M10 297 711 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁹	11.5935	65.2174%	-	-	-	-	11.5935	65.2174%
Target	2⁶⁸	5.7882	64.7059%	70000	8000000	0.2378	2.6590%	6.0260	65.6443%
Difference	+1	+5.8054	+0.5115%	-70000	-8000000	-0.2378	-2.6590%	+5.5676	-0.4269%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
10297711	5787313583	10	32.430	281 281	-	1	281	5.894e-11	7.700e-6	1.352e-5
10297711	2887066255961	13	41.393	140180 2² × 5 × 43 × 163	2008-09-08	43	163	3.818e-8	2.346e-5	4.145e-5
10297711	897082951841113	15	49.672	43557396 2² × 3 × 3629783	2014-05-08	4	3629783	7.339e-6	0.0937	0.1750
10297711	231503685815210441	18	57.684	11240541020 2² × 5 × 10753 × 52267	2015-07-08	10753	52267	0.0029	0.0062	0.0104
10297711	2576699746932450439	19	61.160	125110315629 3² × 13 × 53 × 1213 × 16633	2016-04-06	1213	16633	0.0566	0.0010	0.0012

exponent	prime factors	composite factor	digits	bits*
10297711	5787313583 2887066255961	16708357758144050018263	23	73.823
10297711	5787313583 897082951841113	5191700352267808122737879	25	82.102
10297711	5787313583 231503685815210441	1339784425432931813202720103	28	90.114
10297711	2887066255961 897082951841113	2589937919058364180661124593	28	91.065
10297711	5787313583 2576699746932450439	14912169444734833009099012937	29	93.590
10297711	2887066255961 231503685815210441	668366479447691272003185688801	30	99.077
10297711	2887066255961 2576699746932450439	7439102891111925883698920816879	31	102.553
10297711	897082951841113 231503685815210441	207678009833206582785380490660833	33	107.356
10297711	897082951841113 2576699746932450439	2311513414986411491720959675098607	34	110.832
10297711	231503685815210441 2576699746932450439	596515488653982259729759034587833599	36	118.844
10297711	5787313583 2887066255961 897082951841113	14988782898093225592500792277124246719	38	123.495
10297711	5787313583 2887066255961 231503685815210441	3868046404929514036454584156069238283983	40	131.507
10297711	5787313583 2887066255961 2576699746932450439	43052421207066618640020042725965292367457	41	134.983
10297711	5787313583 897082951841113 231503685815210441	1201897767198124020998846487424643466994639	43	139.786
10297711	5787313583 897082951841113 2576699746932450439	13377452983837574986464001973493435155478881	44	143.263
10297711	2887066255961 897082951841113 231503685815210441	599580174294587471053247447978984256015475513	45	148.749
10297711	5787313583 231503685815210441 2576699746932450439	3452222189957073918775068370187136194036475217	46	151.274
10297711	2887066255961 897082951841113 2576699746932450439	6673492380608444293093735997736794314976546327	46	152.225
10297711	2887066255961 231503685815210441 2576699746932450439	1722179738450998938030909679640210649467009833639	49	160.237
10297711	897082951841113 231503685815210441 2576699746932450439	53512387538065835566823767769504164454714713095568 7	51	168.516
10297711	5787313583 2887066255961 897082951841113 231503685815210441	34699584867925735146080782719488614833815108945887 93079	55	181.179
10297711	5787313583 2887066255961 897082951841113 2576699746932450439	38621593100342255461920211431918206997940946884675 859641	56	184.655
10297711	5787313583 2887066255961 231503685815210441 2576699746932450439	99667941927048535339848588628279696446416777206135 55018537	58	192.667
10297711	5787313583 897082951841113 231503685815210441 2576699746932450439	30969296725780833972412369537968906412383624748793 27146196521	61	200.947
10297711	2887066255961 897082951841113 231503685815210441 2576699746932450439	15449380833705780625743696543900973210567082587120 38230890600207	64	209.909
10297711	5787313583 2887066255961 897082951841113 231503685815210441 2576699746932450439	89410411547845328440984734485148258068433996189124 56939248460764993711681	73	242.339

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	2887066255961	41.393	13	9.72899e-9	12.59	3.64084e-8
2014-05-08	TJAOI	Manual testing	?	?	897082951841113	49.672	15	5.67484e-8	12.59	2.12367e-7
2015-07-08	TJAOI	Manual testing	2⁵⁷	2⁵⁸*	231503685815210441	57.684	18	0.001	12.58	0.004
2022-06-23	LordJulius	Manual testing	2¹	2⁶¹	231503685815210441	57.684	18	0.003	12.58	0.011
2022-06-23	LordJulius	Manual testing	2¹	2⁶¹	2887066255961	41.393	13	3.81771e-8	12.59	1.42868e-7
2022-06-23	LordJulius	Manual testing	2¹	2⁶¹	5787313583	32.430	10	5.89421e-11	12.59	2.20576e-10
2022-06-23	LordJulius	Manual testing	2¹	2⁶¹	897082951841113	49.672	15	7.33945e-6	12.59	2.74661e-5
2016-04-06	TJAOI	Manual testing	2⁶¹	2⁶²*	2576699746932450439	61.160	19	0.027	12.53	0.100
2022-11-07	LordJulius	Manual testing	2⁶¹	2⁶⁴	2576699746932450439	61.160	19	0.027	12.53	0.100
2022-11-07	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.363	-	-
2022-11-07	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.726	-	-
2022-11-07	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	1.451	-	-
2022-11-07	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	2.903	-	-
2022-11-07	LordJulius	Manual testing	2⁶⁸	2⁶⁹		-	-	5.805	-	-

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-03-21

ANONYMOUS

obFIV_MkQmyMzMWzFMY2

5787313583

2887066255961

897082951841113

231503685815210441

2576699746932450439

EDEFC12BFF4BFB__

2021-02-19

Oliver Kruse

IOS-5

5787313583

2887066255961

897082951841113

231503685815210441

2576699746932450439

EDEFC12BFF4BFB65

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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