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Destiny freedom's user avatar
Destiny freedom's user avatar
Destiny freedom
  • Member for 9 years, 6 months
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 Yearling
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If $\binom{2p}{p}$ is $(-1)^{p-1} \bmod 2p+1$ is then $2p+1$ prime?
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 Editor
revised
Do more generalizations of Schur's inequality exist?
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asked
Do more generalizations of Schur's inequality exist?
comment
If $\binom{2p}{p}$ is $(-1)^{p-1} \bmod 2p+1$ is then $2p+1$ prime?
for $p=1093^2$,I found can by hand ,Note $1093^2|2^{1092}-1$,so $(2\cdot 1093^2+1)|(\binom{2\cdot 1093^2}{1093^2}+1$
comment
If $\binom{2p}{p}$ is $(-1)^{p-1} \bmod 2p+1$ is then $2p+1$ prime?
can you prove $(2953\times 2+1)|\binom{2\cdot 2953}{2953}+1$ by hand?
asked
If $\binom{2p}{p}$ is $(-1)^{p-1} \bmod 2p+1$ is then $2p+1$ prime?
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 Supporter
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 Student
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 Scholar
accepted
Is it possible that $(a,b,c)$, $(x,y,a)$, $(p,q,b)$ are Pythagorean triples simultaneously?
asked
Is it possible that $(a,b,c)$, $(x,y,a)$, $(p,q,b)$ are Pythagorean triples simultaneously?