is 2 235661 - 1
has 70942 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L821AB7C47EE8FF__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267126.087573.1343%30000000101202470268904,486.311423.3414%4,612.398979.4051%6.2708%
PrimeNet2400.000055.0000%2400650000.000013.7671%0.000061.1952%6.1952%
GPU722440.000059.0909%45001000000.00019.8727%0.000163.1298%4.0389%
Difference+23+126.0875+14.0434%+29995500+10120246926890+4,486.3113+13.4686%+4,612.3989+16.2754%+16.2754%

Known prime factors (3 factors, 228.6 bits, 0.09701297% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23566172527270870926492624392272.61915388051241174079
3 × 13 × 625997 × 630299213
2007-11-096259976302992134,672.20.28420.5218
235661899947696078737535954332376.252190941160412358756
22 × 32 × 17 × 311995360150913
2015-08-0717311995360150913100,869138,301258,307
23566110169043249440544137394892579.7502157557518944701104
24 × 7 × 11 × 17 × 29 × 613 × 5794877783
2015-08-076135794877783796,6152.56874.7977

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
23566165270750323168829020549779511131429184884108745148.871
235661737532954250340864180739266320978920373875367146152.369
2356619151607043659056393908800316349209446836215373747156.003
23566166374108295973919543689466708738437707646389821809
9239483074577584543
69228.622
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.224%
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.688%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.536%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.212%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.016%
2003-10-31T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.936%
2021-07-07T12:16:22Oliver KruseOllaptop30000000300000000024-
skipped known factor: 7252727087092649262439
--1.561--12.512%
2022-03-31T11:10:22Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 7252727087092649262439
skipped known factor: 1016904324944054413739489
--4,486--23.341%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:44:39LordJuliusManual testing254255--0.010--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.041--
2002-04-14T00:00:00ANONYMOUSv4_computers21257--0.081--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.711 GHz-days
Estimated T-Level:27.594
DigitsB1CurvesCompleteFacMiss
2011000636 / 1006.3600.167%
2550000606 / 2802.16411.439%
30250000332 / 6400.51959.502%

New Calculation Method

Total ECM effort:11.711 GHz-days
Estimated T-Level:27.594
DigitsB1CompleteFacMiss
201100041.2450.000%
25500005.6990.335%
302500000.58355.845%
3510000000.04795.410%
4030000000.00399.690%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000300.039
5000050000002341.396
500005000000380.227
50000500000020.012
250000250000003049.070
25000036250000210.720
2500003850000070.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-10T00:00:00ANONYMOUSv4_computers821AB7C47EE8FF__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T05:30:12Oliver KruseOllaptopB693A647B4B1F5__?
2017-09-22T10:05:12Oliver KruseManual testingB693A647B4B1F5__?
2017-10-12T15:14:02kkmrkkblmbrbkc4.xlargeB693A647B4B1F5__no
2020-04-17T20:06:30Oliver KruseAddPrpType5
7252727087092649262439
89994769607873753595433
1016904324944054413739489
2F355AF11C1A29__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
100
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108
100
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TF factor-bounds graph:
267
257
256
255
254
253
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2100
Last modified: 2022-08-08T14:01:12+00:00