Reservations for b^(k*2^n); b = 3, k<750 - Page 2

lukerichards · 2019-05-11, 18:08

Thanks Serge :)

Quote:

Originally Posted by Batalov

3^14319616-2 has a factor: 1453368916665503 (ECM curve 1, B1=1000, B2=100000)
3^14450688-2 has a factor: 1223246458271 (ECM curve 1, B1=1000, B2=100000)

Code:

PRP=1,3,14319616,-2 factor found by batalov using ECM
PRP=1,3,14450688,-2 factor found by batalov using ECM
PRP=1,3,15138816,-2 lukerichards
PRP=1,3,15302656,-2 lukerichards
PRP=1,3,15433728,-2 lukerichards
PRP=1,3,15597568,-2 lukerichards
PRP=1,3,15728640,-2 lukerichards
PRP=1,3,16089088,-2 lukerichards
PRP=1,3,16187392,-2 factor 377032409609 found with srsieve
PRP=1,3,16580608,-2
PRP=1,3,16613376,-2
PRP=1,3,17694720,-2
PRP=1,3,17891328,-2
PRP=1,3,18055168,-2
PRP=1,3,18382848,-2
PRP=1,3,18448384,-2
PRP=1,3,18677760,-2
PRP=1,3,18743296,-2
PRP=1,3,19136512,-2
PRP=1,3,19169280,-2 = factor found with srsieve
PRP=1,3,19529728,-2

Batalov · 2019-05-11, 20:09

3^16089088-2 has a factor: 63811602791 (ECM curve 1, B1=1000, B2=100000)
3^18448384-2 has a factor: 18517670484821881 (ECM curve 1, B1=5000, B2=500000)
3^15433728-2 has a factor: 5097500383231 (ECM curve 2, B1=5000, B2=500000)
3^18382848-2 has a factor: 1005317252063 (ECM curve 3, B1=5000, B2=500000)

lukerichards · 2019-05-11, 23:27

Code:

PRP=1,3,14319616,-2 factor found by Batalov using ECM
PRP=1,3,14450688,-2 factor found by Batalov using ECM
PRP=1,3,15138816,-2 lukerichards
PRP=1,3,15302656,-2 lukerichards
PRP=1,3,15433728,-2 factor: 5097500383231 (ECM curve 2, B1=5000, B2=500000)  found by Batalov
PRP=1,3,15597568,-2 lukerichards
PRP=1,3,15728640,-2 lukerichards
PRP=1,3,16089088,-2 factor: 63811602791 (ECM curve 1, B1=1000, B2=100000) found by Batalov
PRP=1,3,16187392,-2 factor 377032409609 found with srsieve
PRP=1,3,16580608,-2
PRP=1,3,16613376,-2
PRP=1,3,17694720,-2
PRP=1,3,17891328,-2
PRP=1,3,18055168,-2
PRP=1,3,18382848,-2 has a factor: 1005317252063 (ECM curve 3, B1=5000, B2=500000)  found by Batalov
PRP=1,3,18448384,-2 factor 18517670484821881 (ECM curve 1, B1=5000, B2=500000)  found by Batalov
PRP=1,3,18677760,-2
PRP=1,3,18743296,-2
PRP=1,3,19136512,-2
PRP=1,3,19169280,-2 = factor found with srsieve
PRP=1,3,19529728,-2

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2019-05-11, 20:09	#13
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3⁶×13 Posts	3^16089088-2 has a factor: 63811602791 (ECM curve 1, B1=1000, B2=100000) 3^18448384-2 has a factor: 18517670484821881 (ECM curve 1, B1=5000, B2=500000) 3^15433728-2 has a factor: 5097500383231 (ECM curve 2, B1=5000, B2=500000) 3^18382848-2 has a factor: 1005317252063 (ECM curve 3, B1=5000, B2=500000)