is 2 3014237 - 1
has 907376 decimal digits
takes 0.257 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPB9343BBFB6848954verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27079.274068.5714%32728979186555180316.362611.8757%95.636672.3038%3.7324%
PrimeNet2600.051063.3333%120002200000.00292.5173%0.053864.2563%0.9230%
GPU722641.180865.6250%130002200000.00301.4276%1.183866.1157%0.4907%
Difference+6+78.0932+2.9464%+32715979+1865331803+16.3596+10.4481%+94.4528+6.1881%+6.1881%

Known prime factors (1 factor, 90.9 bits, 0.00301644% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
301423723466015583063375206411107292890.923389252994755611041972
22 × 32 × 7 × 1544654741093694611
2021-12-2991544654741093694611148,223,0481.039e+101.940e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.099%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.161%
2010-10-17T22:52:00markrtiny1150002357500---0.029--2.099%
2015-07-30T03:08:00Squeeky_SquirrelP4_26001500003675000---0.042--2.458%
2016-08-08T23:06:13trebor20000002000000---0.247--2.641%
2016-08-18T13:21:31trebor22500002250000---0.278--2.753%
2016-08-20T20:42:34trebor25000002500000---0.309--2.856%
2016-08-23T01:01:33trebor27500002750000---0.339--2.951%
2016-08-24T23:46:34trebor30000003000000---0.370--3.039%
2019-05-28T07:16:17oodairacom532728979186555180312---16.36--11.876%
2022-01-26T04:01:32Jocelyn LaroucheManual testing1000000119912100---0.923--6.262%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-28T08:26:00Jayson Kingatlas260261--0.051--
2010-09-12T04:47:00Sid & AndyBuzz261262--0.102--
2013-01-07T13:52:00dbaughManual testing262263--0.326--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.651--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.240--
2015-06-01T12:17:00ThaManual testing265266--2.479--
2017-02-06T12:13:41Smok_bmvManual testing266267--4.958--
2022-01-19T23:21:42Jocelyn LaroucheManual testing267268--9.92--
2018-07-16T08:59:43ramgeisManual testing267268--9.92--
2021-04-08T17:12:20TJAOIManual testing268269--19.83--
2022-01-18T20:40:07mikrManual testing269270--39.67--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.415 GHz-days
Estimated T-Level:4.050
DigitsB1CurvesCompleteFacMiss
201100081 / 1000.81044.305%
255000081 / 2800.28974.841%

New Calculation Method

Total ECM effort:9.415 GHz-days
Estimated T-Level:4.050
DigitsB1CompleteFacMiss
20110002.6137.332%
25500000.23678.966%
302500000.01598.556%


ECM Summary

B1B2factorcurvesGHz-days
500005000000789.066
50000500000030.349


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers3F6E59C5739B03__0.257


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-31T07:45:40GURA LOVE
2346601558306337520641110729
B9343BBFB6848954no


P-1 factor-bounds graph:
B1 = 32728979, B2 = 1865551803 (P-1 stage 2)
B1 = 32728979 (P-1 stage 1)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2750000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 2250000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 150000, B2 = 3675000 (P-1 stage 2)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
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)
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TF factor-bounds graph:
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Last modified: 2022-01-26T04:01:32+00:00