31177
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Convolution of A023531 and Lucas numbers.at n=21A023558
- When cubed gives number composed just of the digits 0, 1, 2, 3, 4.at n=26A048792
- Number of conjugacy classes in the symmetric group S_n that have even number of elements.at n=38A060643
- Numbers prime(k) such that A068863(k) = prime(k).at n=25A068868
- Let r, s, t be three permutations of the set { 1, 2, 3, ..., n }; a(n) = minimal value of Sum_{i=1..n} r(i)*s(i)*t(i).at n=25A070735
- 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 d-pattern=[4,2,6]; short d-string notation of pattern = [426].at n=18A078850
- Primes p such that the differences between the 5 consecutive primes starting with p are (4,2,6,4).at n=3A078953
- Duplicate of A068868.at n=25A085136
- Primes p such that p's set of distinct digits is {1,3,7}.at n=21A108382
- Prime numbers p such that p +- ((p-1)/6) are primes.at n=32A137724
- Larger of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=11A153405
- Primes of the form T(k) + S(k) + 1 where T(k) is the k-th triangular number and S(k) is the k-th square number.at n=30A229080
- G.f. satisfies: A(x) = Sum_{n>=0} x^n * Sum_{k=0..n} binomial(n,k) * (A(x)^k + x^k)^k * x^(k*(n-k)).at n=7A245108
- Numbers m such that the largest digit of m^3 is 4.at n=10A294664
- Expansion of Product_{k>=1} (1 + C(k)*x^k), where C(k) is the Catalan number A000108.at n=10A318264
- Happy Honaker primes.at n=29A343192
- Primes p such that the polynomial x^7 - 7*x + 3 (mod p) is the product of seven linear factors.at n=17A358147
- Number of integer partitions of n having no permutation with all equal run-sums.at n=39A383096
- Primes p such that p + 4, p + 12 and p + 16 are also primes.at n=20A384298
- Prime numbersat n=3358