30307

Properties

Appears in sequences

• Primes p from A031924 such that A052180(primepi(p)) = 17.at n=30A052234
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=21A078858
• Primes p such that primorial(p)/2 - 2 is prime.at n=27A096547
• Smallest prime p with at least two non-overlapping occurrences of n in decimal representation of p.at n=29A103611
• Prime numbers obtained by inserting a 0 between each pair of adjacent digits of a prime number > 10.at n=28A119680
• G.f.: A(x) = 1/(1 - x*B(x^3)), where B(x) = Sum_{n>=0} a(n)^3*x^n is the g.f. of A121652.at n=27A121653
• A trisection of A121653; a(n) = A121653(3*n) = A121652(3*n)^(1/3).at n=9A121654
• Number of unlabeled connected loopless multigraphs with n nodes of degree 4 or less and with at most triple edges.at n=7A134818
• List of triples of strictly non-palindromic primes without an ordinary prime in between.at n=19A138358
• Successive prime factors of 10^(10^100) - 10.at n=17A200924
• Primes formed by concatenating k, k, and 7.at n=10A210513
• List of prime factors of 10^(10^(10^100)) - 10.at n=38A227246
• First primes of arithmetic progressions of 7 primes each with the common difference 210.at n=22A227282
• Primes p such that p+12, p+1234 and p+123456 are also prime.at n=11A236304
• Primes having only {0, 3, 7} as digits.at n=16A260378
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 350", based on the 5-celled von Neumann neighborhood.at n=43A271303
• Number of unlabeled connected loopless multigraphs with n nodes of degree 4 or less.at n=8A289157
• Primes whose decimal expansion is of the form d_1+0+d_2+0+d_3+0+...+0+d_k where d_i are digits with 1 <= d_i <= 9, k > 1 and + stands for concatenation.at n=37A309488
• Numbers that are palindromes in primorial base.at n=48A333423
• Primes that are palindromes in primorial base.at n=18A333424