ECM on Fermat numbers Digits in factor 25 30 35 40 45 50 55 60 65 Bound #1 50,000 250,000 1,000,000 3,000,000 11,000,000 44,000,000 110,000,000 260,000,000 800,000,000 Curves to test 280 640 1,580 4,700 9,700 17,100 46,500 112,000 360,000 4096 Done Done Done Done Done Done Done Done 93,181 8192 Done Done Done Done Done Done Done Done 52,714 16384 Done Done Done Done Done Done Done Done 329,085 32768 Done Done Done Done Done Done Done Done 145,435 65536 Done Done Done Done Done Done Done 19,695 131072 Done Done Done Done Done Done Done 38,485 262144 Done Done Done Done Done Done 19,982 524288 Done Done Done Done Done 8,251 1048576 Done Done Done Done Done 4,823 2097152 Done Done Done Done 8,124 4194304 Done Done Done Done 2,765 8388608 Done Done Done Done 1,324 16777216 Done Done Done 2,951 33554432 Done Done Done 723 67108864 Done Done 842 134217728 Done 346 268435456 Done 89 536870912 47
ECM on Mersenne numbers with no known factors Exponent range: Get ECM Report Digits in factor 25 30 35 40 45 50 55 60 65 Bound #1 50,000 250,000 1,000,000 3,000,000 11,000,000 44,000,000 110,000,000 260,000,000 800,000,000 Curves to test 280 640 1,580 4,700 9,700 17,100 46,500 112,000 360,000 1277 Done Done Done Done Done Done Done Done Done 1619 Done Done Done Done Done Done Done Done 157,731 1753 Done Done Done Done Done Done Done Done 122,615 2267 Done Done Done Done Done Done Done Done 67,358 2273 Done Done Done Done Done Done Done Done Done 2423 Done Done Done Done Done Done Done Done Done
ECM on Mersenne numbers with known factors Exponent range: Get ECM Report Digits in factor 25 30 35 40 45 50 55 60 65 Bound #1 50,000 250,000 1,000,000 3,000,000 11,000,000 44,000,000 110,000,000 260,000,000 800,000,000 Curves to test 280 640 1,580 4,700 9,700 17,100 46,500 112,000 360,000