43427
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(613).at n=9A042176
- Euler transform of reduced totient function psi(n), cf. A002322.at n=24A061257
- Prime chain of 128 terms, including 104 distinct primes, consisting of the output of eight equations that alternate sequentially within a procedural expression of a single polynomial. The equations are either subsequences of x^2 - 79x + 1601 or transforms with one exception: 100x^2 - 2260x + 12959. The other four distinct equations are Euler-derived: 25x^2 - 1185x + 14083, 25x^2 - 775x + 6047, 100x^2 - 2280x + 13159, 100x^2 - 4160x + 43427.at n=5A140708
- Triangle read by rows: T(n,k) is the number of primes in the half-open interval [10^n, 10^n + 10^k), n >= 1, 1 <= k <= n.at n=50A323744
- Primes p such that p^7 - 1 has 8 divisors.at n=30A341669
- Primes p such that if q is the next prime, the sum (with multiplicity) of prime factors of p^2 + q^2 is a square.at n=17A359443
- Prime numbersat n=4528