31387

Properties

Appears in sequences

• Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0.at n=43A050267
• Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=30A052166
• a(n) = floor( n^Pi ).at n=26A061294
• Number of ways to tile a 6 X n rectangle with 1 X 1 and 2 X 2 tiles.at n=7A063650
• Number of ways to tile a 7 X n rectangle with 1 X 1 and 2 X 2 tiles.at n=6A063651
• Primes of the form floor(k^Pi).at n=2A074218
• Primes of the form 47*n^2 - 1701*n + 10181.at n=22A128878
• T(n,k) = Half the number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock diagonal sum differing from its antidiagonal sum by more than 2.at n=31A179618
• T(n,k) = Half the number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock diagonal sum differing from its antidiagonal sum by more than 2.at n=32A179618
• a(n) = 4*b_4(n)+3, where b_4 lists the indices of zeros of the sequence A261304: u(n) = abs(u(n-1)-gcd(u(n-1),4*n-1)), u(1) = 1.at n=5A186256
• Let p_(4,3)(m) be the m-th prime == 3 (mod 4). Then a(n) is the smallest p_(4,3)(m) such that the interval(p_(4,3)(m)*n, p_(4,3)(m+1)*n) contains exactly one prime == 3(mod 4).at n=31A210476
• a(n) = largest Ramanujan prime R_k in A104272 that is <= A002386(n).at n=13A214756
• Primes that remain prime when a single digit 9 is inserted between any two consecutive digits or as the leading or trailing digit.at n=27A215421
• 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=47A242688
• Primes p such that p^3-2 and p^2-2 are both primes.at n=33A242979
• Numbers k such that k divides the number of planar partitions of k (A000219).at n=10A294086
• Primes p such that A001175(p) = 2*(p+1)/7.at n=30A308785
• Odd numbers k such that the four consecutive odd numbers starting with k have a total of 5 prime factors counting multiplicity.at n=39A328489
• Primes p such that (p+nextprime(p))/6 is prime and 6*p is the sum of two consecutive primes.at n=30A339775
• Prime numbersat n=3382