17957

Properties

Appears in sequences

• Primes of the form k^2 + 1.at n=25A002496
• Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=115A008302
• Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=105A008302
• Primes that are palindromic in base 9.at n=35A029977
• Primes of form 4*p^2 + 1, p prime.at n=7A052292
• Odd powers of primes of the form q = x^2 + 1 (A002496).at n=34A054755
• Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=43A054827
• Numbers whose divisors have the form m^k + 1, k>1.at n=27A054964
• Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=37A055472
• Numbers k that divide the number of partitions of k into distinct parts (A000009).at n=15A056848
• Primes p such that x^67 = 2 has no solution mod p.at n=30A059330
• a(n) = 4*prime(n)^2+1.at n=18A060429
• Primes of form n^2 + mu(n), where mu is A008683.at n=8A062459
• Primes with all odd digits such that the next three primes also contain all odd digits.at n=15A068831
• Primes of the form m*rad(m)+1, where rad = A007947 (squarefree kernel).at n=41A078324
• Numbers k such that (4*10^(k-1) - 7)/3 is a plateau prime.at n=11A082697
• Primes p such that all prime factors of p-1 have exponent 2.at n=11A089195
• a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=57A089577
• Smallest member of a pair of consecutive twin prime pairs that have three primes between them.at n=24A089635
• a(n) is the lesser term of the smallest twin prime pair such that if P=(a(n)^2+n)^2+n, then P and P+2 are also twin primes. a(n) is 0 if no such pair exists.at n=40A093245