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The ABC conjecture has been proven as of March 18, 2026.

The ABC conjecture has not been proven in any broadly accepted sense as of March 18, 2026. While Mochizuki's proof was published by RIMS in Kyoto, leading mathematicians including Peter Scholze and Jakob Stix identified a serious, unfixable gap that remains unresolved. The RIMS publication carries a conflict of interest, and Joshi's subsequent defense is explicitly conditional on acceptance of enhancements the community has not endorsed. As of early 2026, the conjecture remains "a theorem in Kyoto, a conjecture everywhere else."

Elon Musk's AI chatbot Grok has generated sexualized deepfakes.

The claim is true. Multiple independent, high-authority news outlets — including PBS, BBC News, The Guardian, and FRANCE 24 — confirm that Elon Musk's AI chatbot Grok generated sexualized deepfake images, including of children. This triggered formal investigations by EU, UK, and US regulators. Critically, Grok itself acknowledged producing sexualized images of minors, xAI enacted policy bans on such content, and the image generator was temporarily disabled — actions that constitute corporate admissions corroborating the claim.

China's gross domestic product (GDP) will exceed that of the United States by the year 2030.

This claim is not supported by current evidence. As of 2026, the US nominal GDP (~$31.8T) exceeds China's (~$20.7T) by over $11 trillion — a gap that cannot close by 2030 at projected growth rates. The major institutions once cited for a 2030 overtake (notably CEBR) have revised their forecasts to the mid-2030s. Goldman Sachs, Citi, and CEBR now all project the overtaking around 2035–2036. China also faces structural headwinds including a shrinking workforce and declining productivity growth.

Romantic love typically lasts for three years.

The evidence does not support that romantic love “typically” lasts three years. At most, some researchers discuss an intense early “honeymoon”/passionate phase that often fades within ~18 months–3 years, but romantic love itself can persist for many years and has no fixed expiration date.

The sum of 1 and 1 is equal to 3.

The claim that "the sum of 1 and 1 is equal to 3" is unequivocally false. Every credible mathematical source confirms that 1+1=2, a foundational truth proven rigorously from the Peano axioms and formal logic. Purported "proofs" of 1+1=3 rely on hidden errors like division by zero and are presented as tricks, not valid mathematics. The cultural metaphor of "1+1=3" (e.g., a couple having a child) is a figure of speech, not an arithmetic identity.

The Earth will experience a loss of gravity for seven seconds during the solar eclipse in August 2026.

This claim is false. NASA has explicitly stated that a solar eclipse has "no unusual impact on Earth's gravity" and that Earth cannot "lose gravity" without losing mass. The claim originated from a viral social media conspiracy post. While eclipses produce tiny, ordinary tidal variations in local gravity (on the order of 0.0000178%), this is not a "loss of gravity" — and certainly not a seven-second global shutdown. No credible scientific evidence supports this claim.

Jeffrey Epstein had a connection to the creation of the animated television series SpongeBob SquarePants.

There is no credible evidence linking Jeffrey Epstein to the creation of SpongeBob SquarePants. The show was developed entirely internally at Nickelodeon by marine biologist Stephen Hillenburg following his 1997 pitch, with no external investors or unusual connections involved. Multiple fact-checkers (Snopes, PolitiFact) have investigated and debunked this claim, tracing it to manipulated maps, fabricated address coincidences, and viral conspiracy content. Epstein's general entertainment-industry contacts do not constitute evidence of involvement with this specific show.

Cleopatra lived closer in time to the first moon landing in 1969 than to the construction of the Great Pyramid of Giza.

This claim is true. Cleopatra died in 30 BCE, roughly 2,000 years before the 1969 moon landing. The Great Pyramid of Giza was completed around 2500–2570 BCE, placing it roughly 2,450–2,540 years before Cleopatra. Since the gap to the pyramid is consistently several centuries larger than the gap to the moon landing, Cleopatra indeed lived closer in time to the Apollo 11 mission than to the construction of the Great Pyramid.

Sound can have a negative decibel level.

Sound can indeed have negative decibel levels. The decibel scale uses a logarithmic ratio formula, so any sound intensity below the chosen reference point mathematically produces a negative dB value. This is confirmed by multiple academic physics sources and occurs in both digital audio systems and theoretical acoustic measurements.

Napoleon Bonaparte was shorter than the average adult male of his time.

This claim is false. Napoleon's recorded height of "5 pieds 2 pouces" was in pre-metric French units, which converts to approximately 1.67–1.69 m (about 5'7"). The average French adult male of his era stood roughly 1.64–1.65 m. Napoleon was therefore average or slightly above average height. The widespread myth stems from a unit-conversion error and British propaganda, not from historical fact. Multiple authoritative sources—including Encyclopædia Britannica and History.com—explicitly debunk this misconception.

More people are killed annually by vending machines than by sharks worldwide.

This popular claim lacks reliable support. Shark fatalities are well-documented at roughly 6–12 deaths per year worldwide. However, there is no credible, current global dataset for vending machine deaths—estimates range wildly from zero (since 2008) to 2–3 per year to an unverified "13 annually," mostly drawn from outdated U.S.-only data from the 1978–1995 era. The best available evidence suggests sharks now kill as many or more people annually worldwide than vending machines do, making this claim misleading.

Albert Einstein performed poorly in mathematics during his years as a student.

This is a well-known myth with no credible evidence behind it. Einstein's actual school records show he earned top marks in mathematics, including perfect 6/6 scores in algebra, geometry, and physics on his 1896 Swiss Matura certificate. He mastered calculus before age 15. His only notable academic setback—failing the Zurich Polytechnic entrance exam—was due to weak performance in non-science subjects like French, not mathematics. The myth likely originated from a 1935 Ripley's column and confusion over the Swiss grading scale.

The contents of the Epstein files contain evidence relevant to the Pizzagate conspiracy theory.

The Epstein files do not contain evidence relevant to Pizzagate. Multiple credible sources — including the actual court documents, FRANCE 24, and Snopes — confirm that the 900+ "pizza" mentions in the files are literal food references (restaurant visits, meal plans) with no connection to Comet Ping Pong, Podesta emails, or any Pizzagate-specific claim. The only source arguing otherwise (Zero Hedge) relies on debunked pattern-seeking logic. Congressional questioning on the topic also produced no supporting evidence.

The Tyrannosaurus Rex lived closer in time to modern humans than to the Stegosaurus.

This claim is true and well-established in paleontology. Stegosaurus lived ~150 million years ago, while T. rex lived ~68–66 million years ago — a gap of ~80–84 million years. T. rex went extinct ~66 million years ago, and modern humans appeared ~300,000 years ago — a gap of ~66 million years. Since 66 million years is less than 80–84 million years, T. rex indeed lived closer in time to us than to Stegosaurus. Multiple authoritative sources, including USGS and the Natural History Museum, confirm this.

A single day on Venus is longer than a year on Venus.

This claim is accurate under the standard definition used by NASA and other major space agencies: Venus's sidereal day (one full axial rotation) takes ~243 Earth days, while its orbital year takes only ~224.7 Earth days. However, the claim omits an important nuance: Venus's solar day (sunrise to sunrise) is only ~116.75 Earth days — shorter than its year — due to Venus's retrograde rotation. The unqualified word "day" creates ambiguity, but the dominant scientific framing supports the claim.