M12756313 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	2⁷²	74.9694	66.6667%	400000	428459850	14.0501	6.4435%	89.0195	68.8145%
Target	2⁶⁸	4.6726	64.7059%	90000	2400000	0.1278	3.1600%	4.8004	65.8212%
Difference	+4	+70.2969	+1.9608%	+310000	+426059850	+13.9223	+3.2835%	+84.2191	+2.9933%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12756313	61740554921	11	35.845	2420 2² × 5 × 11²	-	121	121	5.468e-10	7.167e-5	0.0001
12756313	2540622339509674551707200797804998449609	40	130.900	99582941383990599466601391711108 2² × 3 × 7² × 19 × 31 × 43 × 421 × 467 × 4517 × 16369 × 68489 × 6716327	2022-05-07	68489	6716327	1.162e+10	0.2551	0.4048

exponent	prime factors	composite factor	digits	bits*
12756313	61740554921 2540622339509674551707200797804998449609	15685943308601656987051448516805452302640431547588 9	51	166.746

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-05-07	nordi	sweet16_30.8b14	400000	400000		-	skipped known factor: 61740554921	-	-	0.237	-	-	1.338%
2022-05-07	nordi	sweet16_30.8b14	400000	428459850			2540622339509674551707200797804998449609	40	130.900	14.05	10.42	28.10	6.444%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-01-21	Dobri	Manual testing	2¹	2⁶⁴	61740554921	35.845	11	5.46788e-10	10.88	1.14210e-9
TF assumed completed to 67 but no detailed record exists
2023-01-21	Dobri	Manual testing	2⁶⁷	2⁶⁸		-	-	2.343	-	-
2023-01-21	Dobri	Manual testing	2⁶⁸	2⁶⁹		-	-	4.686	-	-
2023-01-21	Dobri	Manual testing	2⁶⁹	2⁷⁰		-	-	9.373	-	-
2023-01-21	Dobri	Manual testing	2⁷⁰	2⁷¹		-	-	18.75	-	-
2023-01-21	Dobri	Manual testing	2⁷¹	2⁷²		-	-	37.49	-	-

PRP results:

date

userid

compid

cofactors

res64

PRP

2022-05-07

XZT

600G2Mini2

61740554921

D066A01C6F8BADC8

2023-01-21

Dobri

SabaiSabai

61740554921

2540622339509674551707200797804998449609

D066A01C6F8BADC8

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 = 400000, B2 = 428459850 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁴

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

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