A178773 Least palindrome which is the product of n consecutive primes.

1, 2, 6, 1001, 5005, 323323

Offset: 0

Author

Robert G. Wilson v, Jun 11 2010

Keywords

• base
• nonn

Comments

A proper subset of A169829.

The next term must exceed the product of 6 primes whose prime index is at least 125000000.

Programs

Mathematica

fQ[k_, n_] := Block[{j = Fold[ Times, 1, Prime[Range[k, k + n]]]}, j == FromDigits@ Reverse@ IntegerDigits@ j]; lst = {}; Do[k = 1; While[ ! fQ[k, n], k++ ]; Print[{n + 1, Fold[Times, 1, Prime[Range[k, k + n]]]}], {n, -1, 4}]

Formula

a(3) = 1001 = 7*11*13,

a(4) = 5005 = 5*7*11*13,

a(5) = 323323 = 7*11*13*17*19.