M7 151 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	4,155.2115	80.5970%	400000000	400000000	0.0590	7.4111%	4,155.2705	82.0350%
Target	2⁴⁴	0.0003	70.4545%	500	10000	0.0000	1.1394%	0.0003	70.7912%
Difference	+23	+4,155.2112	+10.1425%	+399999500	+399990000	+0.0590	+6.2717%	+4,155.2702	+11.2438%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
7151	14303	5	13.804	1 1	-	1	1	1.526e-13	1.474e-10	3.000e-10
7151	2864483907497	13	41.381	200285548 2² × 653 × 76679	-	653	76679	7.580e-5	7.069e-7	1.150e-6
7151	28305635394521	14	44.686	1979138260 2² × 5 × 11 × 8996083	-	11	8996083	0.0006	7.226e-5	0.0001
7151	35314630906184177887463	23	74.903	2469209264870939581 19 × 59 × 61 × 1423 × 25375671887	-	1423	25375671887	917,296	0.2038	0.3807
7151	32647220550461602253824631	26	84.755	2282703156933408072565 5 × 13 × 32220173 × 1089954113737	-	32220173	1089954113737	621,994,434	8.7586	16.350

exponent	prime factors	composite factor	digits	bits*
7151	14303 2864483907497	40970713328929591	17	55.185
7151	14303 28305635394521	404855503047833863	18	58.490
7151	2864483907497 28305635394521	81081037079082901264623937	26	86.068
7151	14303 35314630906184177887463	505105165851152296324383289	27	88.707
7151	14303 32647220550461602253824631	466953195533252297036453697193	30	98.559
7151	14303 2864483907497 28305635394521	1159702073342122736787916170911	31	99.872
7151	2864483907497 35314630906184177887463	101158191929960775897036556968010111	36	116.284
7151	28305635394521 35314630906184177887463	999603066522532081796286798344790223	36	119.589
7151	2864483907497 32647220550461602253824631	93517437891302609691095001019864158607	38	126.137
7151	28305635394521 32647220550461602253824631	924100321545879293700599141876832246751	39	129.441
7151	14303 2864483907497 35314630906184177887463	1446865619174228977655313874313448617633	40	130.088
7151	14303 28305635394521 35314630906184177887463	14297322660471776365932290076725534559569	41	133.393
7151	14303 2864483907497 32647220550461602253824631	1337579914159301226411731799587117060555921	43	139.941
7151	14303 28305635394521 32647220550461602253824631	13217406899070711537799669526264331625279553	44	143.245
7151	35314630906184177887463 32647220550461602253824631	1152924543852342527631717228509253266049655501153	49	159.658
7151	2864483907497 28305635394521 35314630906184177887463	2863346897938446325258369630867960369851802001831	49	160.970
7151	2864483907497 28305635394521 32647220550461602253824631	26470704999809744587781947271333935204696781627922 47	52	170.823
7151	14303 35314630906184177887463 32647220550461602253824631	16490279750720055172716451519367849464308222632991 359	53	173.462
7151	14303 2864483907497 28305635394521 35314630906184177887463	40954450681213597790170460830304437169990324032188 793	53	174.774
7151	14303 2864483907497 28305635394521 32647220550461602253824631	37861049361227877683904519182188927523277806762417 508841	56	184.627
7151	2864483907497 35314630906184177887463 32647220550461602253824631	33025338024233544529473710600723610437555265191734 67228844041	61	201.039
7151	28305635394521 35314630906184177887463 32647220550461602253824631	32634261775678845447290828637187229780058548266555 035125382713	62	204.344
7151	14303 2864483907497 35314630906184177887463 32647220550461602253824631	47236140976061238740506248272214980008835295803738 101774156318423	65	214.843
7151	14303 28305635394521 35314630906184177887463 32647220550461602253824631	46676784617753452643260072199768894754417741585653 6667398348944039	66	218.148
7151	2864483907497 28305635394521 35314630906184177887463 32647220550461602253824631	93480317689476524886617181567221103283570914228018 742934956361061814899361	74	245.725
7151	14303 2864483907497 28305635394521 35314630906184177887463 32647220550461602253824631	13370489839125827354532855479559634402649147862033 52080198680832267138505560383	79	259.529

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: 14303 skipped known factor: 2864483907497 skipped known factor: 28305635394521	-	-	0.015	-	-	5.487%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 14303 skipped known factor: 2864483907497 skipped known factor: 28305635394521	-	-	0.059	-	-	7.411%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-10-25	Carsten Kossendey	v4_computers	?	?	14303 2864483907497 28305635394521	99.872	31	2.38011e+12	1.60405e-6	5.25132e+12

ECM factoring results:

Total ECM effort:	236.034 GHz-days
Estimated T-Level:	40.818

Digits	B1	Complete	FacMiss
20	11000	914.800	0.000%
25	50000	244.143	0.000%
30	250000	52.280	0.000%
35	1000000	8.967	0.013%
40	3000000	1.291	27.509%
45	11000000	0.164	84.902%
50	44000000	0.018	98.174%
55	110000000	0.002	99.811%

ECM Summary

B1	B2	factor	curves	GHz-days
3000000	300000000		3,819	24.30
11000000	99324315090		302	211.7

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13	Carsten Kossendey	durandal	3000000	300000000						1	0.006
2011-03-04	James Hintz	NEW_OMFG	3000000	300000000						118	0.751
2013-04-06	Axon		3000000	300000000						30	0.191
2017-02-05	kkmrkkblmbrbk	old	3000000	300000000						3670	23.36
2023-02-12	Denial140	i5-8400	11000000	99324315090						100	70.11
2023-02-14	Denial140	i5-8400	11000000	99324315090						100	70.11
2023-02-17	Denial140	i5-8400	11000000	99324315090						100	70.11
2023-02-22	Denial140	i5-8400	11000000	99324315090						2	1.402

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

CBE2000970448E__

2017-09-21

Oliver Kruse

Manual testing

CBE2000970448E__

2017-10-02

kkmrkkblmbrbk

Manual testing

14303

2864483907497

28305635394521

35314630906184177887463

32647220550461602253824631

CBE2000970448E__

2017-12-07

ATH

Manual testing

14303

2864483907497

28305635394521

35314630906184177887463

32647220550461602253824631

CBE2000970448E__

2020-04-17

Oliver Kruse

IOS-1

14303

2864483907497

28305635394521

35314630906184177887463

32647220550461602253824631

53C67985900102__

2022-05-12

Jorge Coveiro

Manual testing

14303

53C67985900102FB

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 = 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

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