is 2 5037647 - 1
has 1516483 decimal digits
takes 0.698 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7161F579E3C72787double-checked
PRP010230FB910128A1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual273379.709968.4932%30000093750000.15972.6459%379.869669.3268%0.8336%
PrimeNet2610.061062.2951%220004500000.00913.3174%0.070163.5459%1.2508%
GPU722651.448264.6154%340007000000.01412.4191%1.462465.4714%0.8560%
Difference+8+378.2616+3.8778%+266000+8675000+0.1455+0.2268%+378.4072+3.8554%+3.8554%

Known prime factors (1 factor, 81.3 bits, 0.00161322% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
503764729117751739195678760472892581.268289001509426878052
22 × 7 × 17 × 584713 × 1038365879
2021-10-28584713103836587999,57111.48221.237

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers25000331250---0.008--0.570%
2006-01-15T00:00:00Jocelyn Larouchev4_computers1000010000---0.002--0.062%
2009-08-08T18:11:00harleeP4_260055000907500---0.020--1.007%
2014-11-17T02:17:00Jocelyn LaroucheManual testing6774167741---0.014--0.348%
2017-03-02T10:18:30Squeeky_Squirreli5-5250U_1600300000937500012---0.160--2.646%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-28T20:29:55ATH5960X25000009000000027P+12581.2681.703


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-21T00:00:00ANONYMOUSv4_computers21261--0.061--
2016-02-23T16:39:07Mark RoseManual testing261263--0.256--
2014-12-16T14:36:00VictordeHollanderManual testing263264--0.390--
2014-12-16T14:36:00VictordeHollanderManual testing264265--0.742--
2015-07-28T21:27:00snme2pm1Manual testing265266--1.483--
2016-05-18T12:49:21Gordon SpenceManual testing266267--2.967--
2018-06-11T12:29:25ramgeisManual testing267268--5.934--
2021-01-11T11:09:12TJAOIManual testing268269--11.87--
2021-04-01T00:00:38-Anonymous-Manual testing269270--23.73--
2021-04-01T00:00:38-Anonymous-Manual testing270271--47.47--
2021-04-02T23:59:23-Anonymous-Manual testing271272--94.94--
2021-04-05T14:38:46-Anonymous-Manual testing272273--189.9--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-01T00:00:00JG12v4_computers7161F579E3C727870.698
2000-03-27T00:00:00Dry Creek Photov4_computers4BDB165835DCC3__0.698
2001-05-20T00:00:00ANONYMOUSv4_computers7161F579E3C727870.698


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-29T00:50:28ATHec2-P_1
2911775173919567876047289
010230FB910128A1no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 90000000 (P+1 stage 2)
B1 = 2500000 (P+1 stage 1)
B1 = 300000, B2 = 9375000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 67741 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 25000, B2 = 331250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
261
250
260
270
280
290
2100
Last modified: 2021-10-29T00:50:28+00:00