Hans Riesel

Q: What Schools Are Affiliated With Hans Riesel

Hans Riesel is affiliated with the following schools: Stockholm University, Uppsala University, KTH Royal Institute of Technology

Hans Riesel's AcademicInfluence.com Rankings

Hans Riesel

Mathematics

#3218

World Rank

#4800

Historical Rank

Measure Theory

#4194

World Rank

#4941

Historical Rank

mathematics Degrees

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Mathematics

Hans Riesel's Degrees

PhD Mathematics Uppsala University

Why Is Hans Riesel Influential?

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According to Wikipedia, Hans Ivar Riesel was a Swedish mathematician who discovered the 18th Mersenne prime in 1957, using the computer BESK: this prime is 23217-1 and consists of 969 digits. He held the record for the largest known prime from 1957 to 1961, when Alexander Hurwitz discovered a larger one. Riesel also discovered the Riesel numbers as well as developing the Lucas–Lehmer–Riesel test. After having worked at the Swedish Board for Computing Machinery, he was awarded his Ph.D. from Stockholm University in 1969 for his thesis Contributions to numerical number theory, and in the same year joined the Royal Institute of Technology as a senior lecturer and associate professor.

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Hans Riesel's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Prime numbers and computer methods for factorization (1985) (498)
Prime numbers and computer methods for factorization (2nd ed.) (1994) (57)
Lucasian criteria for the primality of =ℎ⋅2ⁿ-1 (1969) (49)
On sums of primes (1983) (42)
Factors of generalized Fermat numbers (1998) (24)
Prime numbers and computer methods for factorization, Second Edition (1994) (23)
Some calculations related to Riemann’s prime number formula (1970) (19)
Note on the congruence ^{-1}=1 ( ²) (1964) (10)
Note on the Congruence a p-1 ≡1 (mod p 2 ) (1964) (10)
A note on the prime numbers of the formsN=(6a+1)22n−1−1 andM=(6a−1)22n−1 (1956) (9)
Some soluble cases of the discrete logarithm problem (1988) (8)
In which order are different conditions to be examined? (1963) (7)
Some series related to infinite series given by Ramanujan (1973) (6)
Summation of double series using the Euler-Maclaurin sum formula (1996) (4)
A factor of the Fermat number (1963) (4)
Primes forming arithmetic series and clusters of large primes (1970) (4)
Modern factorization methods (1985) (4)
All Factors q < 10 8 in All Mersenne Numbers 2 p - 1, p Prime < 10 4 (1962) (4)
Some Factors of the Numbers G n = 6 2 n + 1 and H n = 10 2 n + 1 (1969) (3)
A New Mersenne Prime (1958) (3)
All factors <10⁸ in all Mersenne numbers 2^{}-1, prime <10⁴ (1962) (3)
Partitions in squares (1979) (3)
On admissible constellations of consecutive primes (1988) (3)
A note on large linear systems (1956) (3)
Common prime factors of the numbers $$A_n = a^{2^n } + 1$$ (1969) (3)
On the metric theory of nearest integer continued fractions (1987) (2)
A consequence of the von Staudt-Clausen theorem (1974) (2)
Technical Notes and Short Papers (1956) (2)
Some factors of the numbers _{}=6²ⁿ+1 and _{}=10²ⁿ+1 (1969) (2)
On the metric theory of nearest integer continued fractions (1988) (2)
Table errata to "Factors of generalized Fermat numbers" (2005) (2)
An "exact" formula for the 2n-th Bernoulli number (1975) (2)
A case of numerical divergence (1961) (1)
A randomly generated program for automatic identity checking (1975) (1)
Note on the congruence $a\sp{p-1}=1$ $({\rm mod}$ $p\sp{2})$ (1964) (0)
Subtleties in the Distribution of Primes (2011) (0)
Corrigenda: “Some factors of the numbers _{}=6²ⁿ+1 and _{}=10²ⁿ+1” (1970) (0)
Errata to: ``Factors of generalized Fermat numbers'' [Math. Comp. 67 (1998), no. 221, 441--446; MR1433262] (2005) (0)
Prime Numbers and Cryptography (2011) (0)
Corrigenda: ‘‘Some factors of the numbers $G\sb{n}=6\sp{2n}+1$ and $H\sb{n}=10\sp{2n}+1$” (1970) (0)
Table errata : Factors of generalized Fermat numbers [Math. Comp. 67 (1998), 441--446] (2005) (0)
On a property of the minimal universal exponent, λ(x) (1962) (0)
The Number of Primes Below a Given Limit (2011) (0)
Some factors of the numbers $G\sb{n}=6\sp{2n}+1$ and $H\sb{n}=10\sp{2n}+1$ (1969) (0)
FACTORS OF GENERALIZED FERMAT NUMBERS (vol 67, pg 441, 1998) : Table errata 2 (2011) (0)
Table errata 2 to "Factors of generalized Fermat numbers" (2011) (0)
The Recognition of Primes (2011) (0)
Classical Methods of Factorization (2011) (0)
The Primes Viewed at Large (2011) (0)
A continued fraction algorithm (1967) (0)

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What Schools Are Affiliated With Hans Riesel?

Hans Riesel is affiliated with the following schools:

Hans Riesel's Academic­Influence.com Rankings