is 2 3027523 - 1
has 911376 decimal digits
takes 0.258 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L00A84C156BE9E90Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.687767.6471%10527522267496001.64758.2019%21.335170.3006%2.6535%
PrimeNet2600.050763.3333%120002200000.00292.5194%0.053664.2571%0.9238%
GPU722641.175765.6250%130002200000.00301.4289%1.178766.1162%0.4912%
Difference+4+18.5120+2.0221%+1039752+226529600+1.6445+6.7730%+20.1565+4.1844%+2.1624%

Known prime factors (1 factor, 69.8 bits, 0.00230535% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
302752310242575217831191977512269.795169157678039625
3 × 53 × 11 × 107 × 1493 × 256699
2010-10-12149325669974.6950.00190.0032

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.147%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.248%
2010-10-12T23:10:00markrtiny11500023575002269.7950.0290.5150.0592.661%
2020-11-11T18:05:20Jocelyn LaroucheManual testing30275230275236-
skipped known factor: 1024257521783119197751
--0.056--3.275%
2022-01-23T04:31:14Jocelyn LaroucheManual testing1052752119912100-
skipped known factor: 1024257521783119197751
--0.929--7.505%
2022-09-07T13:54:39Jocelyn LaroucheManual testing1052752226749600-
skipped known factor: 1024257521783119197751
--1.647--8.202%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-30T07:33:00Jayson Kingatlas260261--0.051--
2010-10-08T07:36:00Sid & AndyBuzz261262--0.101--
2022-03-11T19:04:00LordJuliusManual testing262263--0.324--
2022-03-11T19:04:00LordJuliusManual testing263264--0.648--
2022-03-11T19:04:00LordJuliusManual testing264265--1.234--
2022-03-11T19:04:00LordJuliusManual testing265266--2.468--
2022-03-11T19:04:00LordJuliusManual testing266267--4.937--
2021-03-20T11:55:02Jocelyn LaroucheManual testing267268--9.87--


ECM factoring results:
Total ECM effort:0.349 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.349


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computers00A84C156BE9E90D0.258


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-27T20:17:55Oliver KruseGTX-3
1024257521783119197751
1785BFF08D7754__no
2017-12-10T16:40:24kkmrkkblmbrbkc4.xlarge
1024257521783119197751
1785BFF08D7754__no


P-1 factor-bounds graph:
B1 = 1052752, B2 = 226749600 (P-1 stage 2)
B1 = 1052752, B2 = 119912100 (P-1 stage 2)
B1 = 1052752 (P-1 stage 1)
B1 = 302752, B2 = 3027523 (P-1 stage 2)
B1 = 302752 (P-1 stage 1)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
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105
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107
102
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105
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
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290
2100
Last modified: 2022-09-07T13:54:39+00:00