The largest prime below 1,000,000,000,000 is 999999999989 Surprisingly closer
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That's also Pyhtagorean 999999999989=881842²+471545²
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The smallest prime above 1,000,000,000 is 1,000,000,007.
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Competitive Programmers have a great affinity to this number .
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It's Pythagorean prime (one more than multiple of four ∴ can be expressed as sum of two squares). 999999937 = 30336² + 8929²
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Slightly surprised at Pythagoras' name being appended to this, given that this comes from Fermat's theorem on sums of two squares
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Prove it!
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Incidentally, the largest prime below 100,000 feet is Irkuk Tragocanth’s yak, Changmai, near Lhasa in Tibet. It weighed over 2,000 pounds and fed his village for weeks with meat and yak butter tea.
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Largest prime above 1,000,000,000 is 1,000,000,007
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Smallest*
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