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  1. Vor einem Tag · The largest pair of prime number twins found so far is: 2,996,863,034,895 x 2 1,290,000 + 1 and 2,996,863,034,895 x 2 1,290,000 – 1, both numbers with 388,342 digits. A computer-aided search ...

  2. Vor 4 Tagen · be a polynomial over Z Z satisfying the condition that f(Q) =Q f ( Q) = Q with aN ≠ 0 a N ≠ 0 and N ≥ 2 N ≥ 2. By possibly replacing f f by −f − f one can assume that aN > 0 a N > 0. Then for some a a large enough, f f is increasing on [a, ∞) [ a, ∞).

  3. Vor 3 Tagen · A classic conjecture of Gauss, which also goes by the name of "Class Number One Problem", asserts that there are infinitely many primes p ≡ 1 (mod 4) p ≡ 1 ( mod 4) such that the quadratic field Q( p–√) Q ( p) has class number equal to one. This is of course still open. What if we widen the net to include ALL number fields?

  4. Vor 4 Tagen · If at least one of the square roots x−−√ x, y√ y and z√ z is irrational, no integer solution is possible for odd n > 2 n > 2. If all square roots x−−√ x, y√ y and z√ z are integers, equation above represents an even degree.

  5. Vor 3 Tagen · Sieve of Eratosthenes is a simple and ancient algorithm used to find the prime numbers up to any given limit. It is one of the most efficient ways to find small prime numbers.

  6. Vor einem Tag · Fermat–Catalan conjecture. In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many ...

  7. en.wikipedia.org › wiki › Prime_numberPrime number - Wikipedia

    Vor 2 Tagen · Definition and examples. A natural number (1, 2, 3, 4, 5, 6, etc.) is called a prime number (or a prime) if it is greater than 1 and cannot be written as the product of two smaller natural numbers. The numbers greater than 1 that are not prime are called composite numbers. [2] .