is 2 15527 - 1
has 4675 decimal digits
takes 0.000 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
Actualunknown10000000462685167945087.119263.8010%87.119263.8010%63.8010%
PrimeNet2400.000065.0000%500100000.00003.4590%0.000066.2106%1.2106%
GPU722440.000268.1818%500100000.00001.4451%0.000268.6416%0.4598%
Difference-44-0.0002-68.1818%+9999500+4626851669450+87.1192+62.3559%+87.1190-4.8406%-4.8406%

Known prime factors (3 factors, 237.4 bits, 1.52884279% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
155274576102534091238.73514735952
24 × 33 × 7 × 11 × 443
-274433.773e-61.716e-81.899e-8
1552767619413586323265450092272.518217747837915641352
23 × 11 × 6359 × 87803 × 4431727
2008-08-2987803443172775,0860.00010.0002
155279310278083484246342795121906103995906338126.1302998093026175129240289534973305853
33 × 101 × 2508740581 × 438232125578211647519
2021-12-1025087405814382321255782116475191.012e+138.251e+91.541e+10

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
15527309433369866053669992080593418568134111.253
155274260478713091484826585857216821296670589441619576750164.865
1552762955554433080238060409187692156285862698372994679
7586966567
60198.648
1552728809107217625941071253895030039481855261646646627
4065859800440480776903
72237.383
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:46:52Lisander ViaeneManual testing5000050000-
skipped known factor: 457610253409
--1.72792e-5--6.340%
2022-04-11T00:31:48Ethan O'ConnorManual testing100000004626851679450-
skipped known factor: 457610253409
skipped known factor: 6761941358632326545009
--87.12--53.969%


Trial Factoring results:
No TF results for M15527


ECM factoring results:

Old Calculation Method

Total ECM effort:21.241 GHz-days
Estimated T-Level:35.957
DigitsB1CurvesCompleteFacMiss
20110003116 / 10031.1600.000%
25500003116 / 28011.1290.001%
302500002968 / 6404.6380.965%
3510000002296 / 15801.45323.372%
403000000900 / 47000.19182.571%

New Calculation Method

Total ECM effort:21.241 GHz-days
Estimated T-Level:35.957
DigitsB1CompleteFacMiss
2011000440.2030.000%
255000091.2710.000%
3025000015.4380.000%
3510000002.13611.809%
4030000000.24977.982%
45110000000.02597.504%
50440000000.00299.771%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001480.037
250000250000006720.835
10000001000000001,3966.942
30000003000000003965.908
30000003000000005047.519


Lucas-Lehmer results:
No L-L results for M15527


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:15:22Oliver KrusePRP
457610253409
6761941358632326545009
9B558421B8EFDB__no
2017-09-21T21:28:31Oliver KruseManual testing
457610253409
6761941358632326545009
9B558421B8EFDB__no
2017-10-12T16:01:22kkmrkkblmbrbkManual testing
457610253409
6761941358632326545009
9B558421B8EFDB__no
2020-04-17T13:48:11Oliver KruseManual testing
457610253409
6761941358632326545009
FB50DE0076F70B__no
2021-12-10T10:44:41nordisweet16_ccx1
457610253409
6761941358632326545009
93102780834842463427951219061039959063
FB50DE0076F70B54no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 4626851679450 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-11T00:31:48+00:00