is 2 1756009 - 1
has 528612 decimal digits
takes 0.095 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA92BF34EB29A4E9Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26833.943469.1176%17560091931609900.95848.0047%34.901871.5897%2.4720%
PrimeNet2570.010963.1579%80001400000.00122.8043%0.012164.1911%1.0332%
GPU722610.174965.5738%80001100000.00111.4137%0.176066.0604%0.4867%
Difference+7+33.7684+3.5439%+1748009+193050990+0.9574+6.5910%+34.7258+5.5292%+5.5292%

Known prime factors:
No known factors for M1756009

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:41:00Carsten Kossendeyleela950001567500---0.014--2.137%
2014-04-08T23:01:00Jocelyn LaroucheManual testing100000100000---0.008--0.770%
2014-05-06T21:05:00Jocelyn LaroucheManual testing136551136551---0.011--0.923%
2014-09-17T22:20:00ANONYMOUSManual testing173102173102---0.014--1.052%
2015-04-26T02:25:00Squeeky_SquirrelP4_26001300003640000---0.025--2.773%
2015-07-06T14:12:00mikrMSI3642200123456789---0.800--7.977%
2018-10-02T11:45:35Jocelyn Larouchelow 4M175600914048072012---0.733--7.646%
2018-10-03T11:47:46Jocelyn Larouchelow 4M175600915804081012---0.808--7.779%
2018-10-07T10:38:36Jocelyn Larouchelow 4M175600917560090012---0.883--7.897%
2018-10-19T02:38:28Jocelyn Larouchelow 4M175600919316099012---0.958--8.005%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:50Mark RoseManual testing258260--0.066--
2010-04-22T12:44:00Architects Cubedi4l_1260261--0.087--
2016-02-23T16:28:50Mark RoseManual testing261262--0.175--
2010-12-13T03:32:00GrunwalderGIMPManual testing21263--0.909--
2016-02-23T16:28:50Mark RoseManual testing262263--0.559--
2015-05-14T02:58:00snme2pm1Manual testing263264--1.118--
2015-05-14T02:58:00snme2pm1Manual testing264265--2.128--
2015-09-06T20:47:00ramgeisManual testing265266--4.256--
2018-05-28T14:40:34TJAOIManual testing266267--8.511--
2019-06-17T12:15:04TJAOIManual testing267268--17.02--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.701 GHz-days
Estimated T-Level:24.857
DigitsB1CurvesCompleteFacMiss
2011000272 / 1002.7206.498%
2550000272 / 2800.97137.788%

New Calculation Method

Total ECM effort:18.701 GHz-days
Estimated T-Level:24.857
DigitsB1CompleteFacMiss
201100010.4620.003%
25500000.96837.985%
302500000.06194.077%
3510000000.00399.715%


ECM Summary

B1B2factorcurvesGHz-days
50000500000027218.70


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computersA92BF34EB29A4E9D0.095
2015-06-27T00:55:00MadPooManual testingA92BF34EB29A4E9D0.095


PRP results:
No PRP results for M1756009


P-1 factor-bounds graph:
B1 = 1756009, B2 = 193160990 (P-1 stage 2)
B1 = 1756009, B2 = 175600900 (P-1 stage 2)
B1 = 1756009, B2 = 158040810 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 1756009, B2 = 140480720 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1756009 (P-1 stage 1)
B1 = 130000, B2 = 3640000 (P-1 stage 2)
B1 = 95000, B2 = 1567500 (P-1 stage 2)
B1 = 173102 (P-1 stage 1)
B1 = 136551 (P-1 stage 1)
B1 = 130000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-07-27T17:09:37+00:00