is 2 7500673 - 1
has 2257928 decimal digits
takes 1.636 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5A107FD9F7E5C874double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272127.499768.0556%310000010315995690178.634111.3139%306.133871.6697%
Target2673.961565.6716%5000011000000.03392.4374%3.995466.5084%
Difference+5+123.5382+2.3839%+3050000+10314895690+178.6002+8.8765%+302.1384+5.1613%

Known prime factors (1 factor, 129.4 bits, 0.00172568% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
750067392162697415335943809439563347437624112939129.43761436285394214588350565051527668
22 × 311 × 5669 × 22013 × 209519 × 1024339 × 1843961111		2023-02-01102433918439611111.791e+1032.07159.328

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-05Carsten Kossendeyleela40000640000---0.023--1.023%
2012-05-02James Heinrichi7-9201450003117500---0.097--2.135%
2020-12-12Dylan Delgadolaptop-ryzen737005000001500000012---0.408--3.693%
2023-02-01DRobinsonPE5700G31000001031599569039129.437178.63.271357.311.314%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21Mark Dv4_computers21261--0.041--
1998-10-18ANONYMOUSv4_computers21262--0.082--
1998-10-18ANONYMOUSv4_computers21263--0.213--
2013-10-18NesowaManual testing263264--0.262--
2013-11-28David CampeauManual testing264265--0.498--
2015-06-09VictordeHollanderManual testing265266--0.996--
2016-09-22Gordon SpenceManual testing266267--1.993--
2018-07-31ramgeisManual testing267268--3.985--
2020-05-31chuenkitManual testing268269--7.970--
2020-06-01Gordon SpenceManual testing268269--7.970--
2021-03-14-Anonymous-Manual testing269270--15.94--
2021-03-14-Anonymous-Manual testing270271--31.88--
2021-03-16-Anonymous-Manual testing271272--63.76--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27Orionv4_computers5A107FD9F7E5C8741.636
2002-04-07ANONYMOUSv4_computers5A107FD9F7E5C8741.636


PRP results:
dateuseridcompidcofactorsres64PRP
2023-02-07i8087r9-5900X
921626974153359438094395633474376241129
11F7D1BB07337518no


P-1 factor-bounds graph:
B1 = 3100000, B2 = 10315995690 (P-1 stage 2)
B1 = 3100000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 145000, B2 = 3117500 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
B1 = 40000, B2 = 640000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67.7
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-03-25T13:08:14+00:00