46817
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=33A022464
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=33A050268
- Smaller of two consecutive primes whose sum is a square.at n=20A061275
- Smaller member of a twin prime pair with a square sum.at n=10A069496
- Primes p such that p-1 and p+1 are both divisible by fourth powers.at n=26A086709
- Lesser of consecutive primes whose sum is a perfect power (A001597).at n=26A091624
- a(0) = 1, a(n) = 1 + 2*3 + 4*5 + 6*7 + ... + (2n)*(2n+1) for n > 0.at n=32A098931
- Primes of the form Sum_{k=1..n} phi(prime(k)).at n=22A101302
- Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime.at n=20A101315
- Larger of two sides in a (k,k,k-1)-integer-sided triangle with integer area.at n=4A103772
- Twin prime pairs that sum to a power.at n=24A119768
- a(n) = 3*a(n-1) + 3*a(n-2) - a(n-3); a(0)=1, a(1)=1, a(2)=5.at n=9A120893
- Lesser p of twin primes (p,q) such that there exists an integer between sqrt(2p) and sqrt(2q).at n=26A145701
- a(n) = 128*n^2 + 32*n + 1.at n=18A157337
- 128n^2 + 2336n + 10657.at n=9A157433
- Primes p such that 2*p^3 -+ 3 are also prime.at n=35A174363
- Primes p such that 2p + 3, 4p + 9, 3p + 2 and 9p + 8 are also primes.at n=21A176619
- Hypotenuses of Pythagorean triples in A195499 and A195503.at n=7A195531
- Twin prime pairs which sum to perfect squares.at n=20A232878
- Primes p such that 2*p^3 + 1 and 2*p^3 + 3 are also primes.at n=27A252042