65167

Properties

Appears in sequences

• 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=[4,2,6]; short d-string notation of pattern = [426].at n=25A078850
• Primes p such that the differences between the 5 consecutive primes starting with p are (4,2,6,4).at n=4A078953
• Numbers k such that k + (largest digit of k)! is a palindromic prime.at n=25A095920
• Number of (k+1)-tuples of integers modulo n (x_1,...,x_k,s) such that at least one subset of the x_i sums to s mod n. In other words, n^k times the expected number of distinct subset sums mod n of k integers mod n chosen uniformly at random. Read by antidiagonals, i.e., with entries in the order (n,k)=(1,1),(1,2),(2,1),(1,3),(2,2),(3,1),...at n=48A098966
• Let p_(3,1)(m) be the m-th prime == 1(mod 3). Then a(n) is the smallest p_(3,1)(m) such that the interval(p_(3,1)(m)*n, p_(3,1)(m+1)*n) contains exactly one prime == 1(mod 3).at n=34A210465
• Primes p such that p + 4, p + 12 and p + 16 are also primes.at n=26A384298
• Prime numbersat n=6511