56999
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- If a,b are prime numbers satisfying the Diophantine equation a^3+b^3=c^2, then a is -1 mod 12 and b is 1 mod 12, or vice versa. Choose 'a' to be -1 mod 12. This is the sequence of 'a' values, sorted by the magnitude of c.at n=3A099806
- Primes with digit sum = 38.at n=2A106772
- Primes p such that q - p = 38, where q is the next prime after p.at n=6A134118
- Least prime, p, such that p mod (sum of the digits of p) = n.at n=37A138792
- Values of q in A145767.at n=4A145798
- Primes containing 999 as a substring.at n=16A167292
- Primes that end in 999.at n=11A230202
- a(n) = prime that is eventually reached when x -> sigma(x)-1 is repeatedly applied to 2^n-1, or -1 if no prime is ever reached.at n=12A291776
- Primes having only {5, 6, 9} as digits.at n=15A385797
- Primes having only {0, 5, 6, 9} as digits.at n=30A386078
- Primes having only {5, 6, 8, 9} as digits.at n=33A386198
- Prime numbersat n=5782