is 2 2273 - 1
has 685 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L942DECBBF9EE23B1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713,072.555082.0896%3106063887077248485110966160680.829030.2099%13,753.384087.5003%17.5003%
PrimeNet2400.000170.0000%500100000.00002.0291%0.000170.6087%0.6087%
GPU722440.001072.7273%500100000.00000.7924%0.001072.9434%0.2161%
Difference+23+13,072.5540+9.3623%+3106063886577+248485110956160+680.8290+29.4175%+13,753.3830+14.5569%+14.5569%

Known prime factors:
No known factors for M2,273

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers1000000100000000---0.000--3.492%
2001-05-27T00:00:00ANONYMOUSv4_computers30000000004290000000---0.127--10.344%
2002-08-03T00:00:00ANONYMOUSv4_computers21474836484290000000---0.094--10.373%
2002-09-14T00:00:00ANONYMOUSv4_computers32212254724290000000---0.136--10.335%
2002-12-25T00:00:00ANONYMOUSv4_computers42900000002147483647---0.177--10.290%
2009-08-07T16:07:00James HintzOMFG10000000000200000000000---0.841--16.985%
2011-05-20T21:04:00Jocelyn LaroucheManual testing200000000002147483647---0.827--12.803%
2014-12-18T15:01:00James Hintz08_04_201410000000000010000000000000---26.42--24.146%
2015-07-09T19:05:00MadPooManual testing166392473910710000000000000---87.53--24.074%
2017-02-10T23:03:13James Hintz11_04_201631060638870772.4848511096616E+1412---680.8--30.210%
unknown3106063887077248485110966160---680.8--30.210%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-12T18:24:47ATH5960X100000000024100000000027--0.608


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers250253--0.462--
2000-05-05T00:00:00ANONYMOUSv4_computers?254--1.056--
2000-01-25T00:00:00ANONYMOUSv4_computers254255--1.056--
2000-08-01T00:00:00ANONYMOUSv4_computers?256--4.223--
2002-12-02T00:00:00Alex Kruppav4_computers?257--8.446--
2009-07-11T18:53:00abcManual testing?259--16.89--
2010-12-17T14:35:00monstManual testing259260--33.79--
2012-04-16T05:17:00bcp19Manual testing260261--67.57--
2015-05-04T15:01:00snme2pm1G1261262--135.1--
2016-09-01T23:46:37snme2pm1G1262263--431.9--
2017-12-08T00:46:45snme2pm1g10263264--863.8--
2020-12-31T08:57:05Ruslan BorisovManual testing264265--1,644--


ECM factoring results:
Total ECM effort:8,239,954.123 GHz-days
Estimated T-Level:61.525
DigitsB1CurvesCompleteFacMiss
2011000162781 / 1001,627.8100.000%
2550000162781 / 280581.3610.000%
30250000162501 / 640253.9080.000%
351000000161861 / 1580102.4440.000%
403000000159981 / 470034.0390.000%
4511000000159981 / 970016.4930.000%
5044000000159557 / 171009.3310.009%
55110000000158832 / 465003.4163.285%
60260000000149099 / 1120001.33126.415%
65800000000109820 / 3600000.30573.708%

ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.008
250000250000006400.095
10000001000000001,8801.118
44000000429000000050012.98
4400000044000000002255.887
1100000001100000000041727.28
1100000007762783965408,51613,163
26000000026000000038640.46
260000000260000000080087.48
260000000260000000003,956611.6
26000000050000000000275.428
26000000030799733764962,00012,124
260000000317855988451633,216207,686
26000000031432096645966452,741
360000000360000000202.903
3600000002000000000000020776.6
520000000520000000153.145
5200000001000000000000015293.3
8500000008500000000010050.55
8500000001489938239791889,4922,609,662
1000000000190711767246166,424239,554
29000000001051012372179129,9842,041,332
76000000004200000000000003,8163,111,769
various73.5751


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:57:00MadPooManual testing942DECBBF9EE23B16.47805e-8


PRP results:
Exponent "2273" not found


P-1 factor-bounds graph:
B1 = 3106063887077, B2 = 2.4848511096616E+14 (stage 2)
B1 = 3106063887077 (stage 1)
B1 = 1663924739107, B2 = 10000000000000 (stage 2)
B1 = 1663924739107 (stage 1)
B1 = 100000000000, B2 = 10000000000000 (stage 2)
B1 = 100000000000 (stage 1)
B1 = 10000000000, B2 = 200000000000 (stage 2)
B1 = 20000000000 (stage 1)
B1 = 10000000000 (stage 1)
B1 = 4290000000 (stage 1)
B1 = 3221225472, B2 = 4290000000 (stage 2)
B1 = 3221225472 (stage 1)
B1 = 3000000000, B2 = 4290000000 (stage 2)
B1 = 3000000000 (stage 1)
B1 = 2147483648, B2 = 4290000000 (stage 2)
B1 = 2147483648 (stage 1)
B1 = 1000000, B2 = 100000000 (stage 2)
B1 = 1000000 (stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-12T18:24:47+00:00