:13","modified_gmt":"2026-11-10T19:21:13","slug":"google-deepmind-ai-agents-cut-cost-of-attacking-1024-bit-rsa-computation-3-5x-cheaper","status":"publish","type":"post","link":"https:\/\/safewave.ai\/en\/google-deepmind-ai-agents-cut-cost-of-attacking-1024-bit-rsa-computation-3-5x-cheaper\/","title":{"rendered":"Google DeepMind AI agents cut the cost of attacking 1024-bit RSA: computation 3.5 times cheaper"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"16694\" class=\"elementor elementor-16694 elementor-16651\" data-elementor-post-type=\"post\">\n\t\t\t\t<header class=\"elementor-element elementor-element-69a6236 e-flex e-con-boxed e-con e-parent\" data-id=\"69a6236\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-69a7cac elementor-widget elementor-widget-heading\" data-id=\"69a7cac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/safewave.ai\/en\/data-protection\/\">Data Protection<\/a><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-69a7f76 elementor-widget elementor-widget-heading\" data-id=\"69a7f76\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Google DeepMind AI agents cut the cost of attacking 1024-bit RSA: computation 3.5 times cheaper<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-69a72db elementor-widget elementor-widget-text-editor\" data-id=\"69a72db\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Google DeepMind, alongside cryptographers from UC San Diego and Inria, demonstrated that human-supervised AI agents reduce the cost of attacks against legacy 1024-bit RSA keys. Two agents designed and executed the computation in under four days using 391 CPU core-years \u2013 3.5 times less than prior research.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-69a7f83 elementor-widget elementor-widget-html\" data-id=\"69a7f83\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"sw-meta\"><li><span>Source<\/span><a href=\"https:\/\/www.securityweek.com\/google-deepminds-ai-agents-make-1024-bit-rsa-keys-cheaper-to-attack\/\" target=\"_blank\" rel=\"noopener\">SecurityWeek<\/a><\/li><li><span>Source publication<\/span>November 9, 2026<\/li><li><span>Type<\/span>AI security<\/li><\/ul>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/header>\n\t\t<article class=\"elementor-element elementor-element-69a7768 e-flex e-con-boxed e-con e-parent\" data-id=\"69a7768\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-69a7465 elementor-widget elementor-widget-text-editor\" data-id=\"69a7465\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>What happened<\/h2><p>The first paper addresses computing roots modulo N when an attacker has prior access to a signing &#8220;oracle&#8221; \u2013 in practice, a device signing data with an RSA key via a PKCS#11 interface, such as an HSM. The authors show that when an attacker controls approximately half or more of the signed block, padding ceases to provide protection. This also extends to long data in PKCS#1 v1.5 format. The 1024-bit computation itself was conducted on a &#8220;raw,&#8221; unpadded signature.<\/p><p>On the same problem instance used in prior work, obtaining the first root required 391 CPU core-years instead of 1,380. Two collaborating AI agents designed, executed, and debugged the computation in less than four days; according to SecurityWeek, the researcher sent them approximately 20 messages, consisting primarily of approvals. The attack requires roughly 4 billion advance queries to the signing device and does not recover the private key.<\/p><p>The second paper addresses the factorization of multiple keys of the same length: following an initial large precomputation, each subsequent 1024-bit key would theoretically be on average about 30 times cheaper to factor than with the best existing method. This remains a theoretical estimate \u2013 the method has not been implemented. The authors emphasize that these findings do not threaten deployed systems using RSA keys of 2048 bits or longer.<\/p><h2>Key findings<\/h2><ul><li>391 instead of 1,380 CPU core-years \u2013 3.5x reduction on the exact same problem instance.<\/li><li>Prerequisites: approximately 4 billion queries to the signing device in advance; per SecurityWeek, the method fails against devices that independently hash the message to be signed.<\/li><li>Key was not recovered; factoring it would require between 500,000 and 1,000,000 core-years according to SecurityWeek.<\/li><li>Batch factorization: roughly 30x cheaper for each subsequent key \u2013 currently theoretical.<\/li><li>RSA keys of 2048 bits and longer remain secure, according to the authors.<\/li><\/ul><h2>Why it matters<\/h2><div class=\"sw-take\"><span class=\"sw-take__k\">SafeWave Commentary<\/span>While these results do not break modern cryptography, complex cryptanalytic computations were designed and executed by AI agents in under four days, with humans primarily approving action steps. 1024-bit RSA may still persist in legacy HSMs, industrial devices, internal certificates, and code-signing workflows. Recommended actions: inventory RSA keys and certificates under 2048 bits, including those housed in HSMs; disable unpadded (raw) signature mechanisms across PKCS#11 interfaces if applications do not explicitly require them; restrict access and rate-limit key-signing calls in HSMs while monitoring for anomalous volumes; incorporate 1024-bit key deprecation into your post-quantum cryptography migration roadmap. We outlined the timelines for this migration in our analysis on <a href=\"https:\/\/safewave.ai\/en\/post-quantum-cryptography-is-no-longer-just-a-recommendation-deadlines-in-the-us-france-and-the-eu\/\">post-quantum cryptography<\/a>. Read more under <a href=\"https:\/\/safewave.ai\/en\/data-protection\/\">Data Protection<\/a>.<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/article>\n\t\t<aside class=\"elementor-element elementor-element-69a7d8c e-flex e-con-boxed e-con e-parent\" data-id=\"69a7d8c\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-69a7f4a elementor-widget elementor-widget-text-editor\" data-id=\"69a7f4a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p class=\"sw-h\">Source<\/p><ul class=\"sw-src\"><li><a href=\"https:\/\/www.securityweek.com\/google-deepminds-ai-agents-make-1024-bit-rsa-keys-cheaper-to-attack\/\" target=\"_blank\" rel=\"noopener\">SecurityWeek \u2013 Google DeepMind&#8217;s AI Agents Make 1024-Bit RSA Keys Cheaper to Attack<\/a><\/li><li><a href=\"https:\/\/storage.googleapis.com\/deepmind-media\/papers\/Faster_Affine_Root_and_a_1024bit%20Computation.pdf\" target=\"_blank\" rel=\"noopener\">Google DeepMind \u2013 Modular Roots from a Restricted Oracle: Faster Affine Roots and a 1024-bit Computation (PDF)<\/a><\/li><\/ul><p class=\"sw-rel\"><a href=\"https:\/\/safewave.ai\/en\/data-protection\/\">Area: Data Protection \u2192<\/a><a href=\"https:\/\/safewave.ai\/en\/technology-intelligence\/\">All analyses \u2192<\/a><\/p><p class=\"sw-asof\">SafeWave editorial analysis based on the cited source. Facts come from the source; the &#8220;Why it matters&#8221; section is our commentary.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/aside>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Google DeepMind AI agents completed a 1024-bit RSA computation in four days at 3.5x lower cost. 2048-bit keys remain secure.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[273],"tags":[],"class_list":["post-16694","post","type-post","status-publish","format-standard","hentry","category-data-protection"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Google DeepMind AI agents cut the cost of attacking 1024-bit RSA: computation 3.5 times cheaper &#8211; SafeWave<\/title>\n<meta name=\"description\" content=\"Google DeepMind AI agents completed a 1024-bit RSA computation in four days at 3.5x lower cost. 2048-bit keys remain secure.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/safewave.ai\/en\/google-deepmind-ai-agents-cut-cost-of-attacking-1024-bit-rsa-computation-3-5x-cheaper\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Google DeepMind AI agents cut the cost of attacking 1024-bit RSA: computation 3.5 times cheaper &#8211; 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