[seqfan] B-pseudoprimes

[Vladimir Shevelev]

Dear SeqFans,

Let m>=3 be odd number. Denote B^*_(m+1)=|A000367((m+1)/2)| the absolute value of numerator of Benoulli number B_(m+1) and B^**_(m+1)=A002445((m+1)/2) the denominator of 
B_(m+1). I am interested of possible composite numbers m for which we have
 12*B^*_(m+1)==(-1)^((m-1)/2)*B^**_(m+1) (mod m)
 (for odd prime m this holds). It is natural to call such possible numbers B-pseudoprimes.
Could anyone to find a few terms of this sequence?

Regards,
Vladimir

 Shevelev Vladimir‎