M2 535 283 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	2⁶⁷	11.7202	67.1642%	2000000	60000000	0.5190	7.6582%	12.2391	69.6788%
Target	2⁶³	0.6295	65.0794%	11000	1440000	0.0089	1.4356%	0.6385	65.5807%
Difference	+4	+11.0906	+2.0848%	+1989000	+58560000	+0.5100	+6.2226%	+11.6007	+4.0981%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2535283	13758093491951	14	43.645	2713325 5² × 108533	-	25	108533	6.008e-7	0.0006	0.0011
2535283	22274049864739121	17	54.306	4392813320 2³ × 5 × 7 × 15688619	2014-11-15	8	15688619	0.0013	0.0860	0.1606
2535283	57139625440720335933887	23	75.597	11268885059522021 55213 × 139423 × 1463879	2018-11-29	139423	1463879	3,476.1	0.0213	0.0285
2535283	120153391418923019042954829881	30	96.601	23696248390992843608180 2² × 5 × 7 × 73 × 79 × 157 × 929 × 22871 × 8798347	2018-11-29	22871	8798347	9.399e+9	0.0504	0.0900

exponent	prime factors	composite factor	digits	bits*
2535283	13758093491951 22274049864739121	306448460483459352464528315071	30	97.952
2535283	13758093491951 57139625440720335933887	786132308908492243957469180502643537	36	119.242
2535283	22274049864739121 57139625440720335933887	1272730866319120835765600700757158493327	40	129.903
2535283	13758093491951 120153391418923019042954829881	1653081592516525917764341685502648447787831	43	140.246
2535283	22274049864739121 120153391418923019042954829881	2676302631882608934159143239427079003000474601	46	150.907
2535283	57139625440720335933887 120153391418923019042954829881	68655197811095222417258664152053281249902873480774 47	52	172.198
2535283	13758093491951 22274049864739121 57139625440720335933887	17510350248910254553258674917605187305117623361710 977	53	173.548
2535283	13758093491951 22274049864739121 120153391418923019042954829881	36820821822195454856073717256883695421018751209782 373436551	59	194.552
2535283	13758093491951 57139625440720335933887 120153391418923019042954829881	94456463019343772023843526985253227265808373848669 738202619129097	65	215.843
2535283	22274049864739121 57139625440720335933887 120153391418923019042954829881	15292292995178631350355246113971307056518826223583 6325186815558704087	69	226.504
2535283	13758093491951 22274049864739121 57139625440720335933887 120153391418923019042954829881	21039279673397499300202593051251952282944074519639 54889880366842476889346125303737	82	270.149

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-11-27	alpertron	laptop2	2000000	60000000	12		57139625440720335933887 120153391418923019042954829881	52	172.198	0.519	0.352	1.038	7.658%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-11-15	TJAOI	Manual testing	2⁵⁴	2⁵⁵*	22274049864739121	54.306	17	0.000	0.981	0.002

ECM factoring results:

Total ECM effort:	0.553 GHz-days
Estimated T-Level:	1.154

Digits	B1	Complete	FacMiss
20	11000	0.231	79.392%
25	50000	0.021	97.887%
30	250000	0.001	99.865%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		6	0.553

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-03-14	alpertron		50000	5000000						3	0.276
2018-09-28	alpertron	Manual testing	50000	5000000						3	0.276

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-14

Oliver Kruse

GTX-0

32533C1CF557E8__

2017-12-01

kkmrkkblmbrbk

old

13758093491951

22274049864739121

32533C1CF557E8__

2018-11-29

Oliver Kruse

GTX-2

13758093491951

22274049864739121

57139625440720335933887

120153391418923019042954829881

32533C1CF557E8__

2018-12-24

M91088807

13758093491951

22274049864739121

57139625440720335933887

120153391418923019042954829881

32533C1CF557E887

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 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁵⁵

this exponent TF target: 63

TF double-checked to: 67.9

ECM T-Level=1.15 ~= -13-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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