M32057 Mersenne number exponent details

is 2 ³²⁰⁵⁷ - 1

has 9651 decimal digits

takes 0.000 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	2000000000	617056381111170	26,853.2330	78.8427%	26,853.2330	78.8427%
Target	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.7932%	0.0001	66.5204%
Difference	-44	-0.0001	-65.9091%	+1999999500	+617056381101170	+26,853.2330	+77.0495%	+26,853.2329	+12.3223%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
32057	41077781112865417	17	55.189	640699084644 2² × 3 × 359 × 148723093	2014-04-23	359	148723093	0.2322	0.0065	0.0121
32057	77087620336164121	17	56.097	1202352377580 2² × 3³ × 5 × 1277 × 1743601	2008-08-26	1277	1743601	0.4122	7.684e-5	0.0001
32057	3266726955200737164011629254842087	34	111.331	50951850690968231026166348299 29 × 79 × 83 × 1031717 × 1261829 × 205823846731	2015-04-24	1261829	205823846731	5.781e+12	8.9575	16.728
32057	61186539903330175486948838464880682138697	41	135.490	954339768277290069048083701919716164 2² × 3² × 17² × 37 × 421 × 3889 × 4813 × 3217307 × 97785069677567	2022-08-25	3217307	97785069677567	4.301e+12	4,255.2	7,947.5

exponent	prime factors	composite factor	digits	bits*
32057	41077781112865417 77087620336164121	3166588394680622557274344697103457	34	111.287
32057	41077781112865417 3266726955200737164011629254842087	13418989482123319228570230670716636806609841840527 9	51	166.521
32057	77087620336164121 3266726955200737164011629254842087	25182420726442784566126833887015214489481517016052 7	51	167.429
32057	41077781112865417 61186539903330175486948838464880682138697	25134072932026024603209526896824035630284050361854 88741649	58	190.680
32057	77087620336164121 61186539903330175486948838464880682138697	47167247577514727061056404343680086245662655121754 77090337	58	191.588
32057	41077781112865417 77087620336164121 3266726955200737164011629254842087	10344379664929020297969459073312589060146516282329 598268680836794759	68	222.618
32057	41077781112865417 77087620336164121 61186539903330175486948838464880682138697	19375258716854815490672880996644548536305069956826 5082651784301171832175529	75	246.777
32057	3266726955200737164011629254842087 61186539903330175486948838464880682138697	19987971919767419102397490876748032593198069942133 3844503968149622166940639	75	246.822
32057	41077781112865417 3266726955200737164011629254842087 61186539903330175486948838464880682138697	82106153541030639853234100519041218260211470926652 93668562560337308129694833106257834981463	91	302.011
32057	77087620336164121 3266726955200737164011629254842087 61186539903330175486948838464880682138697	15408251906409403031276558326562806854795891156043 800908198885695403882726274020895168613319	92	302.919
32057	41077781112865417 77087620336164121 3266726955200737164011629254842087 61186539903330175486948838464880682138697	63293679914337673071745685921836626057893778896480 07853280905908086793541266613836411744805914839665 60689023	108	358.108

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-10-13	kkmrkkblmbrbk	Manual testing	200000000	5000000000	12	-	skipped known factor: 41077781112865417 skipped known factor: 77087620336164121	-	-	0.369	-	-	41.297%
2022-07-23	nordi	sweet16_ccx3	2000000000	2000000000		-	skipped known factor: 41077781112865417 skipped known factor: 77087620336164121	-	-	1.597	-	-	35.929%
2022-08-25	nordi	sweet16_30.8b14	2000000000	617056381111170			61186539903330175486948838464880682138697	41	135.490	26,853	3.53161e-5	53,706	70.175%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-05-08	ATH	colab-Pp2	100000000	10000000000	2	7			-	-	0.544

Trial Factoring results:
No TF results for M32057

ECM factoring results:

Total ECM effort:	37.142 GHz-days
Estimated T-Level:	35.599

Digits	B1	Complete	FacMiss
20	11000	326.642	0.000%
25	50000	62.432	0.000%
30	250000	9.410	0.008%
35	1000000	1.161	31.307%
40	3000000	0.120	88.705%
45	11000000	0.011	98.949%

ECM Summary

B1	B2	factor	curves	GHz-days
		77087620336164121	1	0.00000e+0
		3266726955200737164011629254842087	1	0.00000e+0
50000	5000000		283	0.163
250000	25000000		584	1.678
1000000	100000000		1,496	17.19
3000000	11486324850		40	18.11

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-26	ANONYMOUS	Manual testing			77087620336164121	56.097		1		1	-
2009-03-30	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.017
2010-04-18	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-20	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-20	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-21	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-21	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-21	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-21	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-26	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-26	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-27	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-27	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-27	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-27	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-27	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-27	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-28	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-28	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-28	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-28	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-28	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-28	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-29	James Hintz	04_122109	50000	5000000						11	0.006
2010-04-29	James Hintz	04_122109	50000	5000000						11	0.006
2011-01-20	James Hintz	NEW_OMFG	250000	25000000						3	0.009
2011-03-16	James Hintz	17_051310	250000	25000000						11	0.032
2015-04-25	Serge Batalov	Manual testing			3266726955200737164011629254842087	111.331		1		1	-
2015-06-24	James Hintz	08_04_2014	250000	25000000						11	0.032
2015-07-06	James Hintz	08_04_2014	250000	25000000						559	1.606
2015-07-06	James Hintz	08_04_2014	1000000	100000000						11	0.126
2018-06-12	Yxinity	MacBook	1000000	100000000						3	0.034
2018-06-17	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-06-19	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-06-28	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-06-28	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-06-30	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-07-14	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-07-14	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-07-15	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-07-20	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-07-22	kkmrkkblmbrbk	c5.large	1000000	100000000						1392	16.00
2018-08-19	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-09-05	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-10-08	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-10-10	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-10-26	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-10-28	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-11-04	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-11-10	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-11-14	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-11-17	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-11-19	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-11-21	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-11-26	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-12-03	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-12-10	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-12-13	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-12-20	Yxinity	Manual testing	1000000	100000000						3	0.034
2018-12-22	Yxinity	Manual testing	1000000	100000000						3	0.034
2019-01-12	Yxinity	Manual testing	1000000	100000000						3	0.034
2019-03-07	Yxinity	Manual testing	1000000	100000000						3	0.034
2019-11-20	Yxinity	Manual testing	1000000	100000000						3	0.034
2022-10-14	nordi	sweet16_30.9b3	3000000	11486324850						40	18.11

Lucas-Lehmer results:
No L-L results for M32057

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

1682F0776AB8AA__

2017-09-21

Oliver Kruse

Manual testing

1682F0776AB8AA__

2017-10-02

kkmrkkblmbrbk

Manual testing

41077781112865417

77087620336164121

3266726955200737164011629254842087

1682F0776AB8AA__

2017-12-07

ATH

xps

41077781112865417

77087620336164121

3266726955200737164011629254842087

1682F0776AB8AA__

2020-04-17

Oliver Kruse

Manual testing

41077781112865417

77087620336164121

3266726955200737164011629254842087

92C2EE804FE158__

2022-08-25

nordi

sweet16_30.8b14

41077781112865417

77087620336164121

3266726955200737164011629254842087

61186539903330175486948838464880682138697

92C2EE804FE15859

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 = 2000000000, B2 = 617056381111170 (P-1 stage 2)

B1 = 2000000000 (P-1 stage 1)

B1 = 200000000, B2 = 5000000000 (P-1 stage 2)

B1 = 200000000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

TF factor-bounds graph:

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

Last modified: 2022-10-14T05:12:40+00:00

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