62501
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p such that (p-1) and the period length of 1/p are both squares.at n=24A076516
- Primes of the form 2^r*5^s + 1.at n=16A077497
- a(n) is the largest prime of the form x^2 + 1 <= 2^n.at n=15A083849
- Primes of the form p^k - p^(k-1) + 1 for some prime p and integer k > 1.at n=22A087126
- Smallest prime p such that tau(p-1) + tau(p+1) is n, or 0 if no such number exists.at n=36A090482
- Similar to A123872 but with a(0)=6 as seed.at n=4A123874
- Primes associated with A127435.at n=16A127436
- a(3n) = 3a(3n-1)-3a(3n-2)+2a(3n-3), a(3n+1) = 3a(3n)-3a(3n-1)+2a(3n-2), a(3n+2) = 3a(3n+1)-3a(3n), a(0) = 0, a(1) = 1, a(2) = 2.at n=22A131761
- Primes which are within 1 of a square number.at n=42A163588
- Smallest prime which has a decimal representation which shows n^2 embedded in otherwise only decimal square digits 0, 1, 4 and 9.at n=25A174926
- Primes dividing repunits R(10^n) for some n.at n=35A178070
- The smallest prime p such that tau(p-1) + tau(p+1) = prime(n), or 0 if no such prime exists; where tau(k) is the number of divisors of k.at n=11A189536
- a(n) = 4*5^n + 1.at n=6A199215
- Primes of the form 4n^3 + 1.at n=7A199307
- Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X 2 array.at n=11A219572
- A239459(n) / n.at n=24A239462
- Number of independent sets in the generalized Aztec diamond E(L_5,L_{2n-1}).at n=5A254150
- Number of independent sets in the generalized Aztec diamond E(L_9,L_{2n-1}).at n=3A254152
- Discriminants of real quadratic number fields with 3-class rank 2.at n=2A269318
- Discriminants of real quadratic fields with 3-class group of type (3,3).at n=2A269319