is 2 1007971 - 1
has 303430 decimal digits
takes 0.030 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCD61208B8DF8F400double-checked
PRP65BDFEFAFCEFE26FPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271474.297771.8310%320000007562036582101,771.930217.7247%2,246.227976.8239%4.9929%
PrimeNet2560.009564.2857%4500600000.00031.9420%0.009864.9793%0.6936%
GPU722600.152466.6667%4500160000.00020.5781%0.152666.8594%0.1927%
Difference+11+474.1453+5.1643%+31995500+756203642210+1,771.9300+17.1466%+2,246.0753+9.9645%+4.8002%

Known prime factors (1 factor, 130.1 bits, 0.01290822% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1007971147008754617601167842456495789124892374340130.111729231072211408700460908576680901
13 × 263 × 761 × 22501 × 28447 × 915659 × 478199752543
2022-06-039156594781997525431.809e+111,119.72,091.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-22T00:00:00ANONYMOUSv4_computers10000127500---0.001--0.266%
2002-08-10T00:00:00Jocelyn Larouchev4_computers1100011000---0.000--0.067%
2002-08-10T00:00:00Jocelyn Larouchev4_computers1200012000---0.001--0.074%
2002-08-10T00:00:00Jocelyn Larouchev4_computers1300013000---0.001--0.080%
2002-08-10T00:00:00Jocelyn Larouchev4_computers1400014000---0.001--0.087%
2002-08-10T00:00:00Jocelyn Larouchev4_computers1500015000---0.001--0.093%
2002-08-17T00:00:00Jocelyn Larouchev4_computers1600016000---0.001--0.099%
2002-08-17T00:00:00Jocelyn Larouchev4_computers1700017000---0.001--0.106%
2002-08-17T00:00:00Jocelyn Larouchev4_computers1800018000---0.001--0.112%
2002-08-17T00:00:00Jocelyn Larouchev4_computers1900019000---0.001--0.118%
2002-08-24T00:00:00Jocelyn Larouchev4_computers2000020000---0.001--0.124%
2002-08-24T00:00:00Jocelyn Larouchev4_computers2100021000---0.001--0.130%
2002-08-24T00:00:00Jocelyn Larouchev4_computers2200022000---0.001--0.135%
2002-08-24T00:00:00Jocelyn Larouchev4_computers2300023000---0.001--0.141%
2002-08-24T00:00:00Jocelyn Larouchev4_computers2400024000---0.001--0.147%
2002-08-24T00:00:00Jocelyn Larouchev4_computers2500025000---0.001--0.152%
2002-08-24T00:00:00Jocelyn Larouchev4_computers2600026000---0.001--0.158%
2002-09-14T00:00:00Jocelyn Larouchev4_computers2700027000---0.001--0.163%
2002-09-22T00:00:00Jocelyn Larouchev4_computers3276832768---0.001--0.193%
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.092%
2003-11-16T00:00:00eteov4_computers2000002000000---0.013--1.683%
2003-12-13T00:00:00eteov4_computers100000010000000---0.064--3.174%
2010-07-31T07:40:00Rob_Deetwopc12000001400000---0.052--1.784%
2010-08-01T07:31:00Rob_Deetwopc14000001600000---0.061--1.884%
2010-08-02T08:10:00Rob_Deetwopc16000001800000---0.069--1.974%
2010-08-03T09:03:00Rob_Deetwopc18000002000000---0.078--2.056%
2010-08-04T09:40:00Rob_Deetwopc20000002200000---0.086--2.132%
2010-08-05T10:02:00Rob_Deetwopc22000002400000---0.095--2.203%
2010-08-06T16:45:00Rob_Deetwopc24000002600000---0.104--2.270%
2010-08-07T09:05:00Rob_Deetwopc26000002800000---0.112--2.332%
2010-08-08T08:48:00Rob_Deetwopc28000003000000---0.121--2.391%
2010-08-09T07:48:00Rob_Deetwopc30000003200000---0.129--2.447%
2010-08-10T08:36:00Rob_Deetwopc32000003400000---0.138--2.500%
2010-08-11T07:55:00Rob_Deetwopc34000003600000---0.147--2.551%
2010-08-12T08:07:00Rob_Deetwopc36000003800000---0.155--2.600%
2010-08-13T08:31:00Rob_Deetwopc38000004000000---0.164--2.646%
2010-08-14T08:19:00Rob_Deetwopc40000004200000---0.172--2.691%
2010-08-15T08:43:00Rob_Deetwopc42000004400000---0.181--2.734%
2010-08-16T07:28:00Rob_Deetwopc44000004600000---0.190--2.775%
2010-08-17T08:21:00Rob_Deetwopc46000004800000---0.198--2.815%
2010-08-18T08:10:00Rob_Deetwopc48000005000000---0.207--2.853%
2010-08-19T07:46:00Rob_Deetwopc50000005100000---0.215--2.872%
2016-06-30T03:37:03Jocelyn LaroucheManual testing5000000102000006---0.227--3.551%
2016-07-09T04:56:32Jocelyn LaroucheManual testing50000002040000012---0.251--4.237%
2016-08-27T21:58:54Jocelyn Larouchelow4M50000004080000012---0.299--4.930%
2016-09-30T05:55:04Jocelyn Larouchelow 4M5000000448800006---0.308--5.026%
2018-02-23T13:04:48Jocelyn Larouchelow 4M50200004488000012---0.309--5.027%
2018-02-23T14:45:59Jocelyn Larouchelow 4M50200008976000012---0.414--5.730%
2018-10-20T04:16:37Jocelyn Larouchelow 4M502000020159420012---0.676--6.560%
2018-11-19T17:38:17Jocelyn LaroucheManual testing5020000202602171---0.678--6.565%
2021-11-08T16:37:13mognutsDell720003137000---0.010--1.477%
2022-01-30T19:18:33mognutsStrand1050002525853330---5.918--4.933%
2022-02-20T17:25:37LordJuliusWhiteBox_v3081000000084188114010---197.5--13.812%
2022-06-03T11:31:03axnManual testing3200000075620365821040130.1111,7720.0603,54417.725%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-06T00:00:00ANONYMOUSv4_computers21257--0.019--
2002-12-25T00:00:00ANONYMOUSv4_computers21258--0.038--
2016-02-23T16:28:19Mark RoseManual testing258260--0.114--
2009-02-17T01:26:00Sturle Sundeginjtje.ifi260261--0.152--
2010-11-02T03:16:00Michael CManual testing261262--0.305--
2010-11-02T03:16:00Michael CManual testing262263--0.974--
2010-11-02T03:16:00Michael CManual testing263264--1.948--
2012-03-22T15:13:00bcp19Manual testing264265--3.707--
2013-03-20T20:54:00Never Odd Or EvenManual testing265266--7.414--
2013-03-20T20:54:00Never Odd Or EvenManual testing266267--14.83--
2013-03-20T20:54:00Never Odd Or EvenManual testing267268--29.65--
2013-09-10T12:37:00Never Odd Or EvenManual testing268269--59.31--
2013-09-10T12:37:00Never Odd Or EvenManual testing269270--118.6--
2014-04-01T16:40:00Never Odd Or EvenManual testing270271--237.2--


ECM factoring results:
Total ECM effort:18.213 GHz-days
Estimated T-Level:25.652
DigitsB1CompleteFacMiss
201100016.2770.000%
25500001.69518.363%
302500000.13087.777%
3510000000.00899.186%


ECM Summary

B1B2factorcurvesGHz-days
50000500000034011.83
25000035000000326.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-02T00:00:00ANONYMOUSv4_computersCD61208B8DF8F4000.030
2010-01-04T16:15:00Rob_DeetwopcCD61208B8DF8F4000.030


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-31T06:49:51Ethan O'ConnorManual testing65BDFEFAFCEFE26Fno
2022-06-03T17:53:44SRJ2877LTOS
1470087546176011678424564957891248923743
65BDFEFAFCEFE26Fno


P-1 factor-bounds graph:
B1 = 32000000, B2 = 756203658210 (P-1 stage 2)
B1 = 10000000, B2 = 84188114010 (P-1 stage 2)
B1 = 105000, B2 = 2525853330 (P-1 stage 2)
B1 = 32000000 (P-1 stage 1)
B1 = 5020000, B2 = 202602171 (P-1 stage 2)
B1 = 5020000, B2 = 201594200 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5020000, B2 = 89760000 (P-1 stage 2)
B1 = 5020000, B2 = 44880000 (P-1 stage 2)
B1 = 5000000, B2 = 44880000 (P-1 stage 2)
B1 = 5000000, B2 = 40800000 (P-1 stage 2)
B1 = 5000000, B2 = 20400000 (P-1 stage 2)
B1 = 5000000, B2 = 10200000 (P-1 stage 2)
B1 = 5020000 (P-1 stage 1)
B1 = 5000000, B2 = 5100000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 4800000, B2 = 5000000 (P-1 stage 2)
B1 = 4800000 (P-1 stage 1)
B1 = 4600000, B2 = 4800000 (P-1 stage 2)
B1 = 4600000 (P-1 stage 1)
B1 = 4400000, B2 = 4600000 (P-1 stage 2)
B1 = 4400000 (P-1 stage 1)
B1 = 4200000, B2 = 4400000 (P-1 stage 2)
B1 = 4200000 (P-1 stage 1)
B1 = 4000000, B2 = 4200000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3800000, B2 = 4000000 (P-1 stage 2)
B1 = 3800000 (P-1 stage 1)
B1 = 3600000, B2 = 3800000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 3400000, B2 = 3600000 (P-1 stage 2)
B1 = 3400000 (P-1 stage 1)
B1 = 3200000, B2 = 3400000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 3000000, B2 = 3200000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2800000, B2 = 3000000 (P-1 stage 2)
B1 = 2800000 (P-1 stage 1)
B1 = 2600000, B2 = 2800000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2400000, B2 = 2600000 (P-1 stage 2)
B1 = 2400000 (P-1 stage 1)
B1 = 2200000, B2 = 2400000 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 2000000, B2 = 2200000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1800000, B2 = 2000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000, B2 = 1800000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1400000, B2 = 1600000 (P-1 stage 2)
B1 = 1400000 (P-1 stage 1)
B1 = 1200000, B2 = 1400000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 72000, B2 = 3137000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 72000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 27000 (P-1 stage 1)
B1 = 26000 (P-1 stage 1)
B1 = 25000 (P-1 stage 1)
B1 = 24000 (P-1 stage 1)
B1 = 23000 (P-1 stage 1)
B1 = 22000 (P-1 stage 1)
B1 = 21000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 19000 (P-1 stage 1)
B1 = 18000 (P-1 stage 1)
B1 = 17000 (P-1 stage 1)
B1 = 10000, B2 = 127500 (P-1 stage 2)
B1 = 16000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 14000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 13000 (P-1 stage 1)
B1 = 12000 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
2110
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Last modified: 2022-06-03T17:53:44+00:00