Euler numbers (mod n^2)

[benoit]

Hi,

About  Euler (or secant or "Zig") numbers (A000364).

Looking for  :

  n such that the n-th Euler number == 1 (mod n^2)

I get only :

2,17,37,.......

Are there other values, non prime values?

And about :

  n such that the n-th Euler number == 1 (mod n)

2,3,4,5,7,8,11,13,15,16,17,19,23,29,31,32,37,41,43,47,53,59,61,64,67,71, 
73,79,83,89,91,97,....

The first composites (not a power of 2)  are 15,91...

How this sequence 15,91,.. continues ?


Thanks

Benoit Cloitre
abcloitre at wanadoo.fr
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