There Are Infinitely Many Mersnne Composite Numbers with Prime Exponents
نویسندگان
چکیده
منابع مشابه
There Are Infinitely Many Prime Twins
Here we will show that T (s)− B2(s − 1) −1 can be continuously extended onto the line Re s = 1, (Th.1). This enables application of the powerful complex Tauberian theorem of Wiener and Ikehara (1931) and then almost immediately yields our main result, (Th.2). The ideas basic to our proof of Th.1 are plain: We are striving to exhibit a relation between T (s) and the Riemann Zeta function ζ(s); m...
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Is this observation a true fact? Certainly it is easy to verify that no matter where you look among the numbers you find plenty of primes. From a scientific point of view you can do billions of experiments with your mathematical package and always find primes. It can be tested more often and more precisely than any law of physics. You can safely bet the family farm on this and still sleep sound...
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Mohammed Ben Alhocain, in an Arab manuscript of the 10th century, stated that the principal object of the theory of rational right triangles is to find a square that when increased or diminished by a certain number, m becomes a square [Dickson LE (1971) History of the Theory of Numbers (Chelsea, New York), Vol 2, Chap 16]. In modern language, this object is to find a rational point of infinite ...
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ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2018
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2018.87041