22147
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers having four 3's in base 9.at n=18A043468
- Numbers whose base-3 representation has exactly 10 runs.at n=3A043590
- Numbers n such that number of runs in the base 3 representation of n is congruent to 1 mod 9.at n=21A043807
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 10.at n=3A043815
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=26A052234
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642].at n=27A078855
- Pseudo-random numbers: gcc 2.6.3 version for 32-bit integers.at n=34A084276
- Primes p for which Sum_{1 <= n < p} (n!|p) == 0 (mod p), where (n!|p) is the Legendre symbol.at n=36A131652
- K-bit primes p such that p-2^i and p+2^i are composite for 0<=i<=K-1.at n=14A153352
- Primes p such that p+p^2+p^3-+2 are also prime.at n=36A154821
- Primes p such that 8*p^2-2*p-1 divides Fibonacci(p).at n=20A159231
- Primes p that p//13 and p//31 are consecutive primes.at n=31A176601
- Primes p for which exactly five bases b with 1 < b < p exist such that p is a base b Wieferich prime.at n=9A255208
- Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime and no consecutive values equal.at n=36A255718
- Odd numbers m that are neither of the form p + 2^k nor of the form p - 2^k with 2^k < m, k >= 1, and p prime.at n=30A255967
- Coordination sequence for (2,6,6) tiling of hyperbolic plane.at n=22A265069
- Primes which, when added to their reversals, produce palindromic primes.at n=21A342681
- Prime numbersat n=2483