36097
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of form k^2 - 3.at n=30A028874
- Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=42A035975
- Primes which are not the sum of consecutive composite numbers.at n=45A037174
- Primes whose 10's complement is a triangular number.at n=21A082992
- Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=29A103807
- Primes of the form 512n+257.at n=12A105131
- Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=29A135844
- Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=23A135845
- Prime numbers p such that p +- ((p-1)/4) are primes.at n=35A137705
- 1 together with terms of A037174.at n=46A140464
- Primes of the form k * m^m + 1 with k < m^m.at n=34A180362
- Primes of the form 256*k + 1.at n=25A208178
- Prime numbers (together with one) whose representation in balanced ternary are palindromes.at n=41A224502
- Primes of the form 384*k + 1.at n=29A229854
- Third prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=31A238675
- Primes which are not the sum of two or more consecutive nonprime numbers.at n=43A257393
- Prime factors of generalized Fermat numbers of the form 12^(2^m) + 1 with m >= 0.at n=9A273950
- Number of free pure symmetric identity multifunctions with one atom and n positions.at n=19A317878
- Primes that are the first in a run of exactly 4 emirps.at n=17A346024
- Primes dividing terms of A231830.at n=36A362252