65699

Properties

Appears in sequences

• Primes p such that the p-1 digits of the decimal expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=6A072359
• 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=[2, 6,6]; short d-string notation of pattern = [266].at n=18A078849
• Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,6,4).at n=5A078950
• The lesser of twin prime pairs with each prime in a different century.at n=26A158277
• G.f.: Sum_{n>=0} x^n * Product_{k=1..n} (1+x^k)/(1-x^k).at n=30A207641
• Primes p such that phi(p-3) = phi(phi(p-2)-1).at n=25A271658
• Primes of the form 2^(2^k) + 163.at n=3A273548
• Primes that can be generated by the concatenation in base 9, in descending order, of two consecutive integers read in base 10.at n=25A287313
• Number of non-isomorphic 4 X 4 nonnegative integer symmetric matrices with all row and column sums equal to n up to permutations of rows and columns.at n=20A333886
• Let D(k) = {d(k,i)}, i = 1,2,...,q be the set of q divisors of an integer k. a(n) is the smallest number k such that there exist exactly n distinct integers M, 1 < M < k, where each set D(k) mod M is a multiplicative group.at n=46A379645
• Primes p such that p + 8, p + 14, p + 18 and p + 20 are also primes.at n=18A385035
• Primes having only {5, 6, 9} as digits.at n=21A385797
• Primes having only {5, 6, 8, 9} as digits.at n=41A386198
• Prime numbersat n=6562