In mathematics, a Riesel number 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...

is instead k × 2 n − 1 {\displaystyle k\times 2^{n}-1} , then k is a Riesel number. The sequence of currently known Sierpiński numbers begins with: 78557...

be a Sierpiński number or Riesel number divisible by 2 n − 1 {\displaystyle 2n-1} , and let p {\displaystyle p} be the largest number in a set of primes...

(1112121113) and 27 (DND27) 10143 = number of partitions of 33 10176 = smallest (provable) generalized Riesel number in base 10: 10176*10n-1 is always divisible...

Lucas–Lehmer–Riesel test is a primality test for numbers of the form N = k · 2n − 1 with odd k < 2n. The test was developed by Hans Riesel and it is based...

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...

composite number 499,393 = Markov number 499,500 = Kaprekar number 500,500 = Kaprekar number, sum of first 1,000 integers 509,203 = Riesel prime 510,510...

labor union journalist Riesel number, an odd natural number k for which the integers of the form k·2n−1 are all composite Riesel Sieve, a project to prove...

have executables for CPUs, GPUs, or both; while running the Lucas–Lehmer–Riesel test, CPUs with Advanced Vector Extensions and Fused Multiply-Add instruction...

family 2 k ⋅ 509203 {\displaystyle 2^{k}\cdot 509203} is an example (See Riesel number). Since then other infinite families, of roughly the same form, have...

month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive...

Sierpinski and Riesel numbers. These are odd natural numbers k for which the formula k 2n + 1 (Sierpinski number) or k 2n − 1 (Riesel number) produces no...

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...

every Fermat number 2 2 n + 1 {\displaystyle 2^{2^{n}}+1} composite for n > 4 {\displaystyle n>4} ? Is 509,203 the lowest Riesel number? Note: These conjectures...

Tijdeman (eds.): Computational Methods in Number Theory, Vol. 154, Amsterdam, 1982, pp. 141–157. Riesel, H. Prime Numbers and Computer Methods for Factorisation...

people who lived in Riesel at the 2010 census. It is part of the Waco Metropolitan Statistical Area. Riesel, Texas, named after W.H. Riesel, one of the original...

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...

"binomial number" when they mean binomial coefficient, but this usage is not standard and is deprecated. Cunningham project Riesel 1994, p. 309 Riesel 1994...

Hans Ivar Riesel (28 May 1929 in Stockholm – 21 December 2014) was a Swedish mathematician who discovered the 18th Mersenne prime in 1957 using the computer...

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has...

In mathematics, a double Mersenne number is a Mersenne number of the form M M p = 2 2 p − 1 − 1 {\displaystyle M_{M_{p}}=2^{2^{p}-1}-1} where p is prime...

In number theory, the general number field sieve (GNFS) is the most efficient classical algorithm known for factoring integers larger than 10100. Heuristically...

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...

Given 159, the Mertens function returns 0. "Sloane's A003261 : Woodall (or Riesel) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation...

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...

highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a positive...

Chris Caldwell, The Top Twenty: Palindrome at The Prime Pages. Gary Barnes, Riesel conjectures and proofs Archived 2021-04-12 at the Wayback Machine Chris...

triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...

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...

In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that...