Number of pairs of twin primes… to Smallest power with base>1 and…
- Number of pairs of twin primes between \(n^2\) and \((n+1)^2\)
- Primality and primitive root property from divisibility \(n \mid (a(n-1) + 2^{n-2})\)
- Tug of war score between prime gap increases and decreases
- Product of composite numbers in triangular intervals
- \(\gcd(\mathrm{numerator}(H_n), n!)\)
- Recurrence \(a(n) = (a(n-1) + a(n-2)) \pmod n\)
- Coefficients in a simultaneous approximation to two polylogarithms
- Expansion of g.f. \((1+x)(3+x)/(1+6x^2+x^4)\)
- Conjectures associated with A100474
- Prime-th recurrence with reversal at each step
- Pentanacci \(\pi\) sequence
- Conjectures associated with A100800
- Conjectures associated with A101779
- Conjectures associated with A102371
- Floor of sum of \(\{n/k\}\)
- \(a(0) = 1\), \(a(n) = a(n-1)a(n-1) + 2\)
- Number of decompositions of \(2n+1\) into \(2p+q\), where \(p\) and \(q\) are both odd primes
- Fibonacci transform satisfying \(|a(n)| = F(n+1)\)
- \(a(n) = 3a(n-1) + a(n-2) - 3a(n-3)\)
- Smallest power with base>1 and exponent \(n\) without digit 0
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