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| Title: | Mathematics at DEC |
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| Moderator: | RUSURE::EDP |
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| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
701.0. "Goldbach wasn't always right!" by AKQJ10::YARBROUGH (Why is computing so labor intensive?) Fri May 08 1987 12:48
Here are two more number-theory conjectures that you may want to
investigate (Ain't microvaxen fun?):
1) [Goldbach, again] Every odd number is the sum of a prime and twice a
square (0 included); e.g. 21 = 19+2, or 13+8, or 3+18.
This is known to be false, but the exceptions are few and far between.
2) Every even number is the sum of a prime and a power of an integer. E.g.
856 = 127 + 9*9*9.
This one is undetermined. It is also true for 'most' odd integers also;
i.e., exceptions are rare.
Lynn Yarbrough
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