A374000 a(n) = Product_{i=1..m} prime(k + T(n,i)) where k = pi(A186702(n)), T(n,i) is the i-th term in row n of A186634, and m = length of row n of A186634.

15, 385, 1001, 5005, 85085, 323323, 7436429, 955049953, 183698727318433150098859517, 35336848261, 435656388001, 3868985835982814590518552822749329543261, 1448810778701, 20475850236047, 5663533044013, 343523383391078124677551786579090220816600929, 62298863484143

Offset: 1

Author

Michael De Vlieger, Jul 04 2024

Keywords

• nonn

Examples

			Let p = A186702 and let T(n,i) be the i-th term in row n of A186634.
a(1) = 15 since p(1) = 3 and row 1 of T is {0, 2}, hence 3 * (3+2) = 3 * 5 = 15.
a(2) = 385 since p(2) = 5 and row 2 of T is {0, 2, 4}, hence 5 * (5+2) * (5+2+4) = 5*7*11 = 385.
Prime decomposition of the first 8 terms.
        a(n)    k  k+m-1  prime decomposition.
----------------------------------------------
         15     2     3    3 *  5
        385     3     5    5 *  7 * 11
       1001     4     6    7 * 11 * 13
       5005     3     6    5 *  7 * 11 * 13
      85085     3     7    5 *  7 * 11 * 13 * 17
     323323     4     8    7 * 11 * 13 * 17 * 19
    7436429     4     9    7 * 11 * 13 * 17 * 19 * 23
  955049953     5    11   11 * 13 * 17 * 19 * 23 * 29 * 31
		

Crossrefs

Cf. A005117, A120944, A186634, A186702.