Two conjectures on primes dividing 2a + 2b + 1
نویسندگان
چکیده
منابع مشابه
Verifying Two Conjectures on Generalized Elite Primes
A prime number p is called b-elite if only finitely many generalized Fermat numbers Fb,n = b 2 + 1 are quadratic residues modulo p. Let p be a prime. Write p − 1 = 2h with r ≥ 0 and h odd. Define the length of the b-Fermat period of p to be the minimal natural number L such that Fb,r+L ≡ Fb,r (mod p). Recently Müller and Reinhart derived three conjectures on b-elite primes, two of them being th...
متن کاملSome More Conjectures on Primes and Divisors
There are an innumerable numbers of conjctures and WlSOlved problems in number theory predominantly on primes which have been giving sleepless nights to the mathematicians allover the world for centuries. Here are a few more to trouble them. (1) Every even number can be expressed as the difference of two primes. (2) Every even number can be expressed as the diference of two consecutive primes. ...
متن کاملSome conjectures on the gaps between consecutive primes
Five conjectures on the gaps between consecutive primes are formulated One expresses the number of twins below a given bound directly by N These conjectures are compared with the computer results and a good agre ement is found Introduction In Hardy and Littlewood have proposed about conjectures The con jecture B of their paper states There are in nitely many primes pairs p p where p p d for eve...
متن کاملGeneralized Newman Phenomena and Digit Conjectures on Primes
Recommended by Wee Teck Gan We prove that the ratio of the Newman sum over numbers multiple of a fixed integer, which is not a multiple of 3, and the Newman sum over numbers multiple of a fixed integer divisible by 3 is o1 when the upper limit of summing tends to infinity. We also discuss a connection of our results with a digit conjecture on primes.
متن کاملSome Conjectures on the Gaps between Consecutive Primes Marek Wolf
Five conjectures on the gaps between consecutive primes are formulated. One expresses the number of twins below a given bound directly by (N). These conjectures are compared with the computer results and a good agreement is found.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Elemente der Mathematik
سال: 2004
ISSN: 0013-6018,1420-8962
DOI: 10.1007/s00017-004-0211-x