is 2 1030429 - 1
has 310191 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L77AAC9993396D014double-checked
PRP03FD47C9633206A1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271463.960571.8310%2800000085350951840200.984714.9440%664.945176.0406%4.2096%
PrimeNet2560.009364.2857%4500600000.00031.9511%0.009664.9826%0.6968%
GPU722600.149166.6667%4500180000.00020.6148%0.149366.8716%0.2049%
Difference+11+463.8114+5.1643%+27995500+85350933840+200.9844+14.3292%+664.7958+9.1690%+9.1690%

Known prime factors:
No known factors for M1030429

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers10000117500---0.001--0.259%
2002-11-09T00:00:00Jocelyn Larouchev4_computers1100011000---0.000--0.067%
2002-11-09T00:00:00Jocelyn Larouchev4_computers1500015000---0.001--0.094%
2002-11-16T00:00:00Jocelyn Larouchev4_computers2000020000---0.001--0.124%
2012-01-02T20:07:00bcp19Toshiba-740Q20000010000000---0.032--2.468%
2012-03-02T18:02:00bcp19Toshiba-740Q200000100000000---0.242--3.714%
2014-07-18T01:20:00Jocelyn LaroucheManual testing262288262288---0.011--0.807%
2014-10-18T13:18:00Jocelyn LaroucheManual testing324576324576---0.014--0.905%
2016-04-29T13:55:38Jocelyn LaroucheManual testing15738632832953412---0.130--4.171%
2016-05-05T13:51:13Jocelyn LaroucheManual testing157386310000000012---0.298--5.229%
2016-11-07T03:32:59Jocelyn Larouchelow 4M22663622266362---0.097--2.162%
2016-11-08T17:06:58Jocelyn Larouchelow 4M27196342719634---0.117--2.313%
2018-02-04T03:38:03Jocelyn Larouchelow 4M273963410000000012---0.345--5.551%
2018-10-21T20:52:08Jocelyn Larouchelow 4M273963420608580012---0.594--6.231%
2018-11-19T17:38:23Jocelyn LaroucheManual testing2739634207116229---0.596--6.236%
2022-01-31T16:13:47mognutsStrand1150003047384340---7.140--5.176%
2022-05-24T01:24:59axnManual testing2800000085350951840---201.0--14.944%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-04T00:00:00ANONYMOUSv4_computers21257--0.019--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.037--
2016-02-23T16:28:19Mark RoseManual testing258260--0.112--
2009-02-14T17:13:00Sturle Sundedanzi.ifi260261--0.149--
2010-11-08T09:10:00Michael CManual testing261262--0.298--
2010-11-29T00:12:00Michael CManual testing262263--0.953--
2010-11-29T00:12:00Michael CManual testing263264--1.905--
2013-03-22T15:19:00Never Odd Or EvenManual testing264265--3.626--
2013-03-22T15:19:00Never Odd Or EvenManual testing265266--7.252--
2013-03-22T15:19:00Never Odd Or EvenManual testing266267--14.50--
2013-03-22T15:19:00Never Odd Or EvenManual testing267268--29.01--
2013-05-05T21:20:00Never Odd Or EvenManual testing268269--58.02--
2013-05-05T21:20:00Never Odd Or EvenManual testing269270--116.0--
2014-04-01T16:42:00Never Odd Or EvenManual testing270271--232.1--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.483 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.483 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.81
25000025000000447.677


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computers77AAC9993396D0140.031
2016-06-01T18:46:57MadPooManual testing77AAC9993396D0140.031


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-01T05:34:35Ethan O'ConnorManual testing03FD47C9633206A1no


P-1 factor-bounds graph:
B1 = 28000000, B2 = 85350951840 (P-1 stage 2)
B1 = 115000, B2 = 3047384340 (P-1 stage 2)
B1 = 28000000 (P-1 stage 1)
B1 = 2739634, B2 = 207116229 (P-1 stage 2)
B1 = 2739634, B2 = 206085800 (P-1 stage 2)
B1 = 2739634, B2 = 100000000 (P-1 stage 2)
B1 = 1573863, B2 = 100000000 (P-1 stage 2)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 1573863, B2 = 28329534 (P-1 stage 2)
B1 = 2739634 (P-1 stage 1)
B1 = 2719634 (P-1 stage 1)
B1 = 2266362 (P-1 stage 1)
B1 = 1573863 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 324576 (P-1 stage 1)
B1 = 262288 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 10000, B2 = 117500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-05-24T01:24:59+00:00