is 2 5471 - 1
has 1647 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-LDBDAE2C9DD40D573double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2675,431.167580.5970%40000000000240000000000015.488022.3770%5,446.6555102.9740%35.4740%
PrimeNet2400.000067.5000%500100000.00002.6063%0.000070.1063%2.6063%
GPU722440.000470.4545%500100000.00001.0480%0.000471.5025%1.0480%
Difference+23+5,431.1671+10.1425%+39999999500+2399999990000+15.4880+21.3290%+5,446.6551+31.4715%+31.4715%

Known prime factors:
No known factors for M5,471

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers1000000100000000---0.001--3.887%
2001-06-17T00:00:00ANONYMOUSv4_computers430000004290000000---0.025--9.921%
2001-07-22T00:00:00ANONYMOUSv4_computers30000000004290000000---0.282--10.990%
2002-06-02T00:00:00ANONYMOUSv4_computers10737418244290000000---0.115--11.032%
2002-08-10T00:00:00ANONYMOUSv4_computers21474836484290000000---0.208--11.024%
2002-09-29T00:00:00ANONYMOUSv4_computers32212254724290000000---0.301--10.979%
2003-01-16T00:00:00ANONYMOUSv4_computers42900000002147483647---0.394--10.930%
2011-05-04T01:23:00Jocelyn LaroucheManual testing100000000002147483647---0.919--12.330%
2015-01-29T09:37:00JayderHPJared2455663842157162485888---1.000--17.057%
2016-03-21T04:32:02mikrColorovo40000000000240000000000012---15.49--22.377%
2016-11-28T04:26:55ANONYMOUSManual testing100000000000100000000000012---13.69--20.824%


P+1 Factoring results:
dateuseridcompidb1b2startfactordigitsbits*ghz-days
2021-05-12T20:59:54ATH5960X100000000024100000000027--1.317


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.110--
1999-12-30T00:00:00ANONYMOUSv4_computers253254--0.219--
2000-02-16T00:00:00ANONYMOUSv4_computers254255--0.439--
2000-08-10T00:00:00ANONYMOUSv4_computers?256--1.755--
2002-12-31T00:00:00ANONYMOUSv4_computers?257--3.509--
2016-02-23T04:51:06LaurVManual testing257258--3.509--
2011-01-16T20:16:00monstManual testing258260--21.06--
2012-09-29T16:29:00bcp19Manual testing260261--28.07--
2015-07-13T11:11:00Sid & AndyWoody261262--56.15--
2015-12-29T17:09:49snme2pm1G1262263--179.4--
2017-06-25T06:35:36snme2pm1g10263264--358.9--
2021-02-03T13:44:16Ruslan BorisovManual testing264265--682.9--


ECM factoring results:
Total ECM effort:374,116.307 GHz-days
Estimated T-Level:43.765
DigitsB1CurvesCompleteFacMiss
201100010217 / 100102.1700.000%
255000010217 / 28036.4890.000%
302500009827 / 64015.3550.000%
3510000009187 / 15805.8150.298%
4030000007304 / 47001.55421.136%
45110000007304 / 97000.75347.094%
50440000007304 / 171000.42765.237%
551100000007125 / 465000.15385.793%
602600000002780 / 1120000.02597.548%
658000000002096 / 3600000.00699.419%

ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.019
111111111111001000.015
250000250000006400.212
10000001000000001,8802.485
44000000440000000017910.41
110000000110000000002,345341.0
1100000009005141537822,0007,941
26000000031785598845166849,508
850000000148993823979181,34487,132
10000000001907117672461644436,809
2900000000105101237217912240109,093
760000000042000000000000068123,278
various130.0050


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testingDBDAE2C9DD40D5733.46649e-7


PRP results:
Exponent "5471" not found


P-1 factor-bounds graph:
B1 = 40000000000, B2 = 2400000000000 (stage 2)
B1 = 100000000000, B2 = 1000000000000 (stage 2)
B1 = 100000000000 (stage 1)
B1 = 40000000000 (stage 1)
B1 = 2455663842, B2 = 157162485888 (stage 2)
B1 = 10000000000 (stage 1)
B1 = 4290000000 (stage 1)
B1 = 3221225472, B2 = 4290000000 (stage 2)
B1 = 3221225472 (stage 1)
B1 = 3000000000, B2 = 4290000000 (stage 2)
B1 = 3000000000 (stage 1)
B1 = 2455663842 (stage 1)
B1 = 2147483648, B2 = 4290000000 (stage 2)
B1 = 2147483648 (stage 1)
B1 = 1073741824, B2 = 4290000000 (stage 2)
B1 = 1073741824 (stage 1)
B1 = 43000000, B2 = 4290000000 (stage 2)
B1 = 43000000 (stage 1)
B1 = 1000000, B2 = 100000000 (stage 2)
B1 = 1000000 (stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2021-05-12T20:59:54+00:00