65539
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers that are the sum of 4 nonzero 8th powers.at n=15A003382
- Numbers that are the sum of at most 4 nonzero 8th powers.at n=38A004877
- Primes of the form n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=25A027867
- Position reached by frog in A038027 or 0 if none. A038026(A038027(n)).at n=15A038028
- a(n) = 2^(n-1)*(3*n-4) + 3.at n=12A048496
- Primes of the form k^2 + 3.at n=35A049423
- Primes p+2^n arising in A056206.at n=16A056208
- Primes of the form 2^k + 3.at n=8A057733
- a(n) = 2^n + 3.at n=16A062709
- Smallest prime containing n zeros in its binary expansion.at n=14A066195
- Primes of form 2^x + 2^y + 1.at n=36A070739
- Primes of the form 2^i + 2^j + 1, i > j > 0.at n=31A081091
- Primes that can be written as 1+p+p^k, p prime and k > 1.at n=25A084444
- a(n) = (2^(n-1) + prime(n+1)-prime(n))/2.at n=17A085431
- Smallest prime with exactly n consecutive zeros in the longest run of zeros in its binary expansion.at n=14A090587
- Primes whose representation in base 256 can be interpreted as a decimal prime.at n=15A090719
- Consecutive internal states of the linear congruential pseudo-random number generator RANDU that was used in the IBM Scientific Subroutine Library for IBM System/360 computers in the 1970's.at n=1A096555
- Duplicate of A049423.at n=35A121825
- Primes in the new Mersenne conjecture; odd primes of the form 2^k+-1 or 4^k+-3.at n=17A122834
- First occurrence of primes that are 2^k greater than the product of lesser twin primes.at n=15A128841