2^n*4120434501*3061#+1 with n=5,6,7,8

I remark that the main loop found none of these,

but rather n=2, which is also prime.

2^2*4120434501*3061#+1 is 137-PRP!

2^3*4120434501*3061#+1 is composite: [3218F87EC49E9165]

2^4*4120434501*3061#+1 is composite: [1911C7D44647B870]

2^5*4120434501*3061#+1 is 137-PRP!

2^6*4120434501*3061#+1 is 137-PRP!

2^7*4120434501*3061#+1 is 137-PRP!

2^8*4120434501*3061#+1 is 137-PRP!

David