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The first 3 powers of 2 with all but last digit odd is 2 4 = 16, 2 5 = 32 and 2 9 = 512. The next such power of 2 of form 2 n should have n of at least 6 digits. The only powers of 2 with all digits distinct are 2 0 = 1 to 2 15 = 32768, 2 20 = 1048576 and 2 29 = 536870912.
Publication by C. F. Gauss in Intelligenzblatt der allgemeinen Literatur-Zeitung. As 17 is a Fermat prime, the regular heptadecagon is a constructible polygon (that is, one that can be constructed using a compass and unmarked straightedge): this was shown by Carl Friedrich Gauss in 1796 at the age of 19. [1]
17 is a Leyland number [3] and Leyland prime, [4] using 2 & 3 (2 3 + 3 2) and using 4 and 5, [5] [6] using 3 & 4 (3 4 - 4 3). 17 is a Fermat prime. 17 is one of six lucky numbers of Euler. [7] Since seventeen is a Fermat prime, regular heptadecagons can be constructed with a compass and unmarked ruler.
Note that doing the operation in Montgomery form does not lose information compared to doing it in the quotient ring Z/NZ. This is a consequence of the fact that, because gcd(R, N) = 1, multiplication by R is an isomorphism on the additive group Z/NZ. For example, (7 + 15) mod 17 = 5, which in Montgomery form becomes (3 + 4) mod 17 = 7.
The F-1 saw service until replaced by the Do 17 P in 1938. Only one F-2 was ever built, it was designated D-ACZJ and was used by Zeiss-Jena Company as a factory aircraft. [25] Conversion of two E-2 series aircraft with two BMW 132F radial engines led to the Do 17 J-1 and J-2. These aircraft served as flight testing machines to evaluate the BMW ...
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The form β is called a "potential form" or "primitive" for α. Since the exterior derivative of a closed form is zero, β is not unique, but can be modified by the addition of any closed form of degree one less than that of α. Because d 2 = 0, every exact form is necessarily closed.
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