35461
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 99.at n=29A020438
- Odd k for which k+2^m is composite for all m < k.at n=16A033919
- A054221 without cubes.at n=22A054224
- a(0) = 1; a(n) = Sum_{0 <= k < n and gcd(k, n) != 1} a(k).at n=30A054251
- Primes p whose period of reciprocal equals (p-1)/9.at n=25A056214
- a(1)=2; a(n) for n>1 is the smallest prime number > a(n-1) such that the concatenation of all previous terms is also prime.at n=39A080155
- Numbers n such that 2*(10^n-1)/3+(10^(n-1)+1) or (69*10^(n-1)+3)/9 is a plateau or depression prime.at n=10A082714
- Generalized Motzkin paths with no hills and 3-horizontal steps.at n=20A099170
- Primes that are a concatenation of 3, 5 and a prime.at n=21A101219
- a(n) = n^4 - n^3 - n^2 - n - 1.at n=14A125082
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/9.at n=23A152309
- Number of binary strings of length n with no substrings equal to 0000, 0010, or 0100.at n=18A164417
- Difference between the sum of odd parts and the sum of even parts in all the partitions of n.at n=35A208477
- Prime numbers p such that p - primepi(p) is a square, where primepi is the prime counting function.at n=20A245061
- Primes p such that both (p^2 + 5)/6 and (p^4 + 5)/6 are prime.at n=24A253925
- Primes of form n^2 + 6561.at n=18A256837
- a(1) = 1; a(2) = 1; for n >= 3, a(n) = a(n-1) / gcd(a(n-1), n-1) + a(n-2) / gcd(a(n-2), n-2).at n=41A330806
- Prime numbersat n=3777