is 2 1827277 - 1
has 550066 decimal digits
takes 0.099 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
Actual26716.261368.6567%500000150000000.10155.0677%16.362870.2451%1.5884%
PrimeNet2570.010563.1579%80001500000.00122.8783%0.011764.2183%1.0604%
GPU722610.168165.5738%90001400000.00131.5941%0.169466.1226%0.5488%
Difference+6+16.0932+3.0829%+491000+14860000+0.1002+3.4736%+16.1934+4.1225%+4.1225%

Known prime factors (2 factors, 104.3 bits, 0.00570794% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1827277131856308331133.6183608
23 × 11 × 41
-11411.115e-99.939e-71.761e-6
182727718937082588219650081032270.682518177665132863
3 × 31 × 578957 × 9623863
2020-09-015789579623863219.230.08430.0927

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18272772496973800622964606849001163979932104.300
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:38:59alpertronManual testing5000001500000012-
skipped known factor: 13185630833
--0.101--5.068%


Trial Factoring results:
No TF results for M1827277


ECM factoring results:

Old Calculation Method

Total ECM effort:19.760 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.760 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8140.015%
25500000.79845.000%
302500000.04995.180%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.072
50000500000070.483
50000660000022117.20


Lucas-Lehmer results:
No L-L results for M1827277


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T00:56:03Oliver KruseGTX-3
13185630833
A5F4FCC0EE67D4__no
2017-11-06T07:40:15kkmrkkblmbrbkold
13185630833
A5F4FCC0EE67D4__no
2020-09-02T22:40:40Massimo Cappelli (ik5pwa)maxlinux_8
13185630833
1893708258821965008103
9A8EAF7CB400A0C2no
2020-09-03T18:54:01kutensrigel
13185630833
1893708258821965008103
9A8EAF7CB400A0C2no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2021-04-16T16:25:03+00:00