27917

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 71.at n=27A020410
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 17.at n=13A031605
• Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=23A050266
• Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=33A050968
• Primes p such that 2^j+p^j are primes for j=0,1,2,4.at n=11A094487
• Primes of the form p^3 + q^3 + r^3, where p, q and r are primes.at n=35A123597
• Number of base 27 n-digit numbers with adjacent digits differing by five or less.at n=4A126548
• Prime numbers n such that n = p1^3 + p2^3 + p3^3, a sum of cubes of 3 distinct prime numbers.at n=13A137365
• Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime.at n=13A137366
• a(n) is the minimal prime of the form 4k+1 for which s=A008784(n) is the minimal positive integer such that s*a(n)-floor(sqrt(s*a(n)))^2 is a square.at n=12A145215
• 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, 1), (-1, 0, 1), (1, 1, 0)}.at n=11A148523
• Primes p such that 2*p^3-+15 are also prime.at n=36A174364
• Lesser of twin primes p1 such that p1+(p2^2-p1^2) and p2+(p2^2-p1^2) are prime numbers.at n=36A174922
• Primes which are the sum of three distinct positive cubes in two or more distinct ways.at n=24A180088
• Number of closed lambda-terms of size n with at most 2 free de Bruijn indices.at n=5A220896
• Primes p such that p+2, p+24 and p+246 are also primes.at n=26A235871
• Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=27A239844
• Initial members of prime quadruples (n, n+2, n+24, n+26).at n=24A245568
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 369", based on the 5-celled von Neumann neighborhood.at n=33A268503
• Smallest known example of a 3 X 3 X 3 generalized arithmetic progression (GAP) of 27 primes, listed in increasing order.at n=26A290967