M223 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	unknown	-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0105	81.8182%	500	50000	0.0000	0.3636%	0.0105	81.8843%
Difference	-44	-0.0105	-81.8182%	-500	-50000	0.0000	-0.3636%	-0.0105	-81.8843%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
223	18287	5	14.159	41 41	-	1	41	9.873e-12	4.687e-11	6.081e-11
223	196687	6	17.586	441 3² × 7²	-	49	49	8.577e-11	7.223e-10	1.470e-9
223	1466449	7	20.484	3288 2³ × 3 × 137	-	8	137	1.072e-9	2.215e-10	2.400e-10
223	2916841	7	21.476	6540 2² × 3 × 5 × 109	-	5	109	1.773e-9	1.572e-10	1.572e-10
223	1469495262398780123809	22	70.316	3294832426903094448 2⁴ × 3 × 7² × 411743 × 3402277943	-	411743	3402277943	1,890,391	0.0027	0.0051
223	hide decimal representation P24 596242599987116128415063	24	78.980

exponent	prime factors	composite factor	digits	bits*
223	18287 196687	3596815169	10	31.744
223	18287 1466449	26816952863	11	34.642
223	18287 2916841	53340271367	11	35.635
223	196687 1466449	288431454463	12	38.069
223	196687 2916841	573704705767	12	39.062
223	1466449 2916841	4277398567609	13	41.960
223	18287 196687 1466449	5274546007764881	16	52.228
223	18287 196687 2916841	10491337954361129	17	53.220
223	18287 1466449 2916841	78220787605865783	17	56.118
223	196687 1466449 2916841	841308692067311383	18	59.545
223	18287 196687 1466449 2916841	15385012051834923260921	23	73.704
223	18287 1469495262398780123809	26872659863486492124095183	26	84.474
223	196687 1469495262398780123809	289030614675428866211620783	27	87.901
223	1466449 1469495262398780123809	2154939858049428713779584241	28	90.800
223	2916841 1469495262398780123809	4286284030670520215111167369	28	91.792
223	18287 196687 1469495262398780123809	5285502850569567676411909258721	31	102.060
223	18287 1466449 1469495262398780123809	39407385184149902888887257015167	32	104.958
223	18287 2916841 1469495262398780123809	78383276068871803173737917676903	32	105.950
223	196687 1466449 1469495262398780123809	423848655860167985427165085609567	33	108.385
223	196687 2916841 1469495262398780123809	843056347140492609549570176306503	33	109.377
223	1466449 2916841 1469495262398780123809	6285616930492753698929556277102681	34	112.276
223	18287 196687 1466449 1469495262398780123809	7750920369714891949506567920542151729	37	122.544
223	18287 196687 2916841 1469495262398780123809	15416971420158188350832989814117020361	38	123.536
223	18287 1466449 2916841 1469495262398780123809	114945076807920986892324795639376727447	39	126.434
223	196687 1466449 2916841 1469495262398780123809	1236299137207828246781357635474495017847	40	129.861
223	18287 196687 1466449 2916841 1469495262398780123809	22608202322119555148890687079922090391368089	44	144.020

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24

Luke_Richards

work-laptop

4C9158138FC3CC0B

2018-01-24

-p95holder- @bopoh13

Lucius_Yorkfield

18287

196687

1466449

2916841

1469495262398780123809

PRP

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

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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