is 2 1305307 - 1
has 392937 decimal digits
takes 0.041 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L584B5B1A2186B064double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26722.763968.6567%500000150000000.05934.8658%22.823270.1818%1.5251%
PrimeNet2560.007462.5000%60001000000.00052.5957%0.007963.4734%0.9734%
GPU722600.117765.0000%5500360000.00030.9358%0.118065.3275%0.3275%
Difference+7+22.6463+3.6567%+494500+14964000+0.0590+3.9299%+22.7052+4.8543%+4.8543%

Known prime factors (1 factor, 62.8 bits, 0.00480773% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
130530777864969352007713831962.7562982630498113
7 × 426090071159
2009-10-3174260900711591.15321,066.91,992.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers100001000000---0.003--1.010%
2016-03-17T19:04:43alpertronManual testing5000001500000012---0.059--4.866%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-17T00:00:00ANONYMOUSv4_computers21258--0.029--
2022-03-07T17:32:09LordJuliusManual testing258260--0.088--
2009-02-16T16:13:00Sturle Sundegoldiek.ifi260261--0.118--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.684 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000298 / 1002.9805.004%
2550000298 / 2801.06434.432%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:20.684 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.5380.000%
25500001.64019.395%
302500000.14086.925%
3510000000.01099.024%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002489.57
250000350000005011.11


Lucas-Lehmer results:
No L-L results for M1305307


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T01:13:09Oliver KruseGTX-2
7786496935200771383
21AE21BFCCD558__no
2017-10-22T22:34:40kkmrkkblmbrbkc4.xlarge
7786496935200771383
21AE21BFCCD558__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-03-07T17:32:09+00:00