is 2 672151 - 1
has 202338 decimal digits
takes 0.013 GHz-days to do one PRP test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L71F0F7B9A463499Cdouble-checked
PRP4439E02652668066double-checked

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual269177.619071.0145%125000006000000001.28909.2533%178.908080.2678%30.2678%
PrimeNet2400.000050.0000%65002400000.000621.1453%0.000671.1453%21.1453%
GPU722440.000054.5455%110004000000.000916.0208%0.000970.5663%16.0208%
Difference+25+177.6190+16.4690%+12489000+599600000+1.2880-6.7675%+178.9070+9.7015%+9.7015%

Known prime factors (1 factor, 92.4 bits, 0.01374150% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
67215163712703589628521527083740712892.3644739463572145881024285
5 × 7 × 61 × 3109 × 4519 × 158004060121
2021-02-2545191580040601212.385e+9249.30465.62

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.124%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.282%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.536%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.003--0.907%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.406%
2002-10-19T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.039%
2003-06-09T00:00:00ANONYMOUSv4_computers13107213107200---0.024--2.796%
2011-07-15T20:51:00Jocelyn LaroucheManual testing333647333647---0.010--1.106%
2011-09-11T15:19:00Jocelyn LaroucheManual testing556078556078---0.016--1.417%
2012-06-19T02:42:00Jocelyn LaroucheManual testing672169672169---0.019--1.544%
2012-08-11T13:19:00Jocelyn LaroucheManual testing13443021344302---0.039--2.066%
2015-02-20T16:55:00Jocelyn LaroucheManual testing14443021444302---0.042--2.125%
2015-03-29T20:50:00Jocelyn LaroucheManual testing15887321588732---0.046--2.205%
2015-04-08T16:59:00Jocelyn LaroucheManual testing17476051747605---0.051--2.286%
2015-05-01T17:21:00Jocelyn LaroucheManual testing21146012114601---0.061--2.454%
2015-05-13T10:09:00mikrNWY12500000600000000---1.289--9.253%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-09T00:00:00ANONYMOUSv4_computers253254--0.002--
2001-04-08T00:00:00ANONYMOUSv4_computers?256--0.014--
2002-01-02T00:00:00ANONYMOUSv4_computers?257--0.029--
2003-10-14T00:00:00ANONYMOUSv4_computers?258--0.057--
2008-10-12T06:14:00Sturle Sundegerle.ifi258259--0.057--
2008-10-12T06:50:00Sturle Sundegerle.ifi259260--0.114--
2010-08-14T12:57:00For Researchm1_f2260261--0.229--
2015-05-25T13:18:00lycornManual testing261262--0.457--
2015-10-31T20:33:54Gordon SpenceManual testing262263--1.460--
2015-11-01T20:41:00Gordon SpenceManual testing263264--2.921--
2017-07-03T04:39:06Smok_bmvManual testing264265--5.559--
2017-08-07T04:40:59Smok_bmvManual testing265266--11.12--
2019-06-06T04:50:54Smok_bmvManual testing266267--22.24--
2019-06-06T04:50:54Smok_bmvManual testing267268--44.47--
2019-06-06T04:50:54Smok_bmvManual testing268269--88.94--


ECM factoring results:
Total ECM effort:14.036 GHz-days
Estimated T-Level:25.461
DigitsB1CurvesCompleteFacMiss
2011000352 / 1003.5202.908%
2550000352 / 2801.25728.383%
3025000059 / 6400.09291.187%

ECM Summary

B1B2factorcurvesGHz-days
5000050000002936.585
25000025000000475.282
2500002500000070.787
25000012899251051.383


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-09-22T00:00:00ANONYMOUSv4_computers71F0F7B9A463499C0.013
2015-04-11T15:43:00MadPooManual testing71F0F7B9A463499C0.013


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-25T15:02:59mrhw
6371270358962852152708374071
4439E02652668066no


P-1 factor-bounds graph:
B1 = 12500000, B2 = 600000000 (stage 2)
B1 = 12500000 (stage 1)
B1 = 2114601 (stage 1)
B1 = 1747605 (stage 1)
B1 = 1588732 (stage 1)
B1 = 1444302 (stage 1)
B1 = 1344302 (stage 1)
B1 = 131072, B2 = 13107200 (stage 2)
B1 = 672169 (stage 1)
B1 = 556078 (stage 1)
B1 = 65536, B2 = 6553600 (stage 2)
B1 = 333647 (stage 1)
B1 = 32768, B2 = 3276800 (stage 2)
B1 = 131072 (stage 1)
B1 = 16384, B2 = 1638400 (stage 2)
B1 = 65536 (stage 1)
B1 = 8192, B2 = 819200 (stage 2)
B1 = 32768 (stage 1)
B1 = 4096, B2 = 409600 (stage 2)
B1 = 16384 (stage 1)
B1 = 2000, B2 = 200000 (stage 2)
B1 = 8192 (stage 1)
B1 = 4096 (stage 1)
B1 = 2000 (stage 1)
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108
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1010
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TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
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2100
Last modified: 2021-02-25T15:02:59+00:00