47963

Properties

Appears in sequences

• Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 22 (most significant digit on right and removing all least significant zeros before concatenation).at n=15A029539
• Length of A001388(n).at n=36A046639
• Primes of the form k^2 + 2.at n=18A056899
• a(n) is smallest safe prime (A005385) such that a(n) + 12*n is the next safe prime, i.e., x = (a(n) - 1)/2 and x + 6*n are closest Sophie Germain primes.at n=36A059327
• Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=78A075707
• Primes of the form m^k+k, with m and k > 1.at n=25A099227
• Primes occurring in A084704 exactly 4 times.at n=24A128655
• Primes that are equal to the mean of 5 consecutive squares.at n=16A129388
• Number of 5-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and first and second differences in -n..n.at n=32A208972
• Smallest of four consecutive primes whose sum is a triangular number.at n=16A226154
• Primes whose trajectories under the map x -> A039951(x) enter the cycle {83, 4871} (conjectured).at n=10A252812
• a(n) = p(n^2*p(n)), where p(x) is the least prime > x.at n=36A378137
• Prime numbersat n=4943