31147

Properties

Appears in sequences

• a(n) is the least prime > a(n-1) whose digits do not appear in a(n-1).at n=28A030284
• 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=17A078850
• a(1) = 2, a(n+1) = smallest prime of the form a(n) + k*prime(n+1), k >1.at n=40A085041
• Primes of the form k^2 - 7*k + 7.at n=37A089376
• a(1) = 3; for n > 1 a(n) is the least prime of form a(n-1) + k*prime(n-1) with k > 0.at n=41A095184
• Number of permutations of length n which avoid the patterns 1243, 1342, 4312.at n=10A116770
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, -1), (1, -1, 0), (1, 1, 0)}.at n=9A149202
• Number of permutations of 2 copies of 1..n avoiding adjacent step pattern up, down, up.at n=4A177557
• Prime numbers (together with one) whose representation in balanced ternary are palindromes.at n=36A224502
• Coordination sequence for (2,3,8) tiling of hyperbolic plane.at n=42A265058
• a(n) is the positive integer x such that 3^((M-1)/(2*p)) == -2^x (mod M), where p > 2 is prime, M=2^p-1 is the n-th Mersenne prime and x < p.at n=28A278792
• The first prime of 8 consecutive primes a, b, c, d, e, f, g, h such that a + g = c + e and b + h = d + f.at n=30A292618
• Lesser of 2 successive primes (k, k+4) sandwiching 3 consecutive nonsquarefree numbers.at n=19A366352
• Prime numbersat n=3354