44221
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- 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 38.at n=4A031626
- Numerators of continued fraction convergents to sqrt(395).at n=6A041750
- First term of strong prime sextets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3) > p(m+5)-p(m+4).at n=14A054813
- a(n) = largest prime in the factorization of n-th Franel number (A000172).at n=12A058854
- Primes of the form n followed by the least k == 1 (mod n).at n=43A090920
- Primes from merging of 5 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.at n=23A103809
- Prime numbers p such that p and prime(p) have no common decimal digit and prime(p) and prime(prime(p)) have no common decimal digit.at n=11A121409
- Primes p such that q-p = 28, where q is the next prime after p.at n=33A124595
- Prime numbers p of the form 10k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=12A135842
- Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=40A135844
- Triangle read by rows: row n gives the n primes corresponding to A187825.at n=28A195258
- Primes of the form 9n^3+4.at n=3A201265
- Primes having only {1, 2, 4} as digits.at n=34A260267
- Centered 20-gonal (or icosagonal) primes.at n=16A264845
- Primes that are values of A215240.at n=15A320041
- Positive-pan primes (see Comments).at n=33A332788
- Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 3.at n=28A336794
- Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 3.at n=27A336796
- Centered pentachoral numbers.at n=11A365205
- Primes p such that p + q +- 1 and p^3 + q^3 +- 1 are twin prime pairs, where q = nextprime(p).at n=8A366644