Alternating sum of signs of… to Conjectures associated with…
- Alternating sum of signs of powers of \(3/2\)
- Smallest factorial containing exactly \(n\) 6's
- Number of times \(n\) occurs as a binary sub-pattern of \(n^2\)
- Smallest \(x\) such that \(\sigma(x) \bmod x = n\)
- Trajectory of 103 under the Reverse and Add! operation in base 3
- \(a(1)=1, a(2)=1, a(n)=(2^{a(n-1)} + 1)/a(n-2)\)
- Smallest \(m > 0\) such that \(n \cdot 2^m + 1\) is prime
- Least \(k > 0\) such that \((k+1)(k+2)\cdots(k+n) + 1\) is prime
- \(a(n) = \sum_{k=0}^n \binom{2k}{k}^3\)
- Number of prime powers strictly between \(n\)-th prime and \((n+1)\)-th prime
- Conjecture relating two characterizations of a set of integers.
- Denominator of \(\sum_{k=1}^n k^{\mu(k)}\)
- Primes of the form 2^n + 2^i + 1
- Smallest palindrome with exactly \(n\) divisors
- Smallest prime \(p\) such that \(p + n\) is an \(n\)-th power
- Smallest \(r\) such that (concatenation of \(n\), \(r\) times) \(\cdot 10 + 1\) is prime
- Binary representation of primes that divide a number, in decimal
- Expansion of \((1 - x)/(1 - 2 x + 3 x^2)\)
- Smallest prime formed by concatenation \(n, n-1, \dots, n-k\)
- Conjectures associated with A087719
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