44417

Properties

Appears in sequences

• arctanh(arctan(arcsinh(x)))=x-1/3!*x^3+17/5!*x^5-617/7!*x^7+44417/9!*x^9...at n=4A012219
• Lonely (or isolated) primes: least prime of distance n from nearest prime (n = 1 or even).at n=14A023188
• Primes with 3 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of any one of its distinct digits.at n=38A057879
• Smallest prime p of two consecutive primes, p < q, such that gcd( p-1, q-1 ) = 2n.at n=15A058264
• Primes p such that 128p+1 and (p-1)/128 are both prime.at n=1A086477
• a(n) is the largest prime before A002278(n).at n=4A099664
• Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=33A103807
• Primes of the form 256n+129.at n=36A105130
• Smallest prime of the form: one or more 4's followed by prime(n) (or 0 if no such prime exists).at n=6A114786
• Primes p such that q-p = 32, where q is the next prime after p.at n=9A126784
• Prime numbers with gaps larger than 18 towards both neighboring primes.at n=32A163111
• Prime numbers with gaps larger than 20 towards both neighboring primes.at n=16A163112
• Primes containing the string 444.at n=5A166582
• Primes of form a^2+b^2 such that a^4+b^4 and a^8+b^8 are primes.at n=29A182313
• Primes of the form 384*k + 257.at n=37A229856
• Expansion of f(-x) * psi(x^2) * phi(x^3) / f(-x^3)^3 in powers of x where phi(), psi(), f() are Ramanujan theta functions.at n=42A230256
• Primes p such that every suffix of the ternary (base-3) representation of p is a prime.at n=46A278696
• Least number that is the start of a gap of size n between numbers that are either prime or twice a prime (A001751).at n=31A290572
• Primes P where the distance to the nearest prime is greater than 2*log(P).at n=31A330426
• a(n) is the smallest prime p such that, for m >= nextprime(p), there are more composites than primes in the range [2, m], where multiples of primes prime(1) through prime(n) are excluded.at n=5A361915