29527
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers having four 4's in base 9.at n=22A043472
- Primes p such that the sum of the digits of p is not prime, but the sum of each digit raised to the 4th power is prime.at n=32A091368
- Primes p such that the polynomial x^5-x^4-x^3-x^2-x-1 mod p has 5 distinct zeros.at n=22A106281
- Prime Friedman numbers.at n=20A112419
- Prime numbers p for which quintonacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is completely factorizable.at n=23A135846
- Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x^5 - x^4 - x^3 - x^2 - x - 1 modulus p is factorizable into five binomials.at n=18A135847
- Least prime p such that the continued fraction expansion of its square root contains the first n natural numbers, but does not contain n+1.at n=18A185808
- Least number k such that the continued fraction expansion of its square root contains the first n natural numbers.at n=18A187261
- Prime numbers (together with one) whose representation in balanced ternary are palindromes.at n=34A224502
- Numbers of the form (5^j + 9^k)/2, for j and k >= 0.at n=36A226794
- Number of partitions of n such that (greatest part) + (least part) <= number of parts.at n=42A237823
- Natural numbers with the maximum number of "feasible" partitions of length m.at n=16A254432
- Number of vertices in a planar Apollonian graph at iteration n.at n=9A289521
- Domination number of the n-Apollonian network.at n=12A291773
- Total domination number of the n-Apollonian network.at n=12A302487
- Sum of the second largest parts of the partitions of n into 10 squarefree parts.at n=52A326636
- E.g.f. A(x) satisfies: A(x) = Sum_{n>=0} ( x^n + A(x) )^n * x^n / n!.at n=6A356773
- Prime numbersat n=3205