41617
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p == 1 (mod 4) where class number of Q(sqrt p) increases.at n=10A002142
- Primes of the form k^2 + 1.at n=34A002496
- Numbers whose divisors have the form m^k + 1, k>1.at n=36A054964
- Primes p such that (p-1) and the period length of 1/p are both squares.at n=17A076516
- Balanced primes of order nine.at n=24A096701
- Integers n such that n is prime and x is prime, where (x,y) is the smallest solution to the Pell equation with D = n.at n=27A109748
- Primes of the form 4*k^2 + 1.at n=33A121326
- Least k>p such that (kp)^3 divides (p-1)^(kp)^2+1 for prime p = A000040(n).at n=5A128677
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3.at n=55A146348
- Primes with a prime number of partitions into prime parts.at n=37A146949
- Primes of the form 9*n^2 + 1.at n=12A156226
- a(n) = 36*n^2 + 1.at n=34A158591
- Primes which are within 1 of a square number.at n=35A163588
- Primes of the form 8*n^2 + 2*n + 1.at n=32A188382
- Number of (n+3)X5 binary arrays with no more than one of any consecutive four bits set in any row or column.at n=3A203042
- Number of (n+3)X7 binary arrays with no more than one of any consecutive four bits set in any row or column.at n=1A203044
- T(n,k)=Number of (n+3)X(k+3) binary arrays with no more than one of any consecutive four bits set in any row or column.at n=11A203048
- T(n,k)=Number of (n+3)X(k+3) binary arrays with no more than one of any consecutive four bits set in any row or column.at n=13A203048
- Primes of the form n^2+1 such that (n+2)^2+1 is also prime.at n=6A206328
- Next prime of the form 4m^2 + 1 larger than A215233(n).at n=5A215234