is 2 1772711 - 1
has 533640 decimal digits
takes 0.096 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD93B01A17955759Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.761968.6567%2475400866600000.55557.9615%17.317471.1521%2.4954%
PrimeNet2570.010863.1579%80001400000.00122.8093%0.012064.1929%1.0350%
GPU722610.173365.5738%80001200000.00111.4548%0.174466.0746%0.5008%
Difference+6+16.5886+3.0829%+2467400+86540000+0.5544+6.5067%+17.1430+5.0775%+5.0775%

Known prime factors (1 factor, 108.5 bits, 0.00611938% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
177271145228317717757297511934772305427133108.479127568220984010641080059785
32 × 5 × 19 × 67 × 4951 × 14407 × 385433 × 81000221
2015-05-16385433810002218.547e+100.37580.6484

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-02T03:57:00Carsten Kossendeyleela950001615000---0.014--2.433%
2014-04-10T20:52:00ANONYMOUSManual testing100000100000---0.008--0.890%
2014-05-09T20:32:00Jocelyn LaroucheManual testing136207136207---0.011--1.059%
2014-09-18T20:49:00Jocelyn LaroucheManual testing172414172414---0.014--1.202%
2015-05-16T16:58:00mikrMSI2475400866600001233108.4790.5560.1921.1117.962%
2016-03-16T12:31:25alpertronManual testing5000001500000012---0.101--5.049%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.022--
2022-03-08T23:06:26LordJuliusManual testing258260--0.065--
2010-04-20T22:46:00Architects Cubedm1_tt260261--0.087--
2010-12-13T03:32:00GrunwalderGIMPManual testing21263--0.900--
2015-05-01T22:04:00snme2pm1Manual testing263264--1.108--
2015-05-01T22:04:00snme2pm1Manual testing264265--2.108--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.275 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.275 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025117.28


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computersD93B01A17955759D0.096
1999-12-23T00:00:00ANONYMOUSv4_computersD93B01A17955759D0.096


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:24:32alpertronManual testing
452283177177572975119347723054271
8CD71B361C7E38__no
2017-10-19T17:06:58Oliver KruseThreadripper
452283177177572975119347723054271
8CD71B361C7E38__no


P-1 factor-bounds graph:
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 172414 (P-1 stage 1)
B1 = 136207 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
267
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264
263
261
260
258
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260
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2100
2110
Last modified: 2022-03-08T23:06:26+00:00