31247

Properties

Appears in sequences

• Primes that remain prime through 4 iterations of function f(x) = 9x + 10.at n=18A023327
• Numerators of continued fraction convergents to sqrt(766).at n=9A042476
• a(n) = 2*5^n - 3.at n=5A064385
• n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=28A067861
• 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 pattern = [2, 4, 6]; short notation = [246] d-pattern.at n=35A078847
• Smaller member of a prime pair (n, n+6) with a square sum.at n=4A086776
• Lesser of twin balanced primes (A090403).at n=14A096694
• Primes of the form p^3 + q^3 + r^3, where p, q and r are primes.at n=39A123597
• Prime numbers n such that n = p1^3 + p2^3 + p3^3, a sum of cubes of 3 distinct prime numbers.at n=16A137365
• Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime.at n=16A137366
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=23A187057
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 1..5.at n=10A187058
• Initial primes of 5 consecutive primes with consecutive gaps 2, 4, 6, 8.at n=9A190814
• (Partial sums of the squarefree integers) that are prime.at n=16A194128
• Primes of the form 2n^2 - 3.at n=30A201712
• Prime numbers p such that x^2 + x + p produces primes for x = 0..5 but not x = 6.at n=3A210364
• Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| <= w+x+y.at n=34A213487
• Primes of the form x^3 + y^3 - 1, where x and y are primes.at n=9A217718
• Number of partitions of n with difference 4 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=44A242695
• Permutation of natural numbers, a composition of A241909 and A064216: a(n) = A064216(A241909(n)).at n=51A243061