is 2 27751 - 1
has 8354 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
Actual2671,070.733277.6119%500000000100000000000.668113.6287%1,071.401380.6631%3.0512%
PrimeNet2400.000062.5000%500100000.00004.0226%0.000064.0085%1.5085%
GPU722440.000165.9091%500100000.00001.7187%0.000166.4950%0.5859%
Difference+23+1,070.7331+11.7028%+499999500+9999990000+0.6681+11.9100%+1,071.4012+14.1681%+14.1681%

Known prime factors (5 factors, 301.5 bits, 1.08645022% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2775145789151825.449825
3 × 52 × 11
-25251.898e-101.641e-83.340e-8
2775143992588001371342.000479263068
22 × 419 × 47293
2008-08-26419472933.184e-51.952e-63.160e-6
277515546207766115911548.9789992807045
5 × 13 × 9661 × 15913
2008-08-269661159130.00176.566e-61.291e-5
27751957268781858216087082072376.3411724746462935058353
3 × 7 × 31 × 173 × 15314335996511
2011-03-2017315314335996511884,871547.791,023.1
2775153903002933995859859840079702904133108.7329711902802420788414803084520
23 × 5 × 59 × 4115213051873215430001307
2018-03-245941152130518732154300013075.718e+121.472e+142.749e+14

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
277512014383254875519136872167.449
27751253956144880054086492412374.427
2775124399203322473589351465879672890.979
27751438325248000919170020300526225731101.790
2775111172188052124448763262632355574601736116.427
2775142112731126861832965119383736462435936118.342
277515309211552202354997585894740009302733738125.320
277512468172740698179460497056245368310973419141134.181
277511928306204590276625776629194935822683252920944143.790
27751237133260011191817053925670026500338400377861746150.732
27751243104289454738015540065169720391704278102088746150.768
2775129895725348949652043657218168265975581160421423148157.711
2775123356595642815231586505448825528904712475056034516
9
51167.320
2775110858130649774723801046577647619597996566000366438
4167
54176.181
2775113688998822575833088244789549466741640480672917659
607881
56183.159
2775151599661957126064487063209526047211833993654579474
039487
56185.073
2775110694786847348087042144675585949156727441319244979
555461519
59192.769
2775113151903282784554188280310354024501270505753681190
01760149647
61199.711
2775123627047129038008928338748475328142157957223825813
78294650205537
64210.522
2775160221448535281765219484956112729134637487980167681
557564757969079697
68225.159
2775122700026694898121559220658149843468558122919207416
8598262120179009719
69227.074
2775128618244587556825471661726134094372217250684214707
858650049689195893817
71234.052
2775110394149500367210176915101583425632081716426241492
109145282558456823053758569
77252.522
2775113104051227745722026025649988746934577058963843605
74560613781376093850566579367
79259.500
2775112589906434628243446476728440822230348758651333133
7980332802192267357605722677052929
84276.052
2775157648112681106426803548333656280366959609254844921
47813493709834861069779434123700800973279
91301.501
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-22T01:05:43kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 45789151
skipped known factor: 4399258800137
skipped known factor: 554620776611591
--0.668--13.629%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??42.0004131.07300e-52.57981e-52.20306e-5
2008-08-26T19:59:00ANONYMOUSManual testing??48.978150.0002.57981e-50.001


ECM factoring results:

Old Calculation Method

Total ECM effort:15.776 GHz-days
Estimated T-Level:31.617
DigitsB1CurvesCompleteFacMiss
20110001286 / 10012.8600.000%
25500001286 / 2804.5931.004%
302500001111 / 6401.73617.600%
351000000511 / 15800.32372.360%
403000000500 / 47000.10689.907%

New Calculation Method

Total ECM effort:15.776 GHz-days
Estimated T-Level:31.617
DigitsB1CompleteFacMiss
2011000157.2560.000%
255000031.8700.000%
302500005.4910.412%
3510000000.79645.113%
4030000000.09890.628%
45110000000.01198.945%
50440000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001740.082
2000002000000010.002
250000250000006001.417
1000000100000000110.104
300000030000000038210.83
30000003000000001183.344


Lucas-Lehmer results:
No L-L results for M27751


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:37:33Oliver KruseOllaptop
45789151
4399258800137
554620776611591
95726878185821608708207
4760CF42449C9455no
2017-09-21T21:28:57Oliver KruseManual testing
45789151
4399258800137
554620776611591
95726878185821608708207
4760CF42449C9455no
2017-10-02T10:28:52kkmrkkblmbrbkManual testing
45789151
4399258800137
554620776611591
95726878185821608708207
4760CF42449C94__no
2017-12-07T03:11:55ATHxps
45789151
4399258800137
554620776611591
95726878185821608708207
4760CF42449C94__no
2018-03-24T09:36:51ATHxps
45789151
4399258800137
554620776611591
95726878185821608708207
539030029339958598598400797029041
A200A8F8C5457C__no
2018-03-26T11:53:15Oliver KruseGTX-4
45789151
4399258800137
554620776611591
95726878185821608708207
539030029339958598598400797029041
A200A8F8C5457C__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
100
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TF factor-bounds graph:
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Last modified: 2018-03-28T07:34:24+00:00