# 135

This number is a composite.

The two prime factors of 135 are 3 and 5. Note that, starting with 3, the sum of 5 consecutively squared integers equals 135. [Cramer]

Both 1!+3!+5! and 1!!+3!!+5!! are primes. [Jevtic]

135 is the 4th term (found by Shyam Sunder Gupta) in the following sequence: a(n) is the height (continuous number of rows) of a palindromic prime pyramid (starting with 2) of step size n, where each palindromic prime p is the smallest p that contains p in the row above. The sequence begins 3, 11, 26, 135, 828, ... . Can you find a(6) ?

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