is 2 1853617 - 1
has 557995 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0C7BCBC2BC622083double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26832.156069.1176 %2500000069189473430298.388218.0222 %330.544274.6833 %
Target2610.165765.5738 %90007500000.00391.6316 %0.169666.1355 %
Difference+7+31.9903+3.5439 %+24991000+69188723430+298.3843+16.3906%+330.3746+8.5479 %

Known prime factors:
No known factors for M1853617

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-07Carsten Kossendeymother10000017000006--0.0154.970%
2014-05-21JossManual testing134626134626--0.0112.342%
2014-09-25JossManual testing169252169252--0.0132.589%
2015-07-19mikrMSI27800009176000012--0.60012.895%
2018-08-14JossManual testing185361718536170012--0.93213.792%
2018-10-25JossManual testing185361720389787012--1.01213.948%
2023-01-09JossManual testing18536171645373730--8.71417.280%
2023-06-10JossJoss18536178777700750--45.7619.850%
2023-12-10kurlybeans2500000069189473430--298.426.087%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-10-27masserManual testing200000440000012413--0.042
2022-10-29masserManual testing4000001080000065--0.092
2022-10-31masserManual testing8000002560000027--0.200


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-09ANONYMOUSv4_computers212580.021
2010-04-13Architects Cubeda3_bu22602610.083
2011-01-21GrunwalderGIMPManual testing212630.861
2016-02-23Mark RoseManual testing2582630.757
2015-05-06snme2pm1Manual testing2632653.075
2015-09-09ramgeisManual testing2652664.031
2018-06-11TJAOIManual testing2662678.063
2019-06-10TJAOIManual testing26726816.13


ECM factoring results:
Total ECM effort:37.106 GHz-days
Estimated T-Level:25.681
DigitsB1CompleteFacMiss
201100014.4350.000%
25500001.62019.795%
302500000.13687.266%
3510000000.00999.073%


ECM Summary

B1B2factorcurvesGHz-days
49000490000010.068
50000500000019813.59
500006600000544.212
74000740000010.102
1999001999000010.277
250000400000004418.86


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16ANONYMOUSv4_computers0C7BCBC2BC6220830.101
2015-07-06MadPooManual testing0C7BCBC2BC6220830.101


PRP results:
No PRP results for M1853617


CERT results:
No CERT results for M1853617


P-1 factor-bounds graph:
B1 = 25000000, B2 = 69189473430 (P-1 stage 2)
B1 = 1853617, B2 = 8777700750 (P-1 stage 2)
B1 = 1853617, B2 = 1645373730 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 1853617, B2 = 203897870 (P-1 stage 2)
B1 = 1853617, B2 = 185361700 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1853617 (P-1 stage 1)
B1 = 100000, B2 = 1700000 (P-1 stage 2)
B1 = 169252 (P-1 stage 1)
B1 = 134626 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
104
105
106
107
108
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
263
261
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.68 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00