is 2 2566219 - 1
has 772509 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L778F5D348074B3B1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26946.522468.1159%32000001120000000.91807.4482%47.440570.4907%2.3748%
PrimeNet2590.029962.7119%110002000000.00212.6884%0.032163.7143%1.0025%
GPU722630.621965.0794%120001800000.00211.4799%0.624165.5962%0.5168%
Difference+6+45.9005+3.0366%+3188000+111820000+0.9159+5.9683%+46.8164+4.8946%+4.8946%

Known prime factors:
No known factors for M2566219

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.191%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.645%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.222%
2011-01-03T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.311%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.455%
2011-04-15T01:42:00James HeinrichWHS1750004112500---0.039--2.839%
2016-05-20T13:08:36mikrMSI320000011200000012---0.918--7.448%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-29T17:48:00Sturle Sundegilia.ifi260261--0.060--
2012-06-17T13:43:00Sebastian HornbostelManual testing261262--0.120--
2013-01-14T11:55:00dbaughManual testing262263--0.383--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.765--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.456--
2015-11-08T21:03:02ramgeisManual testing265266--2.912--
2017-08-13T10:39:20Gordon SpenceManual testing266267--5.824--
2019-06-03T11:26:13TJAOIManual testing267268--11.65--
2021-06-21T08:54:13TJAOIManual testing268269--23.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.975 GHz-days
Estimated T-Level:22.661
DigitsB1CurvesCompleteFacMiss
2011000149 / 1001.49022.369%
2550000149 / 2800.53258.679%

New Calculation Method

Total ECM effort:13.975 GHz-days
Estimated T-Level:22.661
DigitsB1CompleteFacMiss
20110005.7810.309%
25500000.53558.563%
302500000.03496.676%
3510000000.00299.842%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012711.72
50000508523070.651
50000675000070.742
50000689748770.750
60000600000010.111


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computers778F5D348074B3B10.178
2018-06-15T15:03:39kkmrkkblmbrbkold778F5D348074B3B10.178


PRP results:
No PRP results for M2566219


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-17T04:28:39+00:00