| GIMPS | TF-LMH | trial factoring LMH | screen for not-prime, factoring to low limits |
| GIMPS | PM1-R | factor P-1 redo | screen for not-prime, reassigned as P-factoring |
| GIMPS | TF | trial factoring | screen for not-prime, assigned as factoring |
| GIMPS | PM1-S | factor P-1 small | screen for not-prime, assigned as factoring |
| GIMPS | PM1-L | factor P-1 large | screen for not-prime, assigned as P-factoring |
| GIMPS | ECM | factor ECM small | screen for not-prime, assigned as ECM |
| GIMPS | PRP-D | PRP double-check | probable prime test, assigned as PRP verification |
| GIMPS | PRP-CF | PRP cofactor test | probable prime test, assigned as PRP cofactor test |
| GIMPS | LL | LL first test | primality test, assigned as first LL test |
| GIMPS | D | LL double-check | primality test, assigned as LL verification |
| GIMPS | PRP-CF-D | PRP cofactor test double-check | probable prime test, assigned as PRP cofactor verification |
| GIMPS | ECM-F | ECM Fermat | ECM Fermat test, assigned for ECM Fermat testing |
| GIMPS | ECM-MF | ECM more factors | ECM more factors, assigned for more ECM factoring |
| GIMPS | PRP | PRP test | probable prime test, assigned as PRP test |
| GIMPS | ECM-C | ECM Cunningham | ECM Cunningham, assigned for ECM Cunningham testing |
| GIMPS | CERT | PRP proof certification | proof verification, assigned to reliable computers |
