29123
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=37A001275
- Fibonacci sequence beginning 2, 17.at n=17A022118
- Square chains: the number of permutations (reversals not counted as different) of the numbers 1 to n such that the sum of any two consecutive numbers is a square.at n=24A071983
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=55A075707
- a(1) = 1, a(2n) = smallest composite number > (2n-1)-th partial sum of the sequence itself and a(2n+1) = smallest prime > 2n-th partial sum of the sequence.at n=14A076975
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626].at n=27A078854
- Primes by index in A001945.at n=57A104499
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (1, -1, 1), (1, 0, -1), (1, 1, 0)}.at n=9A149197
- Apply partial sum operator twice to sequence of squares of the first n primes.at n=13A157492
- Primes p such that p^5 - 1 has 8 divisors.at n=29A341665
- Prime numbersat n=3164