| GIMPS | F | factored by trial factoring | not prime,factor is recorded |
| GIMPS | F-PM1 | factored by P-1 | not prime,factor is recorded |
| GIMPS | F-ECM | factored by ECM | not prime,factor is recorded |
| GIMPS | NF | no factors by trial factoring | needs more testing |
| GIMPS | NF-PM1 | no factors by P-1 | needs more testing |
| GIMPS | NF-ECM | no factors by ECM | needs more testing |
| GIMPS | C-LL | LL test composite | not prime |
| GIMPS | P-LL | LL test PRIME | PRIME,success! |
| GIMPS | C-PRP | PRP test composite | not prime |
| GIMPS | P-PRP | PRP test probably prime | PRIME,success! |
| GIMPS | CERT | PRP proof certification | |
| GIMPS | F-PP1 | factored by P+1 | not prime,factor is recorded |
| GIMPS | NF-PP1 | no factors by P+1 | needs more testing |
