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Today's mathematicians would probably agree that the Riemann Hypothesis is the most significant open problem in all of math. It's one of the seven Millennium Prize Problems, with $1 million reward for its solution.
Wooden knife blocks may be a more common storage option, but they're far from the best way to store knives. Storing knives in wood blocks is more...
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Of the roughly 200 Air Force Cross recipients, only 24 are enlisted rank, of which 12 are Pararescuemen. ... United States Air Force Pararescue....
Read More »Together with Goldbach’s, the Twin Prime Conjecture is the most famous in Number Theory—or the study of natural numbers and their properties, frequently involving prime numbers. Since you've known these numbers since grade school, stating the conjectures is easy. When two primes have a difference of 2, they’re called twin primes. So 11 and 13 are twin primes, as are 599 and 601. Now, it's a Day 1 Number Theory fact that there are infinitely many prime numbers. So, are there infinitely many twin primes? The Twin Prime Conjecture says yes. Let’s go a bit deeper. The first in a pair of twin primes is, with one exception, always 1 less than a multiple of 6. And so the second twin prime is always 1 more than a multiple of 6. You can understand why, if you’re ready to follow a bit of heady Number Theory. All primes after 2 are odd. Even numbers are always 0, 2, or 4 more than a multiple of 6, while odd numbers are always 1, 3, or 5 more than a multiple of 6. Well, one of those three possibilities for odd numbers causes an issue. If a number is 3 more than a multiple of 6, then it has a factor of 3. Having a factor of 3 means a number isn’t prime (with the sole exception of 3 itself). And that's why every third odd number can't be prime. How’s your head after that paragraph? Now imagine the headaches of everyone who has tried to solve this problem in the last 170 years. The good news is that we’ve made some promising progress in the last decade. Mathematicians have managed to tackle closer and closer versions of the Twin Prime Conjecture. This was their idea: Trouble proving there are infinitely many primes with a difference of 2? How about proving there are infinitely many primes with a difference of 70,000,000? That was cleverly proven in 2013 by Yitang Zhang at the University of New Hampshire. For the last six years, mathematicians have been improving that number in Zhang’s proof, from millions down to hundreds. Taking it down all the way to 2 will be the solution to the Twin Prime Conjecture. The closest we’ve come—given some subtle technical assumptions—is 6. Time will tell if the last step from 6 to 2 is right around the corner, or if that last part will challenge mathematicians for decades longer.
Special Processed American Meat SPAM is an acronym: Special Processed American Meat.
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There are more than 2 million uninhabited islands in the world. Some are protected as nature reserves, while some are owned by private individuals...
Read More »Teeth Teeth are the ONLY body part that cannot repair themselves. Repairing means either regrowing what was lost or replacing it with scar tissue. Our teeth cannot do that. Our brain for example will not regrow damaged brain cells but can repair an area by laying down other scar-type tissue .
Average clothing cost per month: $120 The average household's cost for clothing per month is about $120 (that's $1,434 per year). That number...
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The National Renewable Energy Laboratory found that on average, solar panels deteriorate by about 0.5% per year. This means that at the end of 20...
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Many Christians are interested to know whether or not playing video games is sinful. Playing video games isn't inherently sinful, as the technology...
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To combat this, you need to make sure your shed is raised off the ground. People often use an impermeable material such as concrete, as it makes a...
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