25601
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=29A002496
- arctanh(arctan(arcsin(x))) = x + 1/3!*x^3 + 17/5!*x^5 + 393/7!*x^7 + 25601/9!*x^9 + ...at n=4A012200
- Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=19A023287
- a(n) = T(4,n), array T given by A048472.at n=10A048476
- Odd powers of primes of the form q = x^2 + 1 (A002496).at n=38A054755
- Numbers whose divisors have the form m^k + 1, k>1.at n=31A054964
- Number of asymmetric types of (3,n)-hypergraphs without isolated nodes, under action of symmetric group S_3; asymmetric n-covers of an unlabeled 3-set.at n=12A055538
- Smallest prime that begins with the n-th square in decimal notation.at n=15A065145
- Primes which can be expressed as concatenation of powers of 4 and 0's.at n=20A066595
- Smallest prime p such that (p-1) has n divisors, or 0 if no such prime exists.at n=32A066814
- Primes p such that sigma(p-1)+sigma(p+1) is prime.at n=10A067464
- Smallest prime with leading digits the same as those of n^n.at n=3A068840
- Smallest prime larger than 2^n whose digits begin with those of 2^n.at n=8A068842
- Primes p such that the period of the decimal expansion of 1/p is a square.at n=32A072858
- Primes of the form 512*k+1.at n=10A076339
- Primes p such that (p-1) and the period length of 1/p are both squares.at n=14A076516
- Primes of the form n^2*totient(n)+1 (or A053191(n) + 1).at n=13A076669
- Primes of the form 2^r*5^s + 1.at n=14A077497
- Smallest squarefree integer k such that Q(sqrt(k)) has class number n.at n=34A081363
- Smallest d such that real quadratic field with discriminant d has class number n.at n=34A081364