30493
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Values of m in the discriminant D = -4*m leading to a new minimum of the L-function of the Dirichlet series L(1) = Sum_{k>=1} Kronecker(D,k)/k.at n=7A003521
- Number of binary codes of length 10 with n words.at n=5A034195
- Number of binary codes (not necessarily linear) of length n with 5 words.at n=9A034200
- Primes p such that x^11 = 2 has a solution mod p, but x^(11^2) = 2 has no solution mod p.at n=2A070187
- Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=36A092475
- Greatest number having exactly n representations as ab+ac+bc with 0 < a < b < c.at n=18A094377
- Greatest number having exactly n representations as ab+ac+bc with 1 <= a <= b <= c.at n=19A094380
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/11.at n=11A152311
- a(n) = 28*n^2 + 1.at n=33A158556
- Primes of the form 7n^2 + 1.at n=15A201602
- Let p_(4,1)(m) be the m-th prime == 1 (mod 4). Then a(n) is the smallest p_(4,1)(m) such that the interval(p_(4,1)(m)*n, p_(4,1)(m+1)*n) contains exactly one prime == 1 (mod 4).at n=43A210475
- Primes p such that 2*p + 23 is a square.at n=38A269785
- Expansion of Product_{k>=1} 1/(1 + x^k)^(k+1).at n=42A305628
- Primes that are palindromes in primorial base.at n=21A333424
- Number of integer compositions of n in which the least part appears more than once.at n=15A363224
- Primes that can be represented as k*R(k) + 1, where R(k) is the reverse of k.at n=40A372197
- a(n) is the smallest k >= 1 such that i^2 + k is not divisible by any of the first n odd primes, for any integer i.at n=13A375210
- a(n) is the smallest k >= 1 such that i^2 + k is not divisible by any of the first n odd primes, for any integer i.at n=14A375210
- a(n) is the smallest k >= 1 such that i^2 + k is not divisible by any of the first n odd primes, for any integer i.at n=15A375210
- a(n) is the smallest k >= 1 such that i^2 + k is not divisible by any of the first n odd primes, for any integer i.at n=16A375210