65617

Properties

Appears in sequences

• Quartan primes: primes of the form x^4 + y^4, x > 0, y > 0.at n=26A002645
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 56.at n=2A031644
• Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=27A050266
• Primes of the form k^2 + prime(k) + 1.at n=19A063461
• Smallest prime larger than 3^n whose digits begin with those of 3^n.at n=8A068841
• Primes which can be expressed as sum of distinct powers of 4.at n=35A077718
• Primes of the form 16*m^2 + 81, m=1,2,3,...at n=12A087861
• a(n) = 2^(n^2) + 3^n.at n=4A120767
• Primes of the form 2^(2^k)+81.at n=3A160028
• Number of binary strings of length n with no substrings equal to 0001, 0110, or 0111.at n=32A164476
• Primes whose base-4 representation also is the base 2-representation of a prime.at n=23A235461
• Primes of the form 4^x + y^4 with x, y > 0.at n=18A250717
• Primes of the form n^2 + 81.at n=25A256775
• Semi-octavan primes: primes of the form x^4 + y^8.at n=13A291206
• a(n) is the smallest k > 2^(2^n)+1 such that 2^(k-1) == 1 (mod (2^(2^n)-1)*k).at n=4A307532
• Primes p such that p+1 is the concatenation of a power of 3 and a power of 2.at n=22A354524
• Prime numbersat n=6554