22067
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=23A022464
- a(n) = Sum{T(i,j)}, 0<=j<=i, 0<=i<=2n, T given by A026568.at n=10A026583
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=23A050268
- Primes p from A031924 such that A052180(primepi(p)) = 29.at n=13A052236
- Number of anisohedral polyominoes with n cells.at n=20A075206
- Balanced primes of order six.at n=19A096698
- Balanced primes of order eight.at n=29A096700
- Balanced primes of order ten.at n=9A096702
- Balanced primes (A090403) of index 3.at n=15A096707
- Primes of the form a^4 + b^3 with b>0.at n=38A100271
- Least j > 1 such that j^2 = (4*n^2 + 2)*(k^2) + (4*n^2 + 2)*k + 1.at n=17A106231
- a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=37A117081
- Primes of the form k^4 + 2*k^3 + 36*k^2 + 35*k + 23.at n=11A155815
- Number of permutations in S_{n+2} containing an increasing subsequence of length n.at n=14A217200
- Primes p such that p - 2^2, p - 4^2 and p - 6^2 are all positive primes.at n=32A246873
- Primes p such that p - m^2, m = 2, 4, 6, 8, are all (positive) primes.at n=15A246874
- Numbers that are the sum of eight fourth powers in ten or more ways.at n=17A345585
- Numbers that are the sum of eight fourth powers in exactly ten ways.at n=11A345842
- Primes having only {0, 2, 6, 7} as digits.at n=26A386051
- Prime numbersat n=2473