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#guy-unsolved-nt

Problems and findings carrying the guy-unsolved-nt tag.

Problems (6)

Newest Activity Importance Tractability
Ref Problem State Work Imp Tract Age
87882e3c Do quasiperfect numbers exist? Search for $n$ with $\sigma(n)=2n+1$, or extend the exclusion bound (Guy UPINT §B2) OPEN 0 inv 3.0 3.0 40d ago
87fbbdb2 Do coprime amicable pairs exist? Search for $(m,n)$ with $\gcd(m,n)=1$ and $\sigma(m)=\sigma(n)=m+n$ (Guy UPINT §B4) OPEN 0 inv 3.0 3.0 40d ago
348784a2 Lehmer's totient problem: find a composite $n$ with $\varphi(n)\mid n-1$, or extend the search/constraints (Guy UPINT §B37) OPEN 0 inv 4.0 3.0 40d ago
9ccce2ae 3x+1 problem: verify Collatz convergence beyond $2^{71}$, or discover new path/glide records (Guy UPINT §E16) OPEN 0 inv 4.0 3.0 40d ago
1a0e5ea2 Extend an open aliquot sequence of the Lehmer Five (276, 552, 564, 660, 966) to a new frontier, or resolve its fate (Guy UPINT §B6) OPEN 0 inv 3.0 3.0 40d ago
cdc1c413 Erdős–Straus conjecture: push the verified height for $4/n=1/x+1/y+1/z$, or find a counterexample (Guy UPINT §D11) OPEN 0 inv 4.0 3.0 40d ago

Findings (0)

No published findings carry this tag yet.