is 2 1735681 - 1
has 522493 decimal digits
takes 0.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4EC7A534947EB720double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26834.340969.1176%20776401909249100.97288.1114%35.313771.6227%2.5050%
PrimeNet2570.011163.1579%80001400000.00122.7981%0.012364.1888%1.0309%
GPU722610.177065.5738%80001100000.00111.4102%0.178066.0593%0.4855%
Difference+7+34.1639+3.5439%+2069640+190814910+0.9717+6.7012%+35.1357+5.5634%+5.5634%

Known prime factors (1 factor, 78.0 bits, 0.00449129% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17356812928375027452640126672172477.95484358100003763368
23 × 19 × 1146679 × 483995521
2019-11-29114667948399552127,9712.15963.8742

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:45:00Carsten Kossendeyleela950001543750---0.014--2.125%
2014-04-04T00:13:00Jocelyn LaroucheManual testing100000100000---0.008--0.768%
2014-05-06T10:52:00Jocelyn LaroucheManual testing136979136979---0.011--0.923%
2014-09-10T00:51:00Jocelyn LaroucheManual testing173958173958---0.014--1.053%
2014-12-02T21:55:00Jocelyn LaroucheManual testing210937210937---0.017--1.166%
2015-01-27T21:58:00Jocelyn LaroucheManual testing255233255233---0.020--1.284%
2015-01-29T22:02:00Jocelyn LaroucheManual testing280756280756---0.022--1.346%
2015-02-11T12:22:00Jocelyn LaroucheManual testing373685373685---0.029--1.543%
2015-02-21T13:42:00Jocelyn LaroucheManual testing411053411053---0.032--1.612%
2015-03-08T04:50:00Jocelyn LaroucheManual testing452158452158---0.036--1.683%
2015-03-15T18:55:00Jocelyn LaroucheManual testing497373497373---0.039--1.755%
2015-04-08T16:59:00Jocelyn LaroucheManual testing601821601821---0.047--1.906%
2015-05-01T17:20:00Jocelyn LaroucheManual testing728203728203---0.057--2.064%
2015-05-07T16:19:00Jocelyn LaroucheManual testing801023801023---0.063--2.146%
2015-05-22T00:28:00Jocelyn LaroucheManual testing881125881125---0.069--2.229%
2015-05-26T18:17:00Jocelyn LaroucheManual testing969237969237---0.076--2.314%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10661601066160---0.084--2.401%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11727761172776---0.092--2.490%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12900531290053---0.101--2.580%
2015-07-21T01:20:00Jocelyn LaroucheManual testing14190581419058---0.112--2.673%
2015-07-27T01:26:00Jocelyn LaroucheManual testing15609631560963---0.123--2.767%
2015-09-17T01:50:00Jocelyn LaroucheManual testing17170591717059---0.135--2.862%
2015-09-27T21:23:22Jocelyn LaroucheManual testing18887641888764---0.149--2.960%
2015-09-28T14:09:53mikrMSI3642200123456789---0.800--7.968%
2018-10-03T11:47:41Jocelyn Larouchelow 4M20776401735681012---0.229--5.390%
2018-10-11T19:17:51Jocelyn Larouchelow 4M207764017356810012---0.898--8.002%
2018-10-17T22:59:56Jocelyn Larouchelow 4M207764019092491012---0.973--8.111%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:49Mark RoseManual testing258260--0.066--
2010-04-22T12:49:00Architects Cubedm1_f2260261--0.088--
2016-02-23T16:28:49Mark RoseManual testing261262--0.177--
2010-11-18T02:51:00GrunwalderGIMPManual testing21263--0.920--
2016-02-23T16:28:49Mark RoseManual testing262263--0.566--
2015-05-05T08:43:00snme2pm1Manual testing263264--1.131--
2015-05-05T08:43:00snme2pm1Manual testing264265--2.153--
2015-09-03T11:06:00ramgeisManual testing265266--4.305--
2018-04-16T13:13:02TJAOIManual testing266267--8.611--
2019-06-24T09:36:08TJAOIManual testing267268--17.22--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.236 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.236 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025017.17
50000500000010.069


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers4EC7A534947EB7200.094
2015-07-18T19:04:00MadPooManual testing4EC7A534947EB7200.094


PRP results:
dateuseridcompidcofactorsres64PRP
2019-11-30T07:39:09mnd9kitchen
292837502745264012667217
0DF77C4B766A53CDno
2019-12-06T16:39:02Luigi MorelliCS50X-C9
292837502745264012667217
0DF77C4B766A53CDno


P-1 factor-bounds graph:
B1 = 2077640, B2 = 190924910 (P-1 stage 2)
B1 = 2077640, B2 = 173568100 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 2077640, B2 = 17356810 (P-1 stage 2)
B1 = 2077640 (P-1 stage 1)
B1 = 1888764 (P-1 stage 1)
B1 = 1717059 (P-1 stage 1)
B1 = 1560963 (P-1 stage 1)
B1 = 1419058 (P-1 stage 1)
B1 = 1290053 (P-1 stage 1)
B1 = 1172776 (P-1 stage 1)
B1 = 1066160 (P-1 stage 1)
B1 = 969237 (P-1 stage 1)
B1 = 881125 (P-1 stage 1)
B1 = 801023 (P-1 stage 1)
B1 = 728203 (P-1 stage 1)
B1 = 601821 (P-1 stage 1)
B1 = 497373 (P-1 stage 1)
B1 = 452158 (P-1 stage 1)
B1 = 411053 (P-1 stage 1)
B1 = 373685 (P-1 stage 1)
B1 = 280756 (P-1 stage 1)
B1 = 255233 (P-1 stage 1)
B1 = 210937 (P-1 stage 1)
B1 = 173958 (P-1 stage 1)
B1 = 95000, B2 = 1543750 (P-1 stage 2)
B1 = 136979 (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: 2020-06-01T14:17:23+00:00