25919
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=25A022464
- Primes of the form k^2 - 2.at n=37A028871
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=25A050268
- Least inverse of A056796.at n=23A056817
- a(1) = 2; a(n) = smallest prime > a(n-1) such that the sum of any three nondecreasing terms, chosen from a(1), ..., a(n-1) and a(n), is unique.at n=20A060276
- Frobenius number of the numerical semigroup generated by consecutive centered square numbers.at n=7A069760
- Least m which can be written as i*j+i+j in n different ways: A072670(m)=n.at n=34A072671
- a(n) is the smallest x such that the quotient d(x+1)/d(x) equals n, where d = A000005.at n=34A080371
- Primes that are 2 less than a perfect power m^k, k >= 2.at n=41A094786
- Primes of the form 8*k-1 such that 4*k-1 and 16*k-1 are also primes.at n=25A101792
- Number of partitions of n with a product greater than n.at n=38A114324
- 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=39A117081
- Numbers which converge to 2592 under repeated application of the powertrain map of A133500.at n=32A135384
- Primes of the form 41+(n+n^2)/2=41+A000217(n).at n=28A139219
- Number of binary words of length n containing at least one subword 10^{8}1 and no subwords 10^{i}1 with i<8.at n=53A143288
- Primes p where |p-m| = 1, where m is any of the smallest positive integers with their number of divisors. (m belongs to sequence A007416.)at n=40A152245
- a(n) = 20*n^2 - 1.at n=35A158491
- a(n) = 80*n^2 - 1.at n=17A158774
- Primes p of the form a^2-b^2 and p*a-b is also prime (with b=prime and a=b+1).at n=18A173875
- Least number k>1 such that (tau(k-1)+tau(k+1))/tau(k) = n where tau = A000005.at n=36A190644