31337

Properties

Appears in sequences

• Permanent of a certain cyclic n X n (0,1) matrix.at n=12A000804
• Numbers k such that the continued fraction for sqrt(k) has period 65.at n=31A020404
• 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 18.at n=15A031606
• Take A000040, omit commas: 23571113171923..., select 5-digit primes seen when scanning from left.at n=32A073038
• Primes p such that p's set of distinct digits is {1,3,7}.at n=22A108382
• Primes p such that p+1, p+2 and p+3 have equal number of divisors.at n=33A119711
• Primes of the form n^2+8.at n=17A138338
• Primes with exactly three 3's.at n=32A178552
• First primes beginning a chain of 4 primes indexed equidistantly (n-th, (n+b)-th, (n+2b)-th, (n+3b)-th primes) whose sum of squares is the square of two times a prime and with b <= n.at n=22A214265
• Expansion of Product_{k>=1} 1 / (1 + x^k - x^(2*k)).at n=22A276527
• Primes p such that q=p^2+p+1 is prime and (q^2+q+1)/3 is prime.at n=37A322748
• E.g.f. A(x) satisfies A(x) = (1 + x*A(x)^3) * exp(x * A(x)^3).at n=4A377893
• The reversing binary representation of the sum of the divisors of the n-th odd square: a(n) = A065621(A379223(n)).at n=51A379224
• Prime numbersat n=3379