44641
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers whose least quadratic nonresidue (A020649) is 19.at n=16A025027
- Smallest prime that is simultaneously of forms x^2 + m*y^2 for m = 1, ..., n.at n=16A028372
- Smallest prime that is simultaneously of forms x^2 + m*y^2 for m = 1, ..., n.at n=17A028372
- Define C(n) by the recursion C(0) = 6*i where i^2 = -1, C(n+1) = 1/(1 + C(n)), then a(n) = 6*(-1)^n/Im(C(n)) where Im(z) denotes the imaginary part of z.at n=9A069963
- Let a,b be prime numbers satisfying the Diophantine equation a^3+b^3=(a+b)*(a^2-a*b+b^2)=c^2. Then the second factor a^2-a*b+b^2 is 3*e^2 for some integer e. This sequence tabulates the 'e' values, sorted by magnitude of c.at n=6A099809
- Odd numbers n for which 19 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=24A112078
- Prime numbers p such that p +- ((p-1)/6) are primes.at n=43A137724
- Least number expressible as a^2 + k b^2 with positive integers a,b, for each k=1,...,n.at n=16A155715
- Least number expressible as a^2 + k b^2 with positive integers a,b, for each k=1,...,n.at n=17A155715
- Number of (n+1)X3 0..2 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards.at n=2A204224
- Number of (n+1)X4 0..2 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards.at n=1A204225
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards.at n=7A204230
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards.at n=8A204230
- Number of (n+1)X2 0..7 arrays with the permanents of all 2X2 subblocks equal and nonzero.at n=2A204784
- Number of (n+1)X4 0..7 arrays with the permanents of all 2X2 subblocks equal and nonzero.at n=0A204786
- T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with the permanents of all 2X2 subblocks equal and nonzero.at n=3A204791
- T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with the permanents of all 2X2 subblocks equal and nonzero.at n=5A204791
- Primes having only {1, 4, 6} as digits.at n=23A260269
- Primes p such that the maximal length of a nontrivial N(p)-Hensley sequence mod p is less than the value of A124882 for that prime, where N(p) is the least positive quadratic non-residue mod p.at n=18A261405
- Engel expansion of natural logarithm of golden ratio.at n=13A278765