is 2 51949 - 1
has 15639 decimal digits
takes 0.000 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
Actual267571.982576.1194 %68000000084490380635661065,821.272830.9367 %66,393.255383.5073 %
Target2440.000063.6364 %500500000.00002.0624 %0.000064.3863 %
Difference+23+571.9824+12.4830 %+679999500+844903806306610+65,821.2728+28.8743%+66,393.2552+19.1209 %

Known prime factors (1 factor, 50.9 bits, 0.09807671% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5194921748994077612571650.95020933024772
22 × 3 × 11 × 73 × 1009 × 2153
2014-04-23100921530.00291.532e-62.936e-6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-19kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 2174899407761257
---39.564%
2023-04-12JacobZGreatLakes680000000844903806356610
skipped known factor: 2174899407761257
--124,22671.022%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-27ATHcolab-Pp115000000150000000027--0.146


Trial Factoring results:
5758596061626364656667
No TF results for M51949


ECM factoring results:
Total ECM effort:1,224.329 GHz-days
Estimated T-Level:35.531
DigitsB1CompleteFacMiss
2011000270.7650.000%
255000052.5370.000%
302500008.2360.027%
3510000001.03035.716%
4030000000.10689.918%
45110000000.00999.078%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.269
250000250000005843.004
100000010000000058013.80
100000033080147105014.15
1000000413504091010.350
2010069310592332053001,193


Lucas-Lehmer results:
No L-L results for M51949


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
2174899407761257
13FF4176747A3AE1
2017-09-21Oliver KruseManual testing
2174899407761257
13FF4176747A3AE1
2017-10-13kkmrkkblmbrbkManual testing
2174899407761257
13FF4176747A3AE1
2020-04-17Oliver KruseAddPrpType5
2174899407761257
513DD140F4E29DE4


CERT results:
No CERT results for M51949


P-1 factor-bounds graph:
B1 = 680000000, B2 = 844903806356610 (P-1 stage 2)
B1 = 680000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.53 ~= 101-bit
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Last modified: 2024-03-03T02:29:32+00:00