35969
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 85.at n=30A020424
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15.at n=25A031603
- Number of partitions of n into parts not of the form 25k, 25k+11 or 25k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=40A036010
- Primes of the form a^5 + b^3 with a,b>0.at n=29A100273
- Primes of the form 256n+129.at n=31A105130
- Primes of the form 3*k^2 + 9*k + 5.at n=38A171838
- Primes of the form n^3 + n - 1.at n=10A182332
- Least prime q such that q(n) is the first of ten primes in arithmetic progression of ratio Prime(n)# or 0 if no solution.at n=7A189580
- Primes of the form 384*k + 257.at n=27A229856
- Primes p such that p minus its digit sum is a perfect cube.at n=22A245064
- Primes of form n^2 + 625.at n=36A256777
- Odd prime factors of generalized Fermat numbers of the form 7^(2^m) + 1 with m >= 0.at n=8A273948
- Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=5A298191
- Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=3A298193
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=39A298195
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=41A298195
- Number of integer partitions of n whose parts minus 1 are relatively prime.at n=40A328170
- a(n) is the least prime that starts a string of exactly n distinct primes p_1, p_2, ..., p_n where p_{i+1} = p_i+A085563(p_i), but p_n+A085563(p_n) is either not prime or equal to p_n.at n=4A342962
- Prime numbersat n=3820