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OP Home Composites Cleared Against Pomerance Fermat Quotients ElevenSmooth |
We are attempting to find two factors greater than 1011 whenever possible. See the Fermat Quotients page for more details about the search. This page lists all cases where Zero or One factors are possible.
| Base | Exponent | Order | Factor |
| 11 | 71 | 2 * 5 * 7 | 35- 42437717969530394595211 |
| 31 | 79 | 3 * 13 | 39- 175500339130677572941801 |
| 53 | 47 | 23 | 23- 23080289344401529 |
| 71 | 47 | 23 | 23- 101214532738371118365636938570353 |
| 137 | 59 | 29 | 29- 316092460536539293043853391060042444716569284439483 |
| 181 | 101 | 5^2 | 25- 27922785844218925622602573699408437579601 |
| 223 | 71 | 5 * 7 | 35- 3952541566556132058460024363198129905601 |
| 229 | 31 | 2 * 3 * 5 | 15- 7529796853897684081 |
| 263 | 23 | 2 * 11 | 11- 3124914562747294549 |
| 307 | 19 | 2 * 3^2 | 9- 279067340218231 |
| 367 | 43 | 3 * 7 | 21- 861222613258043738884939 |
| 431 | 2393 | 23 | 23- 118528626937765522651035210857666309879 |
| 479 | 47 | 23 | 23- 1471828411900017589843807261040077340787938821871 |
| 479 | 2833 | 59 | 59- 13518069248705387766354492747058401184934040741440058508999601856822022349072690941487743846970867695748090365506785269 |
| 487 | 23 | 11 | 11- 1063916382534173807 |
| 487 | 41 | 2^2 * 5 | 10+ 13589287708681 |
| 521 | 53 | 13 | 13- 345481286446512239791 |
| 557 | 23 | 2 * 11 | 11- 603725934307 |
| 571 | 29 | 7 | 7- 41284013010997 |
| 641 | 43 | 2 * 7 | 7- 191808122983 |
| 647 | 23 | 11 | 11- 199879011767689 |
| 653 | 17 | 2^4 | 8+ 17058824837489 |
| 691 | 37 | 2 * 3^2 | 9- 36286662955271671 |
| 709 | 17 | 2^4 | 8+ 35762192350095041 |
| 751 | 151 | 2 * 3 * 5 | 15- 229378480351 |
| 787 | 41 | 2^2 * 5 | 10+ 1195508958401 |
| 863 | 23 | 11 | 11- 1278984698025739 |
| 907 | 17 | 2^4 | 8+ 792374440386592011409 |
| 941 | 11 | 2 * 5 | 5- 156982145081 |
| Base | Exponent | Order |
| 3 | 11 | 5 |
| 7 | 5 | 2^2 |
| 17 | 3 | 2 |
| 19 | 3 | 1 |
| 19 | 7 | 2 * 3 |
| 19 | 13 | 2^2 * 3 |
| 19 | 43 | 2 * 3 * 7 |
| 23 | 13 | 2 * 3 |
| 31 | 7 | 2 * 3 |
| 37 | 3 | 1 |
| 41 | 29 | 2^2 |
| 43 | 5 | 2^2 |
| 53 | 3 | 2 |
| 67 | 7 | 3 |
| 71 | 3 | 2 |
| 73 | 3 | 1 |
| 79 | 7 | 3 |
| 89 | 3 | 2 |
| 89 | 13 | 2^2 * 3 |
| 97 | 7 | 2 |
| 101 | 5 | 1 |
| 107 | 3 | 2 |
| 107 | 5 | 2^2 |
| 109 | 3 | 1 |
| 127 | 3 | 1 |
| 127 | 19 | 2 * 3^2 |
| 131 | 17 | 2^4 |
| 149 | 5 | 2 |
| 151 | 5 | 1 |
| 157 | 5 | 2^2 |
| 163 | 3 | 1 |
| 179 | 3 | 2 |
| 179 | 17 | 2^3 |
| 181 | 3 | 1 |
| 191 | 13 | 3 |
| 193 | 5 | 2^2 |
| 197 | 3 | 2 |
| 197 | 7 | 1 |
| 199 | 3 | 1 |
| 199 | 5 | 2 |
| 227 | 7 | 2 * 3 |
| 233 | 3 | 2 |
| 233 | 11 | 2 * 5 |
| 239 | 11 | 2 * 5 |
| 239 | 13 | 2^2 |
| 241 | 11 | 2 |
| 251 | 3 | 2 |
| 251 | 5 | 1 |
| 251 | 11 | 5 |
| 251 | 17 | 2^2 |
| 257 | 5 | 2^2 |
| 263 | 7 | 3 |
| 269 | 3 | 2 |
| 269 | 11 | 5 |
| 271 | 3 | 1 |
| 293 | 5 | 2^2 |
| 293 | 7 | 2 |
| 293 | 19 | 2 * 3 |
| 307 | 3 | 1 |
| 307 | 5 | 2^2 |
| 313 | 7 | 2 * 3 |
| 313 | 181 | 3 |
| 337 | 13 | 2 |
| 349 | 5 | 2 |
| 359 | 3 | 2 |
| 373 | 7 | 3 |
| 379 | 3 | 1 |
| 389 | 19 | 3^2 |
| 397 | 3 | 1 |
| 401 | 5 | 1 |
| 421 | 101 | 2 * 5 |
| 431 | 3 | 2 |
| 433 | 3 | 1 |
| 439 | 31 | 3 |
| 443 | 5 | 2^2 |
| 449 | 3 | 2 |
| 449 | 5 | 2 |
| 457 | 5 | 2^2 |
| 457 | 11 | 2 * 5 |
| 467 | 3 | 2 |
| 487 | 3 | 1 |
| 487 | 11 | 5 |
| 491 | 7 | 1 |
| 499 | 5 | 2 |
| 499 | 109 | 3 |
| 503 | 3 | 2 |
| 503 | 17 | 2^4 |
| 509 | 7 | 2 * 3 |
| 521 | 3 | 2 |
| 521 | 7 | 2 * 3 |
| 521 | 31 | 3 |
| 523 | 3 | 1 |
| 541 | 3 | 1 |
| 547 | 31 | 3 * 5 |
| 557 | 3 | 2 |
| 557 | 5 | 2^2 |
| 557 | 7 | 3 |
| 569 | 7 | 3 |
| 577 | 3 | 1 |
| 577 | 13 | 2^2 |
| 577 | 17 | 2 |
| 587 | 7 | 2 |
| 587 | 13 | 2^2 * 3 |
| 587 | 31 | 2 * 5 |
| 593 | 3 | 2 |
| 593 | 5 | 2^2 |
| 599 | 5 | 2 |
| 601 | 5 | 1 |
| 601 | 61 | 2 * 5 |
| 607 | 5 | 2^2 |
| 607 | 7 | 2 * 3 |
| 613 | 3 | 1 |
| 619 | 7 | 2 * 3 |
| 631 | 3 | 1 |
| 643 | 5 | 2^2 |
| 643 | 17 | 2^4 |
| 647 | 3 | 2 |
| 653 | 13 | 3 |
| 653 | 19 | 3 |
| 677 | 13 | 1 |
| 683 | 3 | 2 |
| 701 | 3 | 2 |
| 701 | 5 | 1 |
| 719 | 3 | 2 |
| 727 | 11 | 1 |
| 733 | 17 | 2^3 |
| 739 | 3 | 1 |
| 743 | 5 | 2^2 |
| 751 | 5 | 1 |
| 757 | 3 | 1 |
| 757 | 5 | 2^2 |
| 757 | 17 | 2^3 |
| 761 | 41 | 2 * 5 |
| 773 | 3 | 2 |
| 787 | 37 | 3 |
| 809 | 3 | 2 |
| 811 | 3 | 1 |
| 821 | 19 | 3^2 |
| 823 | 13 | 2 * 3 |
| 827 | 3 | 2 |
| 827 | 17 | 2^4 |
| 829 | 3 | 1 |
| 829 | 17 | 2^2 |
| 857 | 5 | 2^2 |
| 857 | 41 | 5 |
| 863 | 3 | 2 |
| 863 | 7 | 3 |
| 881 | 3 | 2 |
| 881 | 7 | 2 |
| 883 | 3 | 1 |
| 883 | 7 | 1 |
| 887 | 11 | 2 * 5 |
| 907 | 5 | 2^2 |
| 911 | 127 | 3^2 |
| 919 | 3 | 1 |
| 937 | 3 | 1 |
| 953 | 3 | 2 |
| 967 | 11 | 2 |
| 967 | 19 | 3^2 |
| 971 | 3 | 2 |
| 971 | 11 | 5 |
| 977 | 11 | 5 |
| 977 | 17 | 2^3 |
| 977 | 109 | 3^2 |
| 991 | 3 | 1 |
| 991 | 13 | 3 |