is 2 2784227 - 1
has 838136 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.672267.1642 %3300002612540701.62907.7920 %12.301369.7227 %
Target2630.573265.0794 %1500012000000.00891.7480 %0.582165.6898 %
Difference+4+10.0990+2.0848 %+315000+260054070+1.6201+6.0440%+11.7191+4.0330 %

Known prime factors (2 factors, 113.6 bits, 0.00408087% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2784227631983445418091445.84511349352
23 × 7 × 202667
-82026671.683e-60.00120.0023
27842272526600688291607182632167.77645373467901353
3 × 17 × 563 × 8941 × 176741
2018-04-25894117674110.6720.00200.0020

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-12-12USAFSSUSAFSACS330000261254070
skipped known factor: 63198344541809
skipped known factor: 252660068829160718263
--1.79511.036%


Trial Factoring results:
5758596061626364656667
No TF results for M2784227


ECM factoring results:
Total ECM effort:0.414 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.312
50000500000010.101


Lucas-Lehmer results:
No L-L results for M2784227


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-2
63198344541809
97A582C0AA527F11
2017-12-06kkmrkkblmbrbkc4.xlarge
63198344541809
97A582C0AA527F11
2018-04-27Oliver KruseGTX-1
63198344541809
252660068829160718263
97A582C0AA527F11


CERT results:
No CERT results for M2784227


P-1 factor-bounds graph:
B1 = 330000, B2 = 261254070 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
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Last modified: 2024-03-03T02:29:32+00:00