52361
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that in k and k^2 the parity of digits alternates.at n=44A030153
- Smallest prime p such that the maximum run length of consecutive quadratic nonresidues modulo p is n.at n=29A129201
- a(n) = 1 + (6 + (11 + (6 + n)*n)*n)*n/24.at n=32A145126
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1010-1111-1000 pattern in any orientation.at n=10A146649
- Primes of the form 2*n^2 + 62*n + 29.at n=34A243891
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 645", based on the 5-celled von Neumann neighborhood.at n=33A273316
- The set S of primes q satisfying certain conditions (see Müller, 2010 for precise definition).at n=13A275739
- Primes equal to a pentagonal number plus 1.at n=33A285789
- Number of compositions (ordered partitions) of n into parts with an even number of distinct prime divisors.at n=39A286225
- Lesser of twin primes for which phi(p-1) < phi(p+1).at n=12A286715
- Number of permutations of [n] avoiding {4231, 1324, 1234}.at n=12A294763
- Lesser of twin primes p >= 5 for which phi(p+1)/phi(p-1) reaches record value, where phi(n) is the Euler totient function (A000010).at n=5A326356
- Prime numbersat n=5350