M15 153 419 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	63.1101	66.6667%	480000	449768550	18.1502	6.8025%	81.2603	68.9342%
Target	2⁶⁹	7.8785	65.2174%	100000	13000000	0.5838	2.9978%	8.4624	66.2601%
Difference	+3	+55.2316	+1.4493%	+380000	+436768550	+17.5664	+3.8047%	+72.7979	+2.6740%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15153419	918959785859034882328087367	27	89.570	30321862869991085257 31 × 53881 × 18153423446287	2022-11-22	53881	18153423446287	14,786,638	719,251	1,343,361

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-16	ANONYMOUS	v4_computers	225000	225000		-		-	-	0.164	-	-	1.033%
2016-08-08	Tha	Manual testing	300000	6000000	12	-		-	-	0.444	-	-	3.108%
2023-10-22	nordi	sweet16_30.8b14	480000	480000		-		-	-	0.349	-	-	1.496%
2023-11-05	nordi	sweet16_30.8b14	480000	449768550		-		-	-	18.15	-	-	6.802%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2022-11-22	ATH	ec2-P_1	1000000	1000000	2	7	918959785859034882328087367	P+1	27	89.570	1.105

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-12-31	Net_Force	v4_computers	2¹	2⁵⁷		-	-	0.001	-	-
2000-12-31	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.003	-	-
2001-02-11	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.481	-	-
2016-03-16	Mark Rose	Manual testing	2⁶⁵	2⁶⁶		-	-	0.493	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.986	-	-
2017-12-24	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.973	-	-
2017-12-24	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.945	-	-
2021-07-01	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.890	-	-
2021-09-02	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	15.78	-	-
2021-10-10	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	31.56	-	-

ECM factoring results:

Total ECM effort:	0.763 GHz-days
Estimated T-Level:	0.192

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.763

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-11-27	Xolotl	thunder-gpu-17	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-06-02	ANONYMOUS	v4_computers	85DF248BCD12D2A7	7.600
2006-01-15	ahmerali	v4_computers	85DF248BCD12D2A7	7.600

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 480000, B2 = 449768550 (P-1 stage 2)

B1 = 1000000 (P+1 stage 1)

B1 = 300000, B2 = 6000000 (P-1 stage 2)

B1 = 480000 (P-1 stage 1)

B1 = 300000 (P-1 stage 1)

B1 = 225000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁸

2⁵⁷

this exponent TF target: 69

TF double-checked to: 67.9

ECM T-Level=0.19 ~= -16-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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