[seqfan] A sequence connected with Wilson theorem

[Vladimir Shevelev]

I have just submitted a sequence:"Primes p for which comparison x! + (p-1)!/x!==0 (mod p) has only two solutions 1<=x<=p-2 following from Wilson theorem: x = 1 and x = p-2" (A238460).
The sequence begins 5,13,37,41,101,113,157,...
Whether is another way to characterize these primes?

Regards,
Vladimir