is 2 5035243 - 1
has 1515760 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-LCF6D55777DC72830double-checked
PRP817757AF7E3ABD8Dverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272189.928068.0556%30000093750000.15972.9451%190.087768.9964%0.9408%
PrimeNet2610.061062.2951%220004500000.00913.3171%0.070163.5458%1.2507%
GPU722651.448964.6154%340007000000.01412.4189%1.463165.4713%0.8559%
Difference+7+188.4791+3.4402%+266000+8675000+0.1455+0.5263%+188.6246+3.5251%+3.5251%

Known prime factors (1 factor, 99.0 bits, 0.00196712% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
50352436558857123950615470882861015673099.04965129499449685104282781
3 × 131 × 229 × 271 × 2083 × 86711 × 14784851
2021-10-2786711147848513.317e+100.17840.3024

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-06-11T00:00:00JG12v4_computers25000231250---0.007--0.590%
2009-08-08T12:06:00harleeP4_260055000907500---0.020--1.154%
2014-11-17T02:17:00Jocelyn LaroucheManual testing6774767747---0.014--0.406%
2017-03-01T09:12:45Squeeky_Squirreli5-5250U_1600300000937500012---0.160--2.945%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-27T02:38:07ATH5960X25000008750000027P-13099.0491.676


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-26T00:00:00ANONYMOUSv4_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--1.484--
2016-05-17T12:45:09Gordon SpenceManual testing266267--2.968--
2018-06-11T12:29:24ramgeisManual testing267268--5.936--
2021-01-18T12:08:20TJAOIManual testing268269--11.87--
2021-04-01T17:32:13-Anonymous-Manual testing269270--23.75--
2021-04-01T17:32:14-Anonymous-Manual testing270271--47.49--
2021-04-03T20:37:38-Anonymous-Manual testing271272--94.98--


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)
1998-06-20T00:00:00ANONYMOUSv4_computersCF6D55777DC728300.698
2000-07-25T00:00:00JG12v4_computersCF6D55777DC728300.698


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-27T05:19:36ATHec2-PRPCF
655885712395061547088286101567
817757AF7E3ABD8Dno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 87500000 (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 = 67747 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 25000, B2 = 231250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
261
250
260
270
280
290
2100
Last modified: 2021-10-27T05:19:36+00:00