23957
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=24A022464
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=24A050268
- Numbers k such that 61*2^k-1 is prime.at n=31A050556
- Sums of groups in A075635.at n=33A075636
- Primes prime(k) such that prime(k)*k falls between twin primes.at n=17A080174
- Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored.at n=26A088787
- A094536/2.at n=16A094537
- a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=38A117081
- a(n) is the largest prime < 11*a(n-1) for n > 1, with a(1) = 2.at n=4A126039
- Prime numbers p such that p^3 - (p+1)^2 and p^3 + (p+1)^2 are both primes.at n=25A137476
- Primes p such that continued fraction of (1+sqrt(p))/2 has period 5 : primes in A146330.at n=39A146350
- a(n) = 1681*n^2 - 756*n + 85.at n=3A157010
- a(n) = 22*n^2 - 1.at n=32A158540
- Primes of the form floor(k*(k+1)*Pi/2), k>=0, where Pi = 3.1415.. = A000796.at n=16A163579
- Least prime with exactly n prime anagrams not equal to itself.at n=32A166921
- Primes q (except greater of twin primes) with result 2 under iterations of {r mod (max prime p < r)} starting at r = q.at n=30A175080
- G.f. satisfies: A(x) = exp( Sum_{n>=1} A(sigma(n)*x^n)*x^n/n ).at n=12A179468
- Numbers that divide the concatenation, in descending order, of their anti-divisors.at n=1A249765
- a(n) = one-half of the number of cells in the central rectangle of the graph described in row 2n+1 of A333288.at n=26A337640
- Prime numbersat n=2664