is 2 111091 - 1
has 33442 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L498D5E439CDF109Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268536.541075.0000%10000000000671544773439540138,560.561932.9890%139,097.102983.2472%
Target2440.000061.3636%1600260000.00005.0980%0.000063.3333%
Difference+24+536.5410+13.6364%+9999998400+671544773413540+138,560.5619+27.8909%+139,097.1028+19.9139%

Known prime factors (1 factor, 133.3 bits, 0.11997931% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1110911327849320580335383662606798469954518200741133.28659764036716760825974318657608175033
3 × 31 × 53 × 131 × 577757 × 1080338141 × 148287616658491
2023-03-1010803381411482876166584911.520e+1230,59257,131

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-01-14ANONYMOUSv4_computers100000025000000---0.009--3.943%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.162%
2002-07-20ANONYMOUSv4_computers655366553600---0.002--1.720%
2003-02-02ANONYMOUSv4_computers13107213107200---0.003--2.403%
2003-09-29ANONYMOUSv4_computers26214426214400---0.006--3.202%
2006-02-01Jocelyn Larouchev4_computers20000002000000---0.008--2.100%
2012-12-21alpertronManual testing1000000002000000000---0.771--11.086%
2018-05-16mikrS06510000000006000000000012---15.96--17.228%
2023-02-24Jocelyn LaroucheManual testing1000000370915575030---76.52--12.491%
2023-03-10Oliver Kruse5950X1000000000067154477343954041133.286138,5610.001277,12132.989%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23Oliver KruseManual testing10000000400000000027--0.864


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14ANONYMOUSv4_computers252253--0.005--
2000-04-12ANONYMOUSv4_computers21254--0.022--
2022-03-07LordJuliusManual testing254255--0.022--
2000-12-14ANONYMOUSv4_computers21256--0.086--
2000-12-31ANONYMOUSv4_computers21256--0.086--
2002-05-05ANONYMOUSv4_computers21257--0.173--
2016-02-23Mark RoseManual testing257258--0.173--
2009-01-02Sturle Sundegaudi.ifi258259--0.346--
2009-01-04Sturle Sundenardi.ifi259260--0.691--
2013-11-28LaurVManual testing260261--1.383--
2015-08-13NRManual testing261262--2.765--
2016-02-29Gordon SpenceManual testing262263--8.837--
2016-02-29Gordon SpenceManual testing263264--17.67--
2018-05-14chuenkitManual testing264265--33.63--
2019-06-06YxinityManual testing265266--67.27--
2021-12-23LordJuliusManual testing266267--134.5--
2022-04-26404_factor_not_foundManual testing267268--269.1--


ECM factoring results:
Total ECM effort:144.991 GHz-days
Estimated T-Level:35.884
DigitsB1CompleteFacMiss
2011000375.6990.000%
255000076.6900.000%
3025000012.2530.000%
3510000001.60720.050%
4030000000.17783.797%
45110000000.01798.328%
50440000000.00199.858%


ECM Summary

B1B2factorcurvesGHz-days
500005000000300.082
250000250000005787.894
10000001000000001,54884.57
300000030000000032052.45


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ethan O'Connor498D5E439CDF109F0.000
2016-06-01MadPooManual testing498D5E439CDF109F0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-10jafarismManual testing
13278493205803353836626067984699545182007
4AC1CA6838312AE4no
2023-03-11Oliver KruseServer-Phi
13278493205803353836626067984699545182007
4AC1CA6838312AE4no


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 671544773439540 (P-1 stage 2)
B1 = 1000000, B2 = 370915575030 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 1000000000, B2 = 60000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
109
1010
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=35.88 ~= 103-bit
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Last modified: 2023-03-25T13:08:14+00:00