58967
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers having four 8's in base 9.at n=23A043488
- Numbers containing no zero digits in bases 3 to 10.at n=28A085509
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, 0), (1, -1, -1), (1, 0, 1)}.at n=9A150009
- Primes formed by rearranging five consecutive decimal digits (avoiding leading 0).at n=34A156119
- Primes p such that 2p + 3, 4p + 9, 3p + 2 and 9p + 8 are also primes.at n=22A176619
- Greatest number (in decimal representation) with n nonprime substrings in base-3 representation (substrings with leading zeros are considered to be nonprime).at n=30A217113
- Greatest number (in decimal representation) with n nonprime substrings in base-9 representation (substrings with leading zeros are considered to be nonprime).at n=7A217119
- Primes p for which p^i - 4 is prime for i = 1, 3 and 5.at n=14A243818
- a(n) = 4^n - 3^n - n.at n=7A284850
- Records in A039654.at n=24A292112
- Expansion of 1/(1 + x*Product_{k>=1} 1/(1 - x^k)).at n=46A318581
- Expansion of g.f. A(x) satisfying 0 = Sum_{n=-oo..+oo} x^n * (1 - x^n/A(-x))^(n+2).at n=14A361766
- The number of n-free abundant numbers below the least number k that is not n-free whose sum of n-free divisors is larger than 2*k.at n=6A387155
- Prime numbersat n=5960