41597

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 6x + 7.at n=37A023289
• a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 3.at n=14A049975
• Primes p from A031924 such that A052180(primepi(p)) = 17.at n=34A052234
• Numbers k such that 86^k - 85^k is prime.at n=6A062652
• 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, 6,2]; short d-string notation of pattern = [662].at n=24A078857
• The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists.at n=39A078874
• Sorted version of A078874.at n=31A078875
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,2,6).at n=12A078965
• Smaller member p of a pair (p,p+6) of consecutive primes in different centuries.at n=30A160370
• Primes p such that (p reversed)+10 is a square.at n=9A167474
• Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,3,3,2,0,0,0 for x=0,1,2,3,4,5,6.at n=6A197920
• Triangle read by rows, where row n starts with n-th prime, followed by n primes in arithmetic progression; T(0,0) = 1 by convention.at n=34A211890
• 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=13A252963
• Expansion of Product_{k>=0} (1 + (2*k + 1)*x^(2*k+1)).at n=35A282207
• a(n) is the smallest prime that starts the first occurrence of exactly n consecutive primes in A381019.at n=41A381616
• Prime numbersat n=4349