EUDML | A rationality condition for the existence of odd perfect numbers.

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “A rationality condition for the existence of odd perfect numbers.”

On $k$ -imperfect numbers.

Zhou, Weiyi, Zhu, Long (2009)

Integers

Similarity:

On pseudoprimes having special forms and a solution of K. Szymiczek’s problem

Andrzej Rotkiewicz (2005)

Acta Mathematica Universitatis Ostraviensis

Similarity:

We use the properties of $p$ -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.

Variations on Euclid's formula for perfect numbers.

Firoozbakht, Farideh, Hasler, Maximilian F. (2010)

Journal of Integer Sequences [electronic only]

Similarity:

On $n ∣ ϕ (n) d (n) + 2$ and $n ∣ ϕ (n) σ (n) + 1$ .

Chen, Yong-Gao, Fang, Jin-Hui (2008)

Integers

Similarity:

Number of prime divisors in a product of consecutive integers

Shanta Laishram, T. N. Shorey (2004)

Acta Arithmetica

Similarity:

Prime and composite terms in Sloane's sequence A056542.

Müller, Tom (2005)

Journal of Integer Sequences [electronic only]

Similarity:

On prime divisors of remarkable sequences.

Filip, Ferdinánd, Liptai, Kálmán, Tóth, János (2006)

Annales Mathematicae et Informaticae

Similarity:

Primes in classes of the iterated totient function.

Noe, Tony D. (2008)

Journal of Integer Sequences [electronic only]

Similarity:

Generalizations of Midy's theorem on repeating decimals.

Martin, Harold W. (2007)

Integers

Similarity:

Elementary theory of numbers

Wacław Sierpiński

Similarity:

Primitive prime divisors in polynomial arithmetic dynamics.

Rice, Brian (2007)

Integers

Similarity: