is 2 100699 - 1
has 30314 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
Actual267295.076674.6269%100000000067344391214101,185.314925.4922%1,480.391581.0950%
Target2440.000061.3636%1200180000.00004.1537%0.000062.9685%
Difference+23+295.0766+13.2632%+999998800+6734439103410+1,185.3149+21.3384%+1,480.3914+18.1265%

Known prime factors (1 factor, 84.4 bits, 0.08384183% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100699260210545999606807083102712684.428129202149971502600365
5 × 212423 × 121646102325551
2014-04-2321242312164610232555139,454,10721,35639,886

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.007--4.289%
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012---0.656--11.729%
2021-12-18Seth_TrManual testing10000000006734439121410---1,185--25.492%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-04-14ANONYMOUSv4_computers??84.42826547,3890.0001,111,451
1999-09-14ANONYMOUSv4_computers252253--0.006--
1999-12-30ANONYMOUSv4_computers253254--0.012--
2000-12-07ANONYMOUSv4_computers21255--0.048--
2000-12-07ANONYMOUSv4_computers21256--0.095--
2000-12-14ANONYMOUSv4_computers21256--0.095--
2002-04-20ANONYMOUSv4_computers21257--0.191--
2018-10-25J.R. AllenManual testing252257--0.185--
2022-04-13LordJuliusManual testing21257--0.191--
2018-11-01J.R. AllenManual testing257258--0.191--
2022-04-13LordJuliusManual testing257258--0.191--
2018-11-01J.R. AllenManual testing258259--0.381--
2022-04-13LordJuliusManual testing258259--0.381--
2018-11-01J.R. AllenManual testing259260--0.763--
2022-04-13LordJuliusManual testing259260--0.763--
2022-04-13LordJuliusManual testing260261--1.525--
2022-04-13LordJuliusManual testing261262--3.050--
2022-10-24LordJuliusManual testing262263--9.75--
2022-10-24LordJuliusManual testing263264--19.50--
2022-10-24LordJuliusManual testing264265--37.10--
2022-10-24LordJuliusManual testing265266--74.21--
2022-10-24LordJuliusManual testing266267--148.4--


ECM factoring results:
Total ECM effort:12.736 GHz-days
Estimated T-Level:30.766
DigitsB1CompleteFacMiss
201100082.9900.000%
255000013.0390.000%
302500001.56121.003%
3510000000.15385.797%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.652
250000250000005856.790
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100699


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOllaptop
26021054599960680708310271
F0BD3B3D5412D9__no
2017-09-21Oliver KruseManual testing
26021054599960680708310271
F0BD3B3D5412D9__no
2017-10-13kkmrkkblmbrbkManual testing
26021054599960680708310271
F0BD3B3D5412D9__no
2020-04-17Oliver KruseAddPrpType5
26021054599960680708310271
5185C16458F7A3__no
2022-04-15LordJuliusWhiteBox
26021054599960680708310271
5185C16458F7A38Bno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6734439121410 (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)
104
105
106
107
108
109
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
256
255
254
253
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.77 ~= 86-bit
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260
270
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290
Last modified: 2023-04-26T21:34:10+00:00