M25 933 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

Cofactor is a certified prime

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	500000000	19081568754210	682.8475	62.0916%	682.8475	62.0916%
Target	2⁴⁴	0.0001	65.9091%	500	50000	0.0000	1.6847%	0.0001	66.4834%
Difference	-44	-0.0001	-65.9091%	+499999500	+19081568704210	+682.8475	+60.4070%	+682.8474	-4.3918%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

unknown

500000000

19081568754210

682.8475

62.0916%

682.8475

62.0916%

Target

2⁴⁴

0.0001

65.9091%

500

50000

0.0000

1.6847%

0.0001

66.4834%

Difference

-44

-0.0001

-65.9091%

+499999500

+19081568704210

+682.8475

+60.4070%

+682.8474

-4.3918%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
25933	570527	6	19.122	11 11	-	1	11	2.700e-12	1.014e-9	1.336e-9
25933	2354879582633829282881	22	70.996	45403146235179680 2⁵ × 5 × 23 × 12337811476951	2009-04-06	32	12337811476951	13,565	441.32	824.26
25933	5589137403017310421606050379256829183569	40	132.038	107761103671332094659431041130159048 2³ × 2819 × 10723 × 3160753 × 28566269 × 4935334369909	2016-12-11	28566269	4935334369909	7.076e+12	176.55	329.72
25933	hide decimal representation P7740 click to show decimal representation	7,740	25,710.844		2016-12-11

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

25933

570527

19.122

11
11

2.700e-12

1.014e-9

1.336e-9

25933

2354879582633829282881

70.996

45403146235179680
2⁵ × 5 × 23 × 12337811476951

2009-04-06

12337811476951

13,565

441.32

824.26

25933

5589137403017310421606050379256829183569

132.038

107761103671332094659431041130159048
2³ × 2819 × 10723 × 3160753 × 28566269 × 4935334369909

2016-12-11

28566269

4935334369909

7.076e+12

176.55

329.72

25933

P7740

click to show decimal representation

7,740

25,710.844

2016-12-11

exponent	prime factors	composite factor	digits	bits*
25933	570527 2354879582633829282881	1343522383641330719274248287	28	90.118
25933	570527 5589137403017310421606050379256829183569	3188753795131257062907635104726260983614070863	46	151.160
25933	2354879582633829282881 5589137403017310421606050379256829183569	13161745554900528456473736235931194058623482107301 451978182289	62	203.034
25933	570527 2354879582633829282881 5589137403017310421606050379256829183569	75091312062007337986865913134771163526842793762323 75492756406796303	67	222.156

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-12-09	kkmrkkblmbrbk	Manual testing	500000000	10000000000	12	-	skipped known factor: 570527	-	-	0.668	-	-	42.669%
2016-12-11	kkmrkkblmbrbk	Manual testing	500000000	19081568754210			5589137403017310421606050379256829183569	40	132.038	682.8	2.34838e-5	1,366	62.092%

ECM factoring results:

Total ECM effort:	1.607 GHz-days
Estimated T-Level:	30.456

Digits	B1	Complete	FacMiss
20	11000	58.991	0.000%
25	50000	9.231	0.010%
30	250000	1.040	35.330%
35	1000000	0.091	91.281%
40	3000000	0.007	99.348%

ECM Summary

B1	B2	factor	curves	GHz-days
		2354879582633829282881	1	0.00000e+0
50000	5000000		11	0.005
250000	25000000		614	1.450
500000	50000000		2	0.009
1000000	100000000		15	0.142

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-06	Matthias Wurtinger	WUR_E6600	50000	5000000						8	0.004
2009-04-06	Matthias Wurtinger	WUR_E6600			2354879582633829282881	70.996		1		1	-
2009-05-10	Matthias Wurtinger	WUR_E6600	250000	25000000						30	0.071
2009-11-11	Rob_Dee	twopc	500000	50000000						1	0.005
2009-11-11	Rob_Dee	twopc	500000	50000000						1	0.005
2009-11-11	Rob_Dee	twopc	1000000	100000000						1	0.009
2009-11-12	Rob_Dee	twopc	1000000	100000000						1	0.009
2009-11-12	Rob_Dee	twopc	1000000	100000000						1	0.009
2009-11-12	Rob_Dee	twopc	1000000	100000000						1	0.009
2010-05-13	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-14	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-14	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-15	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-15	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-16	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-20	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-21	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-22	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-23	Rob_Dee	twopc	250000	25000000						1	0.002
2011-01-19	James Hintz	NEW_OMFG	250000	25000000						11	0.026
2011-03-25	James Hintz	17_051310	250000	25000000						11	0.026
2014-11-04	James Hintz	08_04_2014	250000	25000000						555	1.311
2014-11-04	James Hintz	08_04_2014	1000000	100000000						11	0.104

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 = 500000000, B2 = 19081568754210 (P-1 stage 2)

B1 = 500000000, B2 = 10000000000 (P-1 stage 2)

B1 = 500000000 (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

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