is 2 1914593 - 1
has 576350 decimal digits
takes 0.104 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.519768.6567%20000002620000001.27169.2395%16.791371.5527%2.8960%
PrimeNet2570.010063.1579%90001700000.00143.0912%0.011464.2968%1.1389%
GPU722610.160465.5738%100001700000.00151.7606%0.161966.1799%0.6061%
Difference+6+15.3593+3.0829%+1990000+261830000+1.2701+7.4789%+16.6294+5.3728%+5.3728%

Known prime factors (3 factors, 144.4 bits, 0.00754097% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1914593241238719927.84663
32 × 7
-999.466e-127.080e-71.441e-6
1914593857239869831136.31922387
61 × 367
2008-07-15613678.825e-96.110e-69.766e-6
191459314023308258749224315257532580.214366221652819926332
22 × 11 × 13 × 101 × 131 × 601 × 80515751
2021-01-1960180515751137,6390.34510.6445

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1914593206799448073515947772064.165
191459333829649204827834160563786923040733108.060
191459312021338946316149010624835900127319936116.533
19145932900012408074117556336252802131926589579208144144.379
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:42:23alpertronManual testing5000001500000012-
skipped known factor: 241238719
skipped known factor: 85723986983
--0.101--5.096%
2021-04-07T16:26:08Dylan Delgadodesktoplinux100000071000000-
skipped known factor: 241238719
skipped known factor: 85723986983
--0.379--7.167%
2021-07-11T19:28:56Dylan Delgadolaptop-i787502000000262000000-
skipped known factor: 241238719
skipped known factor: 85723986983
skipped known factor: 1402330825874922431525753
--1.272--9.239%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:48:00J FeitsmaManual testing??36.319114.04360e-90.2218.61892e-9


ECM factoring results:

Old Calculation Method

Total ECM effort:40.105 GHz-days
DigitsB1CurvesCompleteFacMiss
2011000473 / 1004.7300.862%
2550000473 / 2801.68918.409%

New Calculation Method

Total ECM effort:40.105 GHz-days
DigitsB1CompleteFacMiss
201100020.3720.000%
25500001.96214.052%
302500000.12688.143%
3510000000.00699.407%


ECM Summary

B1B2factorcurvesGHz-days
50000455000070.468
500005000000271.875
50000670000070.552
50000800000043237.21


Lucas-Lehmer results:
No L-L results for M1914593


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:14:46alpertronManual testing
241238719
85723986983
39F534C62EB320__no
2017-10-20T04:05:25Oliver KruseThreadripper
241238719
85723986983
39F534C62EB320__no
2021-01-19T21:12:58MarkSdesktop-i7
241238719
85723986983
1402330825874922431525753
20F88CFFC6DBD386no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 262000000 (P-1 stage 2)
B1 = 1000000, B2 = 71000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-01-06T11:58:41+00:00