25537
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=37A020398
- Number of compositions (ordered partitions) of n into distinct odd parts.at n=55A032021
- Numerators of continued fraction convergents to sqrt(798).at n=3A042538
- Primes p such that sigma(p-1)+sigma(p+1) is prime.at n=9A067464
- Larger of a pair of consecutive primes having only prime digits.at n=14A082756
- Expansion of (1-3*x+6*x^2-5*x^3+3*x^4-x^5)/(1-x)^6.at n=18A089830
- Primes of the form 2*p^2 - 1, where p is prime.at n=11A092057
- Primes with at least one of each prime digit.at n=16A108419
- Primes with prime number of only prime digits (i.e., 2, 3, 5, 7).at n=37A124888
- Primes with a prime number of digits and using all of the prime digits 2, 3, 5, 7 at least once and no other digits.at n=8A153770
- a(n) = 128*n^2 + 32*n + 1.at n=13A157337
- 128n^2 + 2336n + 10657.at n=4A157433
- Primes p such that 2*p^3-+15 are also prime.at n=30A174364
- Primes of the form 2*p^k-1, where p is prime and k > 1.at n=19A178491
- a(n) = 2*prime(n)^2 - 1.at n=29A179262
- Numbers n such that triangular(n) is representable as p*w, where p is a prime number and w is a prime power (A025475).at n=46A225675
- E.g.f.: exp( Sum_{n>=1} x^(n^2) / n^n ).at n=9A226838
- Primes of the form (k^2+7)/11.at n=26A242930
- Primes of form n^2 + 256.at n=27A256776
- Centered 16-gonal (or hexadecagonal) primes.at n=23A264823