36037

Properties

Appears in sequences

• a(n) = n^3 + 3*n + 1.at n=33A005491
• Numbers k such that the continued fraction for sqrt(k) has period 69.at n=37A020408
• Primes that are palindromic in base 13.at n=35A029980
• Numerators of continued fraction convergents to sqrt(772).at n=9A042488
• Positive integer values of k such that 10*k^2 - 9 is a square.at n=9A052454
• Primes in A003154.at n=36A083577
• Numerators of convergents to 3/(1 + sqrt(10)).at n=18A093611
• Primes of form n.0.n+1, where '.' represents concatenation. Or, primes of form 10^(k+1)*n + n + 1, where k is the number of digits in n.at n=3A096525
• Pairwise sums of general ballot numbers (A002026).at n=11A102071
• a(n) = numerator(Sum_{k=1..n} (-1)^(k+1)/(prime(k)-1)).at n=10A128647
• Primes q of the form a^3+b^2, such that p =A130467(n)= a^2+b^3 is prime and smaller than q; p < q ; b < a.at n=18A130468
• Primes dividing terms of A128685.at n=3A136373
• Prime numbers with gaps larger than 18 towards both neighboring primes.at n=23A163111
• Primes of the form k^3+3*k+1.at n=8A180275
• Monotonic ordering of set S generated by these rules: if x and y are in S then x^2+y^2+xy is in S, and 1 is in S.at n=13A192535
• Hypotenuses of primitive Pythagorean triples in A195556 and A195557.at n=8A195558
• Ceiling((n+1/n)^3).at n=32A197773
• Number of n X 3 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=36A223833
• Primes p such that p^4-p^3+1 and p^4-p^3-1 are also primes.at n=14A238136
• a(n) is the smallest prime in the interval [k*sqrt(k), k*sqrt(k+2)], where k = A001359(n), or a(n)=0 if there is no prime in this interval.at n=39A247867