198593

Properties

Appears in sequences

• Half-quartan primes: primes of the form p = (x^4 + y^4)/2.at n=34A002646
• 4th binomial transform of (1,0,1,0,1,...), A059841.at n=8A081186
• a(n) = (3^(2*n) + 5^(2*n)) / 2.at n=4A081421
• Table T(m,n) = (3^m + 5^n)/2, for m, n = 0, 2, 4, 6, ... read by antidiagonals downwards.at n=40A081458
• Primes p such that the number of primes q, 5 <= q < p, congruent to 1 mod 3, is two less than the number of such primes congruent to 2 mod 3.at n=42A096453
• Primes of the form k^3 + (k+1)^2.at n=23A100662
• Zsigmondy numbers for a = 5, b = 3: Zs(n, 5, 3) is the greatest divisor of 5^n - 3^n (A005058) that is relatively prime to 5^m - 3^m for all positive integers m < n.at n=15A109347
• For n>1, a(n) = 2*a(n-1) + 15*a(n-2); a(0)=1, a(1)=1.at n=8A120612
• Primes of the form (3^n + 5^n)/2.at n=2A121824
• Primes of the form x^2 + y^2 with x > y such that x^2 - y^2 is a square and x^4 + y^4 is a prime.at n=9A282867
• Half-octavan primes: primes of the form (x^8 + y^8)/2.at n=0A290780
• Numbers z such that x^2 + y^8 = z^2 (with positive integers x and y) and gcd(x, y, z) = 1.at n=6A293695
• Prime numbersat n=17871