18371
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that 6!*(2*k-7)!/(k!*(k-1)!) is an integer.at n=18A004786
- Numbers k such that 7!*(2k-8)!/(k!*(k-1)!) is an integer.at n=21A004787
- a(n) = 11*a(n-1) + 10*a(n-2).at n=5A015606
- Primes that are palindromic in base 9.at n=37A029977
- Numbers whose base-5 representation contains exactly three 1's and three 4's.at n=26A045262
- a(n) = (1/24)*(sigma_3(2*n-1) - sigma_1(2*n-1)).at n=37A081861
- Members of A083989 whose 10's complement is also a member of A083989.at n=23A083991
- a(n)= A000265(3*(a(n-1)+a(n-2))/2 +1) starting at a(1)=1, a(2)=3.at n=26A124138
- Primes congruent to 33 mod 53.at n=40A142563
- Primes congruent to 22 mod 59.at n=32A142749
- Primes congruent to 10 mod 61.at n=37A142808
- Primes p congruent to 11 mod 12 such that (p - 1)/2 does not divide the numerator of the Bernoulli number B(p-1).at n=11A232040
- Number of partitions of n such that (least part) = (multiplicity of greatest part).at n=38A240180
- Primes of the form (k^2+2)/6.at n=39A245045
- L(p) modulo p^2, where p = prime(n) and L is a Lucas number (A000032).at n=38A268478
- a(1) = 2; a(n + 1) = smallest prime > a(n) such that a(n + 1) - a(n) is the product of 8 primes.at n=16A285693
- Where the prime race among 9k+1, ..., 9k+8 changes leader.at n=43A297407
- The total number of levels visited by all Motzkin paths of length n.at n=11A372033
- Primes p such that the 10's complement A089186(p) and the concatenations of p and A089186(p) and of A089186(p) and p are all prime.at n=20A372082
- Prime numbersat n=2105