shifting from m1q 898739...000591

Here is a fun loop for you to code up in Pari/GP and examine the output

m1q=89873960570712084732829528260849073549900665278240478747684257744366000579315782083148000591

for(k=9000,10000,n=m1q+2+3*k;n6=n%6;prim=0;if(0==n6,prim=isprime(n/6));print("k=",k," gives ",prim,"=isprime(n/6)");if(prim>0,break))

Sample output for loop starting k=9000

k=9000 gives 0=isprime(n/6)
k=9001 gives 0=isprime(n/6)
 ...
k=9250 gives 0=isprime(n/6)
k=9251 gives 1=isprime(n/6)

Here is a slightly improved loop:

for(k=9000,10000,n=m1q+2+3*k;n6=n%6;prim=0;if(0==n6,print("k=",k," 0==n/6");prim=isprime(n/6));print(" gives ",prim,"=isprime(n/6)");if(prim>0,break))

k=9249
 0==n/6
 gives 0=isprime(n/6)
 gives 0=isprime(n/6)
k=9251 0==n/6
 gives 1=isprime(n/6)


m1q is prime and has the following construction:

t=193;m1=((-1+(3^(t))*37));m1q=m1/50