M58188539 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	1.0243	61.7647%	-	-	-	-	1.0243	61.7647%	0.0000%
PrimeNet	2⁶⁹	2.0517	62.3188%	260000	11000000	2.5973	5.5431%	4.6490	64.4075%	2.0887%
GPU72	2⁷³	32.8732	64.3836%	400000	13000000	3.3390	4.0790%	36.2122	65.8364%	1.4528%
Difference	-5	-31.8489	-2.6189%	-400000	-13000000	-3.3390	-4.0790%	-35.1878	-4.0716%	-4.0716%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
58188539	465508313	9	28.794	4 2²	-	4	4	6.151e-13	1.229e-5	2.502e-5
58188539	47598224903	11	35.470	409 409	2008-09-11	1	409	8.563e-11	7.139e-5	0.0001
58188539	10923773529168209	17	53.278	93865336 2³ × 61 × 192347	2014-09-15	61	192347	2.417e-5	0.0324	0.0602
58188539	43116499404930361	17	55.259	370489620 2² × 3 × 5 × 6174827	2014-09-15	5	6174827	0.0001	1.0339	1.9310
58188539	56009516935926977	17	55.637	481276192 2⁵ × 2203 × 6827	2015-01-15	2203	6827	0.0001	0.0075	0.0138

exponent	prime factors	composite factor	digits	bits*
58188539	465508313 47598224903	22157369376390118639	20	64.264
58188539	465508313 10923773529168209	5085107387157149264821417	25	82.073
58188539	465508313 43116499404930361	20071088900454636231590993	26	84.053
58188539	465508313 56009516935926977	26072895740788296154459801	26	84.431
58188539	47598224903 10923773529168209	519952229230786442499708727	27	88.749
58188539	47598224903 43116499404930361	2052268835705940989930979983	28	90.729
58188539	47598224903 56009516935926977	2665953583824639692030908231	28	91.107
58188539	10923773529168209 43116499404930361	470994874869975112828617900093449	33	108.537
58188539	10923773529168209 56009516935926977	611835278486177605263867173874193	33	108.915
58188539	43116499404930361 56009516935926977	2414934303638332480194047666248697	34	110.896
58188539	465508313 47598224903 10923773529168209	242042085069812684511310912497147551	36	117.543
58188539	465508313 47598224903 43116499404930361	955348203531946754300320478323098679	36	119.524
58188539	465508313 47598224903 56009516935926977	1241023555342512110870147634470624303	37	119.901
58188539	465508313 10923773529168209 43116499404930361	219252029632368209124834576794103986341537	42	137.332
58188539	465508313 10923773529168209 56009516935926977	284814408321985730844762727966253257666409	42	137.709
58188539	465508313 43116499404930361 56009516935926977	1124171993692509914988237041757017978918161	43	139.690
58188539	47598224903 10923773529168209 43116499404930361	22418519982221418302429355303299570218960447	44	144.008
58188539	47598224903 10923773529168209 56009516935926977	29122273188974719032151506401582844241628279	44	144.385
58188539	47598224903 43116499404930361 56009516935926977	114946586110547040564166073900007762136701391	45	146.366
58188539	10923773529168209 43116499404930361 56009516935926977	26380195420764678421125354948092703583233740073673	50	164.174
58188539	465508313 47598224903 10923773529168209 43116499404930361	10436007416880682426431212988916586266253318296695 911	53	172.802
58188539	465508313 47598224903 10923773529168209 56009516935926977	13556660262924751656305840505409530352662144530383 327	53	173.179
58188539	465508313 47598224903 43116499404930361 56009516935926977	53508591385429984360167517313025944039161139909163 383	53	175.160
58188539	465508313 10923773529168209 43116499404930361 56009516935926977	12280200266930490621805567543412837012640193426376 013943649	59	192.968
58188539	47598224903 10923773529168209 43116499404930361 56009516935926977	12556504746226478797271955911750203960480735400445 31243278719	61	199.644
58188539	465508313 47598224903 10923773529168209 43116499404930361 56009516935926977	58451573415923812608483371986892143230493058052606 7683934469070491047	69	228.438

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-11T00:34:00	Will Edgington	Manual testing	?	?	47598224903	35.470	11	6.96398e-12	253.5	1.43149e-11
2014-09-15T11:42:00	TJAOI	Manual testing	2⁵³	2⁵⁴*	10923773529168209	53.278	17	3.55293e-6	253.5	7.30330e-6
2015-01-15T12:15:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	43116499404930361	55.259	17	4.60632e-5	253.5	9.46860e-5
2015-02-05T12:06:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	56009516935926977	55.637	17	2.77093e-5	253.5	5.69584e-5
2022-08-10T19:29:26	LordJulius	Manual testing	2¹	2⁶⁶	10923773529168209	53.278	17	2.41742e-5	253.5	4.96918e-5
2022-08-10T19:29:26	LordJulius	Manual testing	2¹	2⁶⁶	465508313	28.794	9	6.15095e-13	253.5	1.26437e-12
2022-08-10T19:29:26	LordJulius	Manual testing	2¹	2⁶⁶	47598224903	35.470	11	8.56280e-11	253.5	1.76014e-10
2022-08-10T19:29:26	LordJulius	Manual testing	2¹	2⁶⁶	56009516935926977	55.637	17	0.000	253.5	0.000
2022-08-10T19:29:27	LordJulius	Manual testing	2¹	2⁶⁶	465508313 47598224903	64.264	20	0.088	253.4	0.181
2022-08-10T19:29:27	LordJulius	Manual testing	2¹	2⁶⁶	43116499404930361	55.259	17	0.000	253.5	0.000
2022-08-10T19:29:27	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.257	-	-
2022-08-10T19:29:27	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	0.514	-	-

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront