is 2 1251697 - 1
has 376799 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-L808E5E0C19E5CFD4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26723.738968.6567%300000100000000.03814.1839%23.777069.9681%1.3114%
PrimeNet2560.007762.5000%5500900000.00052.4371%0.008163.4139%0.9139%
GPU722600.122765.0000%5000320000.00030.8556%0.123065.2995%0.2995%
Difference+7+23.6162+3.6567%+295000+9968000+0.0378+3.3283%+23.6540+4.6686%+4.6686%

Known prime factors (2 factors, 155.5 bits, 0.01242523% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1251697114340172750698875090732373.2764567406199371688
23 × 3 × 11787439 × 16145033
2013-09-1211787439161450331,623.50.55261.1025
125169757524177614629208889548392582.2502297847546755692827
3 × 72 × 15631615964324441
2018-02-0249156316159643244411,234,23339,139,39573,101,491

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
12516976577324405798588886476391205422363753609975424747155.526
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--2.761%
2016-03-17T19:03:44alpertronManual testing3000001000000012---0.038--4.184%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-14T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-01T00:00:00ANONYMOUSv4_computers21258--0.031--
2022-03-07T17:32:03LordJuliusManual testing258260--0.092--
2009-02-17T01:10:00Sturle Sundegilia.ifi260261--0.123--
2011-05-09T14:41:00XyzzyManual testing261262--0.245--
2012-10-07T08:33:00dbaughManual testing262263--0.784--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.177 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:19.177 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002369.052
500005000000441.688
25000025000000448.438


Lucas-Lehmer results:
No L-L results for M1251697


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T18:54:20Oliver KruseGTX-2
11434017275069887509073
D421C86FE92F87__no
2017-10-20T17:49:50kkmrkkblmbrbkc4.xlarge
11434017275069887509073
D421C86FE92F87__no
2018-02-02T20:07:01MaximeGMSI_GS63VR
11434017275069887509073
5752417761462920888954839
DAEB5224259695__no
2018-02-09T02:26:19Oliver KruseGTX-3
11434017275069887509073
5752417761462920888954839
DAEB5224259695__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
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
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
267
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:32:03+00:00