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Jacob Robert Emden (4 March 1862 – 8 October 1940) [1] was a Swiss astrophysicist and meteorologist.He is best known for his book, Gaskugeln: Anwendungen der mechanischen Wärmetheorie auf kosmologische und meteorologische probleme (Gas spheres: Applications of the mechanical heat theory to cosmological and meteorological problems), published in 1907.
The original, called Mersenne's conjecture, was a statement by Marin Mersenne in his Cogitata Physico-Mathematica (1644; see e.g. Dickson 1919) that the numbers were prime for n = 2, 3, 5, 7, 13, 17, 19, 31, 67, 127 and 257 (sequence A109461 in the OEIS), and were composite for all other positive integers n ≤ 257.
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1093 is the natural number following 1092 and preceding 1094. 1093 is a prime number. Together with 1091 and 1097, it forms a prime triplet.
Cyclic numbers are related to the recurring digital representations of unit fractions.A cyclic number of length L is the digital representation of . 1/(L + 1).Conversely, if the digital period of 1/p (where p is prime) is
NGC 871 is a barred spiral galaxy in the Aries constellation. [1] Its discovery and first description was realized by William Herschel on October 14, 1784 [2] and the findings made public through his Catalogue of Nebulae and Clusters of Stars in 1786.
An odd prime p has irregular index n if and only if there are n values of k for which p divides B 2k and these ks are less than (p − 1)/2. The first irregular prime with irregular index greater than 1 is 157, which divides B 62 and B 110, so it has an irregular index 2. Clearly, the irregular index of a regular prime is 0.
4U 1700-37 is one of the stronger binary X-ray sources in the sky, and is classified as a high-mass X-ray binary.It was discovered by the Uhuru satellite. [12] The "4U" designation refers to the fourth (and final) Uhuru catalog.