54449
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- tan(sin(arctanh(x)))=x+3/3!*x^3+41/5!*x^5+1187/7!*x^7+54449/9!*x^9...at n=4A012053
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 18.at n=23A031606
- Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6*n.at n=29A052359
- Numbers n such that (15^n + 1)/16 is a prime.at n=5A057181
- Primes p such that p*(p-1) divides 3^(p-1)-1.at n=38A081763
- Expansion of (1-x+x^2)/(1-2x+2x^2-x^3-x^4).at n=32A096750
- Numbers k such that 4^k - 2^k - 1 is prime.at n=36A098845
- Primes in A152535.at n=33A152563
- a(n) = 50*n^2 - 1.at n=32A157919
- Primes containing the string 444.at n=12A166582
- Primes that become squares when prefixed with a 1.at n=7A167734
- Slowest increasing sequence of odd primes such that the partial sums of the sequence from the second on are perfect powers.at n=12A174722
- Slowest increasing sequence of odd primes such that the partial sums of the sequence from the second on are perfect powers.at n=11A176578
- Number of compositions of n such that the first part is 1 and the second differences of the parts are in {-4,...,4}.at n=19A239554
- Centered 16-gonal (or hexadecagonal) primes.at n=33A264823
- Primes having only {4, 5, 9} as digits.at n=20A385793
- Primes having only {4, 5, 8, 9} as digits.at n=35A386192
- Prime numbersat n=5541