82013

Properties

Appears in sequences

• Primes of the form (4*k + 3)^2 + (4*k + 2)^2 where k=0,1,2,3,...at n=17A087872
• Primes of the form 8*n^2 + 4*n + 1.at n=30A102130
• Primes A080478(n)^2 + A080478(n+1)^2.at n=35A139361
• Hypotenuse C of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, s=a+b+c, s-+1 are primes.at n=19A155175
• Primes in A155175.at n=10A155185
• Subrecords in A048673: maximum value between two consecutive records in A048673.at n=18A247284
• a(n) = A048673(n^2).at n=47A337336
• Denominator of (1+sigma(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)^2 = A003961(n^2)).at n=47A337339
• a(n) is the least prime of the form (3^j*5^k + 1)/2, j > 0, k > 0, j + k = n. a(n) = 0 if no such prime exists.at n=8A337425
• Records in the numbers of representations of k^2 as x^2 - x*y + y^2, x > 2*y >= 0, corresponding to the numbers of grid points with squared radius A357302(n)^2 in an angular sector 0 <= phi < Pi/6 of the triangular lattice.at n=26A357303
• Prime numbersat n=8021