is 2 1248241 - 1
has 375758 decimal digits
takes 0.040 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8D261500A322685Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26723.804668.6567%42184751560835650.57418.7493%24.378771.3990%2.7423%
PrimeNet2560.007762.5000%5500900000.00052.4357%0.008263.4134%0.9134%
GPU722600.123065.0000%5000320000.00030.8551%0.123365.2993%0.2993%
Difference+7+23.6816+3.6567%+4213475+156051565+0.5738+7.8942%+24.2554+6.0998%+6.0998%

Known prime factors (2 factors, 171.3 bits, 0.01372349% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1248241307320956413676255717932374.70212310161115268456
23 × 11 × 139888194491687
2018-10-05111398881944916875,809.0350,261654,189
12482411200894557790089699597904362233096.60048103473519540285073071
3 × 13 × 23 × 727 × 1181 × 604861 × 103262849
2015-07-206048611032628492.335e+100.28480.4829

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
124824136906006405202917798482439711506907232779332742578
39
52171.302
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.238%
2003-11-28T00:00:00eteov4_computers2000002000000---0.014--2.760%
2014-09-25T21:17:00Jocelyn LaroucheManual testing251419251419---0.012--1.372%
2015-01-17T16:24:00mikrMSI4218475156083565123096.6000.5740.0791.1488.749%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-17T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-01T00:00:00ANONYMOUSv4_computers21258--0.031--
2022-03-07T17:31:42LordJuliusManual testing258260--0.092--
2009-02-17T05:53:00Sturle Sundegoscha.ifi260261--0.123--
2012-09-14T15:01:00AxelssonManual testing261262--0.246--
2012-10-07T08:33:00dbaughManual testing262263--0.786--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.207 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:19.207 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001535.866
5000050000001284.907
25000025000000448.434


Lucas-Lehmer results:
No L-L results for M1248241


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T18:28:58Oliver KruseGTX-0
120089455779008969959790436223
1438AE9C2EC1A6__no
2017-10-20T15:11:50kkmrkkblmbrbkc4.xlarge
120089455779008969959790436223
1438AE9C2EC1A6__no
2018-10-07T16:55:32Oliver KruseGTX-3
30732095641367625571793
120089455779008969959790436223
098E076BE9D575__no
2018-10-07T17:04:25ATHec2-PRPCFDC
30732095641367625571793
120089455779008969959790436223
098E076BE9D575__no


P-1 factor-bounds graph:
B1 = 4218475, B2 = 156083565 (P-1 stage 2)
B1 = 4218475 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 251419 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:31:42+00:00