M9 497 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	1000000000	100149831201420	964.9717	63.9424%	964.9717	63.9424%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.2439%	0.0002	68.5776%
Difference	-44	-0.0002	-68.1818%	+999999500	+100149831191420	+964.9717	+62.6984%	+964.9715	-4.6353%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
9497	531833	6	19.021	28 2² × 7	-	4	7	7.399e-12	7.362e-10	1.439e-9
9497	3826715995245809	16	51.765	201469727032 2³ × 7 × 3597673697	-	8	3597673697	0.0324	0.0347	0.0647
9497	186380199351575297	18	57.371	9812582886784 2⁷ × 76660803803	-	128	76660803803	3.5986	0.7385	1.3794
9497	1927931269439244738847	22	70.708	101502120113680359 3 × 113 × 236449 × 1266303869	-	236449	1266303869	49,898	0.0122	0.0228
9497	2906763363066789240328664008922853143	37	121.129	153035872542212764048050121560643 7 × 11161 × 6062129 × 10833929 × 29825033283349	-	10833929	29825033283349	1.648e+13	287.32	536.64

exponent	prime factors	composite factor	digits	bits*
9497	531833 3826715995245809	2035173847899564337897	22	70.786
9497	531833 186380199351575297	99123140561746344929401	23	76.392
9497	531833 1927931269439244738847	1025337470819681847195216551	28	89.728
9497	3826715995245809 186380199351575297	713224090055775747899186887180273	33	109.136
9497	3826715995245809 1927931269439244738847	7377645426497715380275004067776242223	37	122.473
9497	186380199351575297 1927931269439244738847	359328214334222061484696383068821462559	39	128.079
9497	531833 3826715995245809 186380199351575297	379316107486633383332468259769746130409	39	128.157
9497	531833 2906763363066789240328664008922853143	1545912679669899722051714365857467755601119	43	140.149
9497	531833 3826715995245809 1927931269439244738847	3923675300110559463837796238377642230184759	43	141.493
9497	531833 186380199351575297 1927931269439244738847	191102602214012321625590531496640524897140647	45	147.099
9497	3826715995245809 2906763363066789240328664008922853143	11123357855842183234771682016301853414723439893227 687	53	172.894
9497	186380199351575297 2906763363066789240328664008922853143	54176313507624362158244048139213357099037820083760 8471	54	178.500
9497	3826715995245809 186380199351575297 1927931269439244738847	13750470253358819476026418875195980097995828660951 65231	55	179.844
9497	1927931269439244738847 2906763363066789240328664008922853143	56040399805168432261626864646842171261323551735671 68146121	58	191.836
9497	531833 3826715995245809 2906763363066789240328664008922853143	59157687785461158362983279617758636071126112087349 60460271	58	191.914
9497	531833 186380199351575297 2906763363066789240328664008922853143	28812751341700387399705406854022257346052580968606 7825957343	60	197.520
9497	531833 3826715995245809 186380199351575297 1927931269439244738847	73129538462545810383935584296521036834574155442399 0010298423	60	198.864
9497	531833 1927931269439244738847 2906763363066789240328664008922853143	29804133949582142834997800305724012468423488490237 47736655969793	64	210.857
9497	3826715995245809 186380199351575297 2906763363066789240328664008922853143	20731736546307772656962085696563355155758672131961 72608692885345648039	70	230.265
9497	3826715995245809 1927931269439244738847 2906763363066789240328664008922853143	21445069431440815804035019483156920097821178757267 951644475099940224856889	74	243.601
9497	186380199351575297 1927931269439244738847 2906763363066789240328664008922853143	10444820887429273838940868804030355242669901049205 97570396856748500429972937	76	249.207
9497	531833 3826715995245809 186380199351575297 2906763363066789240328664008922853143	11025821642632501655470116922260378862552601875957 60066998963292032033525487	76	249.285
9497	531833 3826715995245809 1927931269439244738847 2906763363066789240328664008922853143	11405195610931463391507356516785794286384530962014 086526936125826509606313847537	80	262.622
9497	531833 186380199351575297 1927931269439244738847 2906763363066789240328664008922853143	55549004270241729935854390786538759197748614847023 6167656871515125229173797003521	81	268.228
9497	3826715995245809 186380199351575297 1927931269439244738847 2906763363066789240328664008922853143	39969363157403127608228178884655696892506914441909 23498296217385391968602307577218532671033	91	300.972
9497	531833 3826715995245809 186380199351575297 1927931269439244738847 2906763363066789240328664008922853143	21257026316091177565266817060763093245432629828383 91416869372180725166837671045714863886033493489	97	319.993

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: 531833	-	-	0.018	-	-	26.447%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 531833	-	-	0.071	-	-	30.133%
2022-11-24	Kevin_9611	PRP-CF	1000000000	100149831201420		-	skipped known factor: 531833 skipped known factor: 3826715995245809 skipped known factor: 186380199351575297 skipped known factor: 1927931269439244738847 skipped known factor: 2906763363066789240328664008922853143	-	-	965.0	-	-	63.942%

ECM factoring results:

Total ECM effort:	29.951 GHz-days
Estimated T-Level:	39.304

Digits	B1	Complete	FacMiss
20	11000	785.714	0.000%
25	50000	206.643	0.000%
30	250000	41.314	0.000%
35	1000000	6.584	0.138%
40	3000000	0.861	42.283%
45	11000000	0.097	90.733%
50	44000000	0.009	99.057%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	5	0.001
250000	25000000	5	0.003
1000000	100000000	4	0.010
3000000	300000000	3,922	29.94

	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
2009-10-06	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
2009-10-19	Rob_Dee	twopc	3000000	300000000						1	0.008
2011-02-19	James Hintz	NEW_OMFG	3000000	300000000						201	1.534
2011-04-25	James Hintz	17_051310	3000000	300000000						11	0.084
2018-06-10	Hexaflexagon	crou	3000000	300000000						3689	28.16

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

EB7641E1A6F6F8__

2017-09-21

Oliver Kruse

Manual testing

EB7641E1A6F6F8__

2017-10-02

kkmrkkblmbrbk

Manual testing

531833

3826715995245809

186380199351575297

1927931269439244738847

2906763363066789240328664008922853143

EB7641E1A6F6F8__

2017-12-07

ATH

Manual testing

531833

3826715995245809

186380199351575297

1927931269439244738847

2906763363066789240328664008922853143

EB7641E1A6F6F8__

2020-04-17

Oliver Kruse

Manual testing

531833

3826715995245809

186380199351575297

1927931269439244738847

2906763363066789240328664008922853143

639341B1E8E42E__

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 = 1000000000, B2 = 100149831201420 (P-1 stage 2)

B1 = 1000000000 (P-1 stage 1)

B1 = 400000000 (P-1 stage 1)

B1 = 100000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

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