is 2 150533 - 1
has 45315 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-L6784591069F6B0E1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267197.391473.1343%10000000020000000000.942712.0796%198.334176.3796%3.2453%
PrimeNet2400.000055.0000%1600340000.000010.6613%0.000059.7976%4.7976%
GPU722440.000059.0909%2600500000.00007.1442%0.000062.0135%2.9226%
Difference+23+197.3914+14.0434%+99997400+1999950000+0.9427+4.9354%+198.3340+14.3661%+14.3661%

Known prime factors (1 factor, 104.5 bits, 0.06942106% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1505332871570306400337189265414997785732104.50295380092949729866184338816
27 × 3 × 10161439 × 10736953 × 2276618447
2015-12-151073695322766184471.144e+120.62161.0731

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.510%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.416%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.056%
2002-09-22T00:00:00Jocelyn Larouchev4_computers400000400000---0.002--1.221%
2002-09-29T00:00:00Jocelyn Larouchev4_computers500000500000---0.002--1.360%
2002-10-19T00:00:00Jocelyn Larouchev4_computers600000600000---0.003--1.481%
2002-11-02T00:00:00Jocelyn Larouchev4_computers10000001000000---0.005--1.851%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.825%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.710%
2009-01-10T04:58:00axnManual testing5000000200000000---0.072--7.502%
2011-03-04T11:22:00Jocelyn LaroucheManual testing1000000010000000---0.046--4.119%
2013-05-24T16:17:00alpertronManual testing1000000002000000000---0.943--12.080%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-03T09:28:29ATHec2-P_150000000500000000027--1.576


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.016--
2022-03-07T03:53:39LordJuliusManual testing254255--0.016--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.064--
2002-06-29T00:00:00ANONYMOUSv4_computers21257--0.128--
2022-03-07T03:53:39LordJuliusManual testing257258--0.128--
2008-12-30T14:42:00Sturle Sundegonzo.ifi258259--0.255--
2009-01-25T14:52:00Sturle Sundegouffy.ifi259260--0.510--
2013-09-09T00:29:00lycornasteroid260261--1.020--
2015-08-13T13:31:00NRManual testing261262--2.041--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.322 GHz-days
Estimated T-Level:30.215
DigitsB1CurvesCompleteFacMiss
2011000929 / 1009.2900.009%
2550000929 / 2803.3183.602%
30250000653 / 6401.02036.019%
35100000068 / 15800.04395.786%

New Calculation Method

Total ECM effort:15.322 GHz-days
Estimated T-Level:30.215
DigitsB1CompleteFacMiss
201100067.3680.000%
25500009.7960.006%
302500001.11332.874%
3510000000.10390.251%
4030000000.00899.202%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002760.927
250000250000005859.83
1000000100000000664.434
100000010000000020.134


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-01-14T00:00:00ANONYMOUSv4_computers6784591069F6B0E10.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:11:06Oliver KruseOllaptop
28715703064003371892654149977857
0F7102E3563728__no
2017-09-22T10:02:38Oliver KruseManual testing
28715703064003371892654149977857
0F7102E3563728__no
2017-10-11T16:00:01kkmrkkblmbrbkc4.xlarge0F7102E3563728__no
2020-04-17T15:45:46Oliver KruseAddPrpType5
28715703064003371892654149977857
C9DCF707E42712__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5000000 (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 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
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)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
Last modified: 2022-03-07T03:53:39+00:00