is 2 5211229 - 1
has 1568737 decimal digits
takes 0.823 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L59EED64B2E7CC2ECdouble-checked
PRPABB2B3953A69328D

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27191.740067.6056%25000002025000003.06757.2692%94.807669.9604%2.3548%
PrimeNet2620.117962.9032%220005000000.01103.0039%0.128964.0176%1.1143%
GPU722662.834065.1515%300006000000.01401.9879%2.847965.8443%0.6928%
Difference+5+88.9061+2.4541%+2470000+201900000+3.0536+5.2812%+91.9596+4.1162%+4.1162%

Known prime factors (2 factors, 204.6 bits, 0.00392648% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
521122918244159768952615077963440412890.559175046613466349445380
22 × 5 × 7 × 19 × 29 × 273899 × 8284830583
2021-08-30273899828483058353,948,252103.42193.04
52112292162351345906009062881403684535233735114.0582074703823134628187402053992
23 × 67 × 647 × 5197 × 44579 × 1192253 × 21658859
2021-08-301192253216588592.872e+100.52830.5556

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
521122939450283431318950550428890382227877853835572307542
631115373817
62204.618
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-24T09:24:00Carsten Kossendeyleela25000337500---0.010--0.782%
2010-06-08T11:25:00Squeeky_SquirrelP4_260060000975000---0.025--1.386%
2018-04-16T04:49:28Squeeky_SquirrelP4_2600310000922250012---0.182--3.295%
2021-08-30T03:05:51happy5214Manual testing250000020250000035114.0583.0681.6466.1357.269%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-30T03:05:51happy5214Manual testing1250000125000027P+12890.5590.435
2021-09-04T05:56:58happy5214Manual testing12500007500000065--1.337
2021-09-04T08:42:55happy5214Manual testing12500007625000027--1.352


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-12T00:00:00ANONYMOUSv4_computers?261--0.029--
1998-05-23T00:00:00ANONYMOUSv4_computers?262--0.059--
1998-06-14T00:00:00ANONYMOUSv4_computers?262--0.059--
2016-02-23T16:39:10Mark RoseManual testing262263--0.188--
2014-12-19T09:42:00VictordeHollanderManual testing263264--0.377--
2014-12-19T09:42:00VictordeHollanderManual testing264265--0.717--
2015-08-10T23:25:00snme2pm1Manual testing265266--1.434--
2016-05-29T01:06:05Gordon SpenceManual testing266267--2.868--
2018-06-17T22:02:56ramgeisManual testing267268--5.736--
2020-12-08T10:40:00TJAOIManual testing268269--11.47--
2021-08-18T06:10:31SRBaseManual testing269270--22.94--
2021-08-23T16:38:52SRBaseManual testing270271--45.89--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.161 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:2.161 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers93C2DA7A9377BA__0.823
2000-05-17T00:00:00ANONYMOUSv4_computers24E7ABE905EC95__0.823
2001-06-03T00:00:00Benoit Germainv4_computers59EED64B2E7CC2EC0.823


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-30T03:38:46happy5214Manual testing
1824415976895261507796344041
21623513459060090628814036845352337
ABB2B3953A69328Dno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 202500000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1250000 (P+1 stage 1)
B1 = 310000, B2 = 9222500 (P-1 stage 2)
B1 = 310000 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 337500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
2110
2120
Last modified: 2021-09-04T08:42:55+00:00