30323

Properties

Appears in sequences

• First n-digit prime in the concatenation of the even integers forbidding leading zeros.at n=4A073186
• First n-digit prime in the concatenation of the even integers allowing leading zeros.at n=4A073468
• Least odd prime a(n) such that (a(n)*M(n))^2 + a(n)*M(n) - 1 is prime with M(n) = Mersenne-primes (A000043).at n=22A107709
• Omit the 1's from Rowland's sequence f(n) - f(n-1) = gcd(n,f(n-1)), where f(1) = 7.at n=37A137613
• Numbers k such that the digit sum of 167^k is divisible by k.at n=43A175552
• Primes with exactly three 3's.at n=30A178552
• Number of nondecreasing arrangements of 6 numbers in -(n+4)..(n+4) with sum zero and not more than two numbers equal.at n=10A188239
• Auxiliary c(n) sequence used to prove some properties about Rowland's sequence. c(n) has the following recursive definition: c(1) = 5, c_(n+1) = c(n) + lfp(c(n)) - 1, where lpf(.) denotes the lowest prime factor of a number.at n=37A190894
• Auxiliary r(n) sequence used to prove some properties about Rowland's sequence: r(1) = 1, and r(n) = 1/2*(c(n)+1), where c(n) is A190894, for n>1.at n=38A190895
• Records in A132199.at n=13A191304
• Meanders of length n and central angle < 360 degrees.at n=17A200062
• New primes found by Rowland's recurrence in the order of their appearance.at n=16A221869
• Primes having only {0, 2, 3} as digits.at n=22A260125
• Primes of the form 11*k^2-11*k+7.at n=25A267290
• Five-digit primes whose first, third, and fifth digits are the same.at n=27A269066
• Safe primes p such that p + 24 is also a safe prime.at n=23A274381
• Numbers k such that k!6 - 18 is prime, where k!6 is the sextuple factorial number (A085158).at n=32A289696
• G.f. A(x) satisfies: A(x) = Sum_{n>=0} Series_Reversion( x/A(x)^n )^n.at n=7A298698
• a(1) = 1; for n > 1, a(n) is the smallest prime divisor of the number formed by the concatenation of a(1) to a(n-1) that has not previously appeared in the sequence.at n=18A330291
• Primes p such that 2*p+1 and 4*p^2+1 are also prime.at n=36A333803