22027
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Powers of e rounded up.at n=10A001671
- a(n) = ceiling(exp((n-1)/2)).at n=21A005181
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 74 ones.at n=29A031842
- Prime closest to e^n.at n=10A037028
- Denominators of continued fraction convergents to sqrt(556).at n=12A042065
- a(n) = round( 1 + e^(n-2) ).at n=11A055876
- Numbers n such that x^n + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=51A057484
- Solutions to A072631[n]=0.at n=10A072632
- a(n) = smallest prime > e^n.at n=10A074496
- 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=[4, 6, 2]; short d-string notation of pattern = [462].at n=29A078851
- Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=17A094230
- Primes prime(k) such that (prime(k-1) + prime(k+1) + prime(k+2))/prime(k) = 3.at n=37A094933
- Primes p such that p + googol is prime.at n=17A108250
- Primes corresponding to indices A059303.at n=4A118840
- Primes in A152535.at n=23A152563
- Primes p such that both pi(p) and the concatenation of pi(p) and p are prime, where pi is the prime counting function.at n=36A155032
- Primes in A166448.at n=9A166449
- Let p_(4,3)(m) be the m-th prime == 3 (mod 4). Then a(n) is the smallest p_(4,3)(m) such that the interval(p_(4,3)(m)*n, p_(4,3)(m+1)*n) contains exactly one prime == 3(mod 4).at n=37A210476
- a(n) = ceiling(e^(n/3)).at n=29A214076
- Triangle read by rows: numerators of coefficients of the Hirzebruch L-polynomials L_n expressing the signature of a 4n-dimensional manifold in terms of its Pontrjagin numbers (as in Hirzebruch Signature Theorem).at n=36A237111