27529
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Supersingular primes of the elliptic curve X_0 (11).at n=26A006962
- Numbers n such that 2^n - 2^((n + 1)/2) + 1 is prime.at n=15A007670
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 100 ones.at n=23A031868
- Numerators of continued fraction convergents to sqrt(454).at n=6A041864
- Primes followed by a [10,2,10] prime difference pattern of A001223.at n=24A052376
- Numbers n such that (1+i)^n - 1 times its conjugate is prime.at n=27A057429
- 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=24A091368
- Number of Catalan knight paths from (0,0) to (n,3) in the region between and on the lines y=0 and y=3. (See A096587 for the definition of Catalan knight.).at n=20A099331
- Numbers m such that (1+i)^m - i is a Gaussian prime.at n=28A103329
- Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=21A135844
- 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=16A135845
- Primes that become squares when prefixed with a 2.at n=16A167735
- Numbers k such that sum of digits of k = sum of digits of anti-divisors of k.at n=15A213239
- a(n) is a prime number that cannot be the center term of a length 3 arithmetic progression prime group with a common difference whose number of runs in binary expansion is 2.at n=30A231387
- Primes of the form (k^2+4)/5.at n=32A245042
- Prime numbers congruent to 1 or 169 modulo 240 representable by both x^2 + 150*y^2 and x^2 + 960*y^2.at n=38A325087
- First of three consecutive primes p, q, r such that p + q - r, p^2 + q^2 - r^2 and p^3 + q^3 - r^3 are all prime.at n=15A358744
- Prime numbersat n=3007