42863
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p that have exactly three primitive roots that are not primitive roots mod p^2.at n=20A060519
- Primes for which the five closest primes are smaller.at n=29A075037
- Largest prime < n^3.at n=33A077037
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 9.at n=32A109563
- Primes p such that q-p = 36, where q is the next prime after p.at n=14A134117
- Greatest prime closest to n^3.at n=34A181758
- G.f. satisfies: A(x) = (1 + x*(1-x)*A(x)) * (1 + x^2*A(x)^2).at n=13A216616
- Primes of the form 2*n^2 + 74*n + 35.at n=15A217500
- a(n) is the first prime index where the gap between R(n), Riemann's prime counting function, and Pi(n), the exact prime counting function, is greater than n.at n=11A226473
- Primes of the form n^2 + 14.at n=11A243449
- "Convex" primes: extremal primes in the sense of Tutaj.at n=30A246033
- Least integer m > 0 with pi(m*n) = sigma(m+n), where pi(.) and sigma(.) are given by A000720 and A000203.at n=17A247604
- Primes arising from A249567.at n=13A249568
- Primes of the form 10n^2 - 90n + 163.at n=39A256376
- Convex hull primes, that is, prime numbers corresponding to the convex hull of PrimePi, the prime counting function.at n=35A319126
- Primes having square prime gaps to both neighbor primes.at n=8A353088
- Last prime in n-th run of successive primes in A375564.at n=13A376197
- Prime numbersat n=4483