Odd OPN coincidence concerning restrictions

jasong · 2006-02-24, 22:00

Found here.

Quote:

The largest three [primes] must be at least 10000019, 10007, and 101.

These 3 numbers, especially the first 2, seem to be inordinately close to 10^x where x is a whole number. If this is a coincidence, I consider it to be a very peculiar one.

philmoore · 2006-02-24, 23:45

Only a coincidence in that the researchers proved that the largest prime must be greater than 10^7, the second largest prime must be greater than 10^4, and the third must be greater than 10^2. With greater computing resources, these limits could undoubtedly be pushed higher, but it was decided to stop at a power of 10 in each case.

jasong · 2006-02-26, 19:30

Quote:

Originally Posted by philmoore

Only a coincidence in that the researchers proved that the largest prime must be greater than 10^7, the second largest prime must be greater than 10^4, and the third must be greater than 10^2. With greater computing resources, these limits could undoubtedly be pushed higher, but it was decided to stop at a power of 10 in each case.

I didn't realize it was intentional. Sorry for cluttering the boards.

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2006-02-24, 23:45	#2
philmoore "Phil" Sep 2002 Tracktown, U.S.A. 2⁵×5×7 Posts	Only a coincidence in that the researchers proved that the largest prime must be greater than 10^7, the second largest prime must be greater than 10^4, and the third must be greater than 10^2. With greater computing resources, these limits could undoubtedly be pushed higher, but it was decided to stop at a power of 10 in each case.