Odd perfect numbers have a prime factor exceeding $10^8$
From MaRDI portal
Publication:3577030
DOI10.1090/S0025-5718-08-02050-9zbMath1206.11009OpenAlexW4249249317WikidataQ56059206 ScholiaQ56059206MaRDI QIDQ3577030
Publication date: 3 August 2010
Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02050-9
Arithmetic functions; related numbers; inversion formulas (11A25) Values of arithmetic functions; tables (11Y70)
Related Items
On the number of total prime factors of an odd perfect number ⋮ Sieve methods for odd perfect numbers ⋮ Odd perfect numbers are greater than $10^{1500}$ ⋮ On the number of prime factors of an odd perfect number ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ Unnamed Item ⋮ Perfect and Deficient Perfect Numbers ⋮ An analog of perfect numbers involving the unitary totient function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New Solutions of a p - 1 ≡1 (mod p 2 )
- On the largest prime divisor of an odd harmonic number
- Odd perfect numbers have at least nine distinct prime factors
- New techniques for bounds on the total number of prime factors of an odd perfect number
- Outline of a Proof that Every Odd Perfect Number has at Least Eight Prime Factors
- Improved Techniques for Lower Bounds for Odd Perfect Numbers
- On the Largest Prime Divisor of an Odd Perfect Number. II
- The second largest prime divisor of an odd perfect number exceeds ten thousand
- Every odd perfect number has a prime factor which exceeds 10⁶
- More on the total number of prime factors of an odd perfect number
- Odd perfect numbers have a prime factor exceeding $10^{7}$
- The third largest prime divisor of an odd perfect number exceeds one hundred
- On the Largest Prime Divisor of an Odd Perfect Number
- On the Averages of the Divisors of a Number
This page was built for publication: Odd perfect numbers have a prime factor exceeding $10^8$
