34483
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=7A002149
- Expansion of (1 + 2*x) / (1 - x - 4*x^2).at n=11A026581
- Largest squarefree number k such that Q(sqrt(-k)) has class number n.at n=14A038552
- Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=37A092475
- Greatest number, not divisible by 4, having exactly n partitions into three squares.at n=7A095811
- Greatest number, not divisible by 4, having exactly n partitions into three positive squares.at n=7A095812
- Greatest number, not divisible by 4, having exactly n partitions into three distinct positive squares.at n=6A096021
- Larger of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=12A153405
- Primes having only {3, 4, 8} as digits.at n=13A199348
- a(0) = 1; for n > 0, a(n) = 41*n^2 + 2.at n=29A206399
- Primes p with same last two digits as k, where prime(k) = p.at n=37A232102
- a(n) = ceiling(n^3*(Pi/2)).at n=27A248198
- Primes p such that 5*p+6, 5*p+12, 5*p+18 and 5*p+24 are all primes.at n=18A355577
- Largest number k such that C(-k) is the cyclic group of order n, where C(D) is the class group of the quadratic field with discriminant D; or 0 if no such k exists.at n=14A357600
- Primes having only {0, 3, 4, 8} as digits.at n=24A386059
- Primes having only {3, 4, 5, 8} as digits.at n=29A386171
- Primes having only {3, 4, 6, 8} as digits.at n=32A386174
- Prime numbersat n=3683