32057
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that 2^k - 15 is prime.at n=28A059612
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern.at n=36A078847
- Depression-type primes with five digits; from left to right digits decrease to and increase from the central digit.at n=14A157083
- Strong primes p: adding 2 to any one digit of p produces a prime number (no digits 8 & 9 in p).at n=15A158641
- Initial members of prime triples (p, p+2, p+6) for which also the sum 3p+8 is prime.at n=37A162001
- Lesser of twin primes p such that 6*p+1 is greater of twin primes.at n=15A176131
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k nonincreasing cycles (0<=k<=floor(n/3)). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1) < b(2) < b(3) < ... .at n=16A186756
- Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=24A187057
- Initial primes of 5 consecutive primes with consecutive gaps 2, 4, 6, 8.at n=10A190814
- Prime numbers p such that x^2 + x + p produces primes for x = 0..4 but not x = 5.at n=13A210363
- a(n) = the first member of a twin prime pair whose sum equals the sums of n consecutive pairs of twin primes.at n=41A226719
- Primes p with p + 2, p + 6 and prime(p) + 6 all prime.at n=28A236509
- Primes of the form n^2 + 16.at n=29A243451
- Smallest of four consecutive primes in arithmetic progression with common difference 42 and all digit sums prime.at n=19A277607
- Number of dominating sets in the n-triangular honeycomb queen graph.at n=4A289876
- Number of dominating sets in the n-triangular graph.at n=4A290847
- Primes p such that A001175(p) = 2*(p+1)/9.at n=23A308786
- Primes of the form p^2 + 16 where p is prime.at n=9A321890
- Odd numbers k such that the four consecutive odd numbers starting with k have a total of 5 prime factors counting multiplicity.at n=40A328489
- Number of unoriented polyomino rings of length 2n with twofold rotational symmetry.at n=18A348402