is 2 304211 - 1
has 91577 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26797.675471.6418%50000500000.00050.4001%97.675971.7552%0.1135%
PrimeNet2400.000052.5000%3200900000.000115.5967%0.000159.9085%7.4085%
GPU722440.000056.8182%55001500000.000111.4151%0.000161.7474%4.9292%
Difference+23+97.6753+14.8236%+44500-100000+0.0004-11.0150%+97.6757+10.0078%+10.0078%

Known prime factors (5 factors, 267.7 bits, 0.08800065% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
304211608423619.2151
1
-112.296e-131.031e-82.098e-8
304211326868635291134.92853724
22 × 3 × 112 × 37
2008-07-211211211.225e-81.248e-62.539e-6
30421169290218564871342.65611388513
3 × 83 × 45737
2008-07-2183457372.015e-62.650e-54.799e-5
304211241515563048101295409582732684.32039695402705375758176
25 × 32 × 11 × 43 × 291398011403099
2015-11-064329139801140309919,502,158163,701305,748
3042111163699225929221026196661912786.589191265145890388747645
5 × 13 × 2942540706005980733
2021-11-1113294254070600598073391,935,5621.653e+93.087e+9

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
304211198874395689047671754.143
30421142157762649893900011961.871
3042112264879918124487923626232477.584
3042111378005034425055315956441735293096.798
3042111469436234164149344569845533347932103.535
3042117080213741375344444216516292679332105.804
30421178943862494828823056211448543452541736119.248
304211380376777867513858965676217675224803937121.517
30421116734666150420579343993365388746136695139126.976
30421180632973708405759225989495683904793101739129.245
30421148031261650691237010329338157153025778739142138.463
304211231429980320486384613473621386613300863249743140.732
30421110181755783237340146210475349917090726442827345146.191
30421149058955762589357245554206932488405933315619145148.459
304211547003748662173262970227480343377002578712783007949161.904
3042112635639007544104091977551315407330493944248517899350164.173
30421128105147376893545452764876547057082723120375198481
43
52170.909
30421133280966177228544317613471427295846603994816757601
55417
55181.119
30421116035833918870064439532577039740742411170415160058
458039
56183.387
30421117099818082491701605007564483390111441649068039385
66708489
58190.124
30421191866911677095164817548403541818760954349939715203
879045076647
62205.837
30421119474118045428365260008440185919683354651787555535
778920179453641
65213.565
30421155893942003313271463787252328123995996128453371343
489700242668797681
68225.052
30421111848501323553662276590115203237811505687304539901
745217952343722618143
71232.780
30421163654783889855319759946048574531607716839588714369
8514040620785353149159089
75248.493
30421138729034578617443214305654711862244361902693084363
0481008136620086919070820406647
81267.708
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:51:24Lisander ViaeneManual testing5000050000-
skipped known factor: 608423
skipped known factor: 32686863529
skipped known factor: 6929021856487
--0.001--0.400%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-24T07:58:14nordisweet1610000000101000000027--0.694
2021-04-30T11:01:50nordisweet1610000000101000000065--0.694


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:16:00J FeitsmaManual testing??34.928114.72893e-90.0049.83237e-9
2008-07-21T09:16:00J FeitsmaManual testing??42.656138.87945e-80.0041.84602e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:13.787 GHz-days
Estimated T-Level:27.203
DigitsB1CurvesCompleteFacMiss
2011000573 / 1005.7300.315%
2550000573 / 2802.04612.872%
30250000282 / 6400.44164.341%

New Calculation Method

Total ECM effort:13.787 GHz-days
Estimated T-Level:27.203
DigitsB1CompleteFacMiss
201100032.8870.000%
25500004.3091.344%
302500000.42765.239%
3510000000.03396.711%
4030000000.00299.783%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002201.679
500005000000710.542
250000250000001425.418
25000035500000512.219
25000036750000893.930


Lucas-Lehmer results:
No L-L results for M304211


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T15:22:48Oliver KruseOllaptopCE1F2E284B5BDF__?
2017-09-22T20:37:20Oliver KruseManual testingCE1F2E284B5BDF__?
2017-10-12T22:18:27Oliver KruseGTX-0CE1F2E284B5BDF__no
2017-12-11T07:10:52ATHxps
608423
32686863529
6929021856487
24151556304810129540958273
CE1F2E284B5BDF__no
2020-04-18T07:34:58Oliver KruseAddPrpType5
608423
32686863529
6929021856487
24151556304810129540958273
0B991CBE8E4712__no
2021-11-11T20:47:31mikrNitron
608423
32686863529
6929021856487
24151556304810129540958273
116369922592922102619666191
0B991CBE8E471204no
2022-05-12T18:24:17Jorge CoveiroManual testing
608423
0B991CBE8E471204no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
267
2
210
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-12T18:24:17+00:00