58321
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Quintan primes: p = (x^5 + y^5)/(x + y).at n=23A002650
- Smallest prime containing n-th cube as substring.at n=18A029949
- Smallest nontrivial extension of n-th cube which is a prime.at n=17A030692
- Denominators of continued fraction convergents to sqrt(717).at n=9A042381
- Denominators of continued fraction convergents to sqrt(915).at n=4A042769
- a(n) = (117*n^2 - 99*n + 2)/2.at n=32A050408
- Primes of the form p^2 + p - 1 when p is prime.at n=22A053185
- a(n) = n^4 + 2*n^3 + 4*n^2 + 3*n + 1 = ((n+1)^5+n^5) / (2*n+1).at n=15A072025
- Number of Catalan objects fixed by two-fold application of the Catalan bijections A057511/A057512 (Deep rotation of general parenthesizations/plane trees).at n=13A079223
- Primes of the form 2^a * 3^b * 5^c + 1 for positive a, b, c.at n=42A114991
- Primes of the form 5k^2 + 1.at n=6A137530
- Wavelength (in ångströms) of the series limit of the Hydrogen spectrum for main quantum number n.at n=7A145646
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1110-0111 pattern in any orientation.at n=11A146470
- a(n) = 80*n^2 + 1.at n=27A158776
- Primes of the form 1 + prime(k) + (prime(k+1))^2, any k.at n=10A165613
- Primes of the form 10*n^3 + 1.at n=6A168147
- Smallest prime p which is a concatenation of n^3 and the cubic digits 0, 1, 8.at n=17A174979
- a(n) is the smallest prime p such that 2^(p-1) == 1 (mod a(1)*...*a(n-1)*p).at n=12A175257
- Honaker primes of the form p = 2*k-1 with sum-of-digits(p) = sum-of-digits(k).at n=35A176111
- Primes of the form 2*k!!! + 1.at n=6A217648