Skip to main content
MathOverflow

Return to Answer

added 4 characters in body
Source Link
LeechLattice
LeechLattice
  • 9.5k
  • 2
  • 23
  • 57

The conjecture statedas written is false:

Let $N=194+(2*3*5*7*11*13)*2n$, $k=N-2$, where $n$ is a natural number.

Then $C(N,k)=C(N,2)=(97+2*3*5*7*11*13*n)(193+2*3*5*7*11*13*2n)$, having no prime factors $\leq 13$.

The conjecture stated is false:

Let $N=194+(2*3*5*7*11*13)*2n$, $k=N-2$, where $n$ is a natural number.

Then $C(N,k)=C(N,2)=(97+2*3*5*7*11*13*n)(193+2*3*5*7*11*13*2n)$, having no prime factors $\leq 13$.

The conjecture as written is false:

Let $N=194+(2*3*5*7*11*13)*2n$, $k=N-2$, where $n$ is a natural number.

Then $C(N,k)=C(N,2)=(97+2*3*5*7*11*13*n)(193+2*3*5*7*11*13*2n)$, having no prime factors $\leq 13$.

Source Link
LeechLattice
LeechLattice
  • 9.5k
  • 2
  • 23
  • 57

The conjecture stated is false:

Let $N=194+(2*3*5*7*11*13)*2n$, $k=N-2$, where $n$ is a natural number.

Then $C(N,k)=C(N,2)=(97+2*3*5*7*11*13*n)(193+2*3*5*7*11*13*2n)$, having no prime factors $\leq 13$.