M9 973 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,979.4362	79.1045%	10000000000	100262435413140	1,040.2936	28.4639%	4,019.7298	85.0522%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.2628%	0.0002	68.5836%
Difference	+23	+2,979.4360	+10.9227%	+9999999500	+100262435403140	+1,040.2936	+27.2011%	+4,019.7296	+16.4685%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
9973	299191	6	18.191	15 3 × 5	-	3	5	3.513e-12	5.910e-10	1.161e-9
9973	7419913	7	22.823	372 2² × 3 × 31	-	4	31	6.054e-11	1.040e-9	1.548e-9
9973	10591327	8	23.336	531 3² × 59	-	9	59	1.249e-10	2.229e-9	3.482e-9
9973	19367567	8	24.207	971 971	-	1	971	2.712e-10	1.024e-8	1.887e-8
9973	96122026073180353	17	56.416	4819112908512 2⁵ × 3 × 7 × 41³ × 67 × 1553	-	68921	68921	1.1025	1.310e-5	2.667e-5

exponent	prime factors	composite factor	digits	bits*
9973	299191 7419913	2219971190383	13	41.014
9973	299191 10591327	3168829716457	13	41.527
9973	299191 19367567	5794601738297	13	42.398
9973	7419913 10591327	78586724894551	14	46.159
9973	7419913 19367567	143705662161671	15	47.030
9973	10591327 19367567	205128235291409	15	47.544
9973	299191 7419913 10591327	23512440807925608241	20	64.350
9973	299191 7419913 19367567	42995440767812508161	20	65.221
9973	299191 10591327 19367567	61372521845071950119	20	65.734
9973	7419913 10591327 19367567	1522033659705784427417	22	70.366
9973	299191 96122026073180353	28758845102860902994423	23	74.606
9973	7419913 96122026073180353	713217070846729852569289	24	79.239
9973	10591327 96122026073180353	1018059810043579048598431	25	79.752
9973	19367567 96122026073180353	1861649780148067389811151	25	80.623
9973	299191 7419913 10591327 19367567	455378772681033348623319647	27	88.557
9973	299191 7419913 96122026073180353	213388128643703951320058145199	30	97.429
9973	299191 10591327 96122026073180353	304594332626748459129213169321	30	97.943
9973	299191 19367567 96122026073180353	556988859372280430424988078841	30	98.814
9973	7419913 10591327 96122026073180353	7553915219319882749223129956503	31	102.575
9973	7419913 19367567 96122026073180353	13813279405167787150535826849863	32	103.446
9973	10591327 19367567 96122026073180353	19717341581026290143526368487377	32	103.959
9973	299191 7419913 10591327 96122026073180353	2260063448383535039622817474816089073	37	120.766
9973	299191 7419913 19367567 96122026073180353	4132808878511555405355964571037360833	37	121.637
9973	299191 10591327 19367567 96122026073180353	5899251144968836774331797714106812007	37	122.150
9973	7419913 10591327 19367567 96122026073180353	146300959122497523577723167382278938201	39	126.782
9973	299191 7419913 10591327 19367567 96122026073180353	43771930260819156576742572172271417799295391	44	144.973

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-08-27	Seth_Tr	Manual testing	100000000	100000000		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	0.019	-	-	5.663%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	0.076	-	-	7.620%
2022-08-05	Yizhe Huang		1000000000	1000000000		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	0.190	-	-	9.024%
2022-08-05	Yizhe Huang		10000000000	1453757224920		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	16.86	-	-	21.783%
2022-08-05	Yizhe Huang		10000000000	10000000000			299191 7419913 10591327 19367567 96122026073180353	44	144.973	1.901	2.61514e-6	3.802	12.802%
2022-08-05	Yizhe Huang		10000000000	10436363077140		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	109.9	-	-	24.992%
2022-08-05	Yizhe Huang		10000000000	100262435413140		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	1,040	-	-	28.464%
2022-11-24	Kevin_9611	F	1000000	518293926150		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	5.369	-	-	11.124%
2022-11-24	Kevin_9611	F	10000000	1468968801300		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	15.22	-	-	15.707%
2022-11-24	Kevin_9611	F	100000000	10221144823890		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	105.9	-	-	21.020%
2022-11-24	Kevin_9611	F	1000000000	1000000000		-	skipped known factor: 299191 skipped known factor: 7419913 skipped known factor: 10591327 skipped known factor: 19367567 skipped known factor: 96122026073180353	-	-	0.190	-	-	9.024%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2001-08-04	ANONYMOUS	v4_computers	?	?	299191 7419913 10591327 19367567	88.557	27	14,965,618	2.80860e-6	32,145,391

ECM factoring results:

Total ECM effort:	82.241 GHz-days
Estimated T-Level:	38.919

Digits	B1	Complete	FacMiss
20	11000	632.630	0.000%
25	50000	160.822	0.000%
30	250000	34.491	0.000%
35	1000000	5.729	0.325%
40	3000000	0.784	45.670%
45	11000000	0.092	91.199%
50	44000000	0.010	99.049%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	5	0.001
250000	25000000	5	0.003
1000000	100000000	4	0.011
3000000	300000000	792	6.500
3000000	4592487916	1,400	64.97
10000000	1000000000	15	0.410
44000000	223505872608	5	10.35

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-08-29	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-29	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-30	Rob_Dee	twopc	250000	25000000						1	0.001
2009-08-31	Rob_Dee	twopc	250000	25000000						1	0.001
2009-09-01	Rob_Dee	twopc	1000000	100000000						2	0.005
2009-09-02	Rob_Dee	twopc	250000	25000000						3	0.002
2009-09-02	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-04	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-04	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-04	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-04	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-26	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-09-27	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-09-28	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-09-29	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-09-30	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-01	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-02	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-05	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-07	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-08	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-09	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-10	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-11	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-12	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-13	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-14	Carsten Kossendey	durandal	3000000	300000000						1	0.008
2009-10-14	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-15	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-16	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-17	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-21	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-28	Rob_Dee	twopc	10000000	1000000000						3	0.082
2009-10-31	Rob_Dee	twopc	10000000	1000000000						3	0.082
2009-11-04	Rob_Dee	twopc	10000000	1000000000						3	0.082
2009-11-06	Rob_Dee	twopc	10000000	1000000000						3	0.082
2009-11-09	Rob_Dee	twopc	10000000	1000000000						3	0.082
2011-04-23	James Hintz	17_051310	3000000	300000000						11	0.090
2018-06-18	Hexaflexagon	Manual testing	44000000	223505872608						5	10.35
2018-06-23	Hexaflexagon	Manual testing	3000000	4592487916						1400	64.97
2018-06-25	Hexaflexagon	sol	3000000	300000000						760	6.237

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 = 10000000000, B2 = 100262435413140 (P-1 stage 2)

B1 = 10000000000, B2 = 10436363077140 (P-1 stage 2)

B1 = 100000000, B2 = 10221144823890 (P-1 stage 2)

B1 = 10000000000, B2 = 1453757224920 (P-1 stage 2)

B1 = 10000000, B2 = 1468968801300 (P-1 stage 2)

B1 = 1000000, B2 = 518293926150 (P-1 stage 2)

B1 = 10000000000 (P-1 stage 1)

B1 = 1000000000 (P-1 stage 1)

B1 = 400000000 (P-1 stage 1)

B1 = 100000000 (P-1 stage 1)

B1 = 10000000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10⁰

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10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10⁰

10¹

10²

10³

10⁴

10⁵

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10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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10¹⁵

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