In mathematics, a Riesel number is an odd natural number k for which is composite for all natural numbers n (sequence A101036 in the OEIS). In other words, when k is a Riesel number, all members of the following set are composite:
If the form is instead , then k is a Sierpinski number.
In mathematics, a Rieselnumber is an odd natural number k for which k × 2 n − 1 {\displaystyle k\times 2^{n}-1} is composite for all natural numbers n...
labor union journalist Rieselnumber, an odd natural number k for which the integers of the form k·2n−1 are all composite Riesel Sieve, a project to prove...
Riesel Sieve was a volunteer computing project, running in part on the BOINC platform. Its aim was to prove that 509,203 is the smallest Riesel number...
ISBN 0-8176-3743-5. Zbl 0821.11001. RieselnumberRiesel Sieve Tattersall, James J. (2005). Elementary Number Theory in Nine Chapters (2nd ed.). Cambridge...
Sierpinski and Riesel numbers. These are odd natural numbers k for which the formula k 2n + 1 (Sierpinski number) or k 2n − 1 (Rieselnumber) produces no...
every Fermat number 2 2 n + 1 {\displaystyle 2^{2^{n}}+1} composite for n > 4 {\displaystyle n>4} ? Is 509,203 the lowest Rieselnumber? Note: These conjectures...
In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci...
"binomial number" when they mean binomial coefficient, but this usage is not standard and is deprecated. Cunningham project Riesel 1994, p. 309 Riesel 1994...
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has...
the number 1 differently than larger numbers, sometimes even not as a number at all. Euclid, for example, defined a unit first and then a number as a...
family 2 k ⋅ 509203 {\displaystyle 2^{k}\cdot 509203} is an example (See Rieselnumber). Since then other infinite families, of roughly the same form, have...
Giblin 1993, p. 54 Riesel 1994, p. 220. Bullynck, Maarten (2010). "A history of factor tables with notes on the birth of number theory 1657–1817". Revue...
Tijdeman (eds.): Computational Methods in Number Theory, Vol. 154, Amsterdam, 1982, pp. 141–157. Riesel, H. Prime Numbers and Computer Methods for Factorisation...
earthquakes and to educate about seismology Riesel Sieve No Mathematics Prove that 509,203 is the smallest Rieselnumber by finding a prime of the form k × 2n...
Route 5; see List of highways numbered 5 Sierpinski/Riesel Base 5 Problem, a generalization of the Sierpinski and Riesel problems to base 5 SR-5, Chinese...
Springer-Verlag. doi:10.1007/978-1-4684-9316-0. ISBN 0-387-94777-9. Hans Riesel (1994). Prime Numbers and Computer Methods for Factorization. Progress in...
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are...
In number theory, the general number field sieve (GNFS) is the most efficient classical algorithm known for factoring integers larger than 10100. Heuristically...
In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy...
the acid attack which led to the blinding of newspaper columnist Victor Riesel, and for his role in creating fake labor union locals to help Jimmy Hoffa...
Fermat prime is less than one in a billion. Anders Bjorn and Hans Riesel estimated the number of square factors of Fermat numbers from F5 onward as ∑ n ≥ 5...
mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer...
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