41227

Properties

Appears in sequences

• a(n) is square mod a(i), i < n; a(n) prime; a(1) = 2.at n=13A034900
• Denominators of continued fraction convergents to sqrt(586).at n=13A042123
• Fourth term of strong prime sextets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=13A054816
• Primes p(x) satisfying the following conditions: (a) A082882(x)=1; (b) {p(x),p(x+1)} are not twin primes; (c) values of A075860(j) for j composites between these two non-twin primes are identical.at n=14A082883
• Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=41A092475
• 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, 0), (-1, -1, 1), (0, 1, -1), (1, 0, 0), (1, 1, 1)}.at n=8A150596
• Primes p such that p^4-p^3+1 and p^4-p^3-1 are also primes.at n=16A238136
• a(n) = number of new distinct proper angles with vertex and legs on grid points in an n X n square grid that were not found in an (n-1) X (n-1) square grid.at n=44A252592
• a(n) is the least k such that [mu(k), mu(k+1), ..., mu(k+n-1)] forms a palindrome, where mu = A008683.at n=22A293041
• Discriminants of imaginary quadratic fields with class number 31 (negated).at n=37A351669
• Prime numbersat n=4316