is 2 101183 - 1
has 30460 decimal digits
takes 0.000 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267293.665174.6269%100000000067351941657001,185.447425.4980%1,479.112581.0965%
Target2440.000061.3636%12001440000.00004.1582%0.000162.9702%
Difference+23+293.6651+13.2632%+999998800+6735194021700+1,185.4474+21.3399%+1,479.1125+18.1263%

Known prime factors (1 factor, 68.4 bits, 0.06759572% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1011833882049349954543228172168.3951918330821360576
26 × 32 × 7 × 173 × 2750153141
2014-04-231732750153141954.320.48280.9017

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.007--4.292%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.316%
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012---0.656--11.734%
2021-12-19Seth_TrManual testing10000000006735194165700-
skipped known factor: 388204934995454322817
--1,185--25.498%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14ANONYMOUSv4_computers252253--0.006--
1999-12-30ANONYMOUSv4_computers253254--0.012--
2000-12-07ANONYMOUSv4_computers21256--0.095--
2000-12-14ANONYMOUSv4_computers21256--0.095--
2002-04-20ANONYMOUSv4_computers21257--0.190--
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing21257--0.190--
2018-11-02J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-02J.R. AllenManual testing258259--0.379--
2022-04-13LordJuliusManual testing258259--0.379--
2018-11-02J.R. AllenManual testing259260--0.759--
2022-04-13LordJuliusManual testing259260--0.759--
2022-04-13LordJuliusManual testing260261--1.518--
2022-04-13LordJuliusManual testing261262--3.036--
2022-12-08LordJuliusManual testing262263--9.70--
2022-12-08LordJuliusManual testing263264--19.40--
2022-12-08LordJuliusManual testing264265--36.93--


ECM factoring results:
Total ECM effort:12.597 GHz-days
Estimated T-Level:30.756
DigitsB1CompleteFacMiss
201100082.4900.000%
255000012.9390.000%
302500001.54521.330%
3510000000.15185.963%
4030000000.01398.746%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.652
250000250000005856.791
10000001000000001115.154


Lucas-Lehmer results:
No L-L results for M101183


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
388204934995454322817
65FD31DBF5812F__no
2017-09-21Oliver KruseManual testing
388204934995454322817
65FD31DBF5812F__no
2017-09-22Oliver KruseManual testing
388204934995454322817
65FD31DBF5812F__no
2017-11-06kkmrkkblmbrbkc4.xlarge
388204934995454322817
65FD31DBF5812F__no
2020-04-17Oliver KruseAddPrpType5
388204934995454322817
D30E81DEABE500__no
2022-04-15LordJuliusWhiteBox
388204934995454322817
D30E81DEABE500B2no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6735194165700 (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 = 1000000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
101
102
103
104
105
106
107
108
109
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
265
264
263
262
261
260
259
258
257
256
254
253
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.76 ~= 86-bit
250
260
270
280
290
Last modified: 2023-06-05T21:50:05+00:00