24247
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=31A052351
- a(n) is the least k > 0 such that sigma(k!) >= n*k!.at n=18A061556
- Smallest number m such that m#/phi(m#) >= n, where m# indicates the primorial (A034386) of m and phi is Euler's totient function.at n=17A091440
- Smallest prime p with at least two non-overlapping occurrences of n in decimal representation of p.at n=23A103611
- Primes p that divide Fibonacci[(p+1)/7].at n=29A125252
- Let a(n) be the n-th term of the sequence. Let m = primorial(a(n)); m is the minimum positive integer such that m/phi(m) >= n.at n=17A167348
- Primes formed by concatenating k, k, and 7.at n=6A210513
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) is not a part of p.at n=40A241736
- Consider a decimal number of k>=2 digits x = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1) and the transform V(x)-> (d_(1)+d(k) mod 10)*10^(k-1) + (d_(k)+d_(k-1) mod 10)*10^(k-2) + (d_(k-1)+d_(k-2) mod 10)*10^(k-3) + … + (d_(2)+d_(1) mod 10). Sequence lists the least primes x that remain primes for n steps under the transform V(x).at n=4A245252
- Number of (2+2) X (n+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=12A252963
- Primes 6k + 1 preceding the maximal gaps in A268925.at n=8A268926
- G.f. A(x) satisfies: 1 = Sum_{n>=0} ((1+x)^n - A(x))^n.at n=6A303056
- Primes p such that A001175(p) = 2*(p+1)/7.at n=24A308785
- Primes of the form 6k + 1 preceding the first-occurrence gaps in A330853.at n=14A330854
- Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,3) - p = 2*n, or -1 if no such prime exists.at n=34A339943
- Primes having only {2, 4, 7} as digits.at n=18A385784
- Primes having only {0, 2, 4, 7} as digits.at n=33A386047
- Primes having only {2, 4, 5, 7} as digits.at n=36A386153
- Primes having only {2, 4, 6, 7} as digits.at n=30A386155
- Primes having only {2, 4, 7, 8} as digits.at n=35A386157