M15891329 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	2⁷⁰	15.0365	65.7143%	-	-	-	-	15.0365	65.7143%
Target	2⁶⁹	7.5127	65.2174%	110000	2800000	0.2034	3.1220%	7.7161	66.3033%
Difference	+1	+7.5238	+0.4969%	-110000	-2800000	-0.2034	-3.1220%	+7.3204	-0.5890%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15891329	603870503	9	29.170	19 19	-	1	19	4.519e-12	1.570e-6	1.614e-6
15891329	858131767	9	29.677	27 3³	2008-09-08	27	27	4.527e-12	2.141e-5	4.357e-5
15891329	1144175689	10	30.092	36 2² × 3²	2008-09-08	9	9	9.071e-12	7.136e-6	1.452e-5
15891329	3655005671	10	31.767	115 5 × 23	2008-09-08	5	23	1.845e-11	4.742e-6	8.068e-6
15891329	171626353201	12	37.320	5400 2³ × 3³ × 5²	2008-09-08	25	25	1.347e-9	1.982e-5	4.034e-5
15891329	266951353380870735623	21	67.855	8399277158659 2887 × 2909344357	2023-01-16	2887	2909344357	1.9020	125.68	234.73

exponent	prime factors	composite factor	digits	bits*
15891329	603870503 858131767	518200461778568801	18	58.846
15891329	603870503 1144175689	690933948836801567	18	59.261
15891329	858131767 1144175689	981853505760012463	18	59.768
15891329	603870503 3655005671	2207150113014622513	19	60.937
15891329	858131767 3655005671	3136476474850250657	19	61.444
15891329	1144175689 3655005671	4181968631915332319	19	61.859
15891329	603870503 171626353201	103640092235543530103	21	66.490
15891329	858131767 171626353201	147278025736140236167	21	66.997
15891329	1144175689 171626353201	196370700924311530489	21	67.412
15891329	3655005671 171626353201	627295294242704002871	21	69.088
15891329	603870503 858131767 1144175689	592912370395612123318078889	27	88.938
15891329	603870503 858131767 3655005671	1894025626515487713918670471	28	90.614
15891329	603870503 1144175689 3655005671	2525367501284933580886686457	28	91.029
15891329	858131767 1144175689 3655005671	3588680131644076717295677673	28	91.536
15891329	603870503 858131767 171626353201	88936855482129949692705082001	29	96.167
15891329	603870503 1144175689 171626353201	118582473941626568845092265967	30	96.582
15891329	603870503 266951353380870735623	161204048042637161698641028369	30	97.025
15891329	858131767 1144175689 171626353201	168511936571207986916999944063	30	97.089
15891329	858131767 266951353380870735623	229079436579768028358754835841	30	97.532
15891329	1144175689 266951353380870735623	305439248684040253351382869247	30	97.947
15891329	603870503 3655005671 171626353201	378805124863874670293824214113	30	98.257
15891329	858131767 3655005671 171626353201	538302019279276512841664303057	30	98.764
15891329	1144175689 3655005671 171626353201	717736025496603585707984403119	30	99.179
15891329	3655005671 266951353380870735623	975708710488207561620006718033	30	99.622
15891329	171626353201 266951353380870735623	45815887262830286348957690779223	32	105.176
15891329	603870503 858131767 1144175689 3655005671	2167098076202014824243929676120379519	37	120.705
15891329	603870503 858131767 1144175689 171626353201	101759387898759462377186175472295673689	39	126.258
15891329	603870503 858131767 266951353380870735623	138334314594381118908319547172987098023	39	126.701
15891329	603870503 1144175689 266951353380870735623	184445752738773475863547008997769121241	39	127.116
15891329	858131767 1144175689 266951353380870735623	262107122184387887307549853480458069449	39	127.623
15891329	603870503 858131767 3655005671 171626353201	325064711148092405285781782044175027671	39	127.934
15891329	603870503 1144175689 3655005671 171626353201	433419614737854832093084152627625298857	39	128.349
15891329	603870503 3655005671 266951353380870735623	589201709783995275803876951681966880599	39	128.792
15891329	858131767 1144175689 3655005671 171626353201	615912083798957487502128601856947781273	39	128.856
15891329	858131767 3655005671 266951353380870735623	837286639808536987515737747497529054311	39	129.299
15891329	1144175689 3655005671 266951353380870735623	1116382186086146413191581142790036499737	40	129.714
15891329	603870503 171626353201 266951353380870735623	27666862886796618221179114256567854959169	41	134.345
15891329	858131767 171626353201 266951353380870735623	39316068293525347045747041796614239877041	41	134.852
15891329	1144175689 171626353201 266951353380870735623	52421424376095166973385960279166422909647	41	135.267
15891329	3655005671 171626353201 266951353380870735623	167457327767541364115994244737124473973633	42	136.943
15891329	603870503 858131767 1144175689 266951353380870735623	158278759713368772255517445718820515068576562847	48	156.793
15891329	603870503 858131767 1144175689 3655005671 171626353201	371931139847454608853526612374041790722060490319	48	158.026
15891329	603870503 858131767 3655005671 266951353380870735623	505612704336361054345233273997419861283897888433	48	158.469
15891329	603870503 1144175689 3655005671 266951353380870735623	674150272252080835865645940061934164484541557711	48	158.884
15891329	858131767 1144175689 3655005671 266951353380870735623	958003017993427635772803635586293331513806845279	48	159.391
15891329	603870503 858131767 171626353201 266951353380870735623	23741813936393502963764830140483464731511406821623	50	164.022
15891329	603870503 1144175689 171626353201 266951353380870735623	31655751905969049656087567446918248223159257442441	50	164.437
15891329	858131767 1144175689 171626353201 266951353380870735623	44984489528515418195031736067352895778524661456249	50	164.944
15891329	603870503 3655005671 171626353201 266951353380870735623	10112254075002107062203159491451245887206816844739 9	51	166.113
15891329	858131767 3655005671 171626353201 266951353380870735623	14370045257425843603444853419809907534993919769951 1	51	166.619
15891329	1144175689 3655005671 171626353201 266951353380870735623	19160060337652547212341759089213401888754410560813 7	51	167.035
15891329	603870503 858131767 1144175689 3655005671 266951353380870735623	57850976435120919710822372514172365400678829110347 2905337	57	188.560
15891329	603870503 858131767 1144175689 171626353201 266951353380870735623	27164806318782838428689166559955635052284263911489 796123247	59	194.114
15891329	603870503 858131767 3655005671 171626353201 266951353380870735623	86776464577345086620115761673818790275402684334220 150424033	59	195.789
15891329	603870503 1144175689 3655005671 171626353201 266951353380870735623	11570195273608593524348065869108118872903275948827 0811082911	60	196.204
15891329	858131767 1144175689 3655005671 171626353201 266951353380870735623	16441856433376396971377757935115007202877959763594 5213388079	60	196.711
15891329	603870503 858131767 1144175689 3655005671 171626353201 266951353380870735623	99287521146767908274335632872901407624505366100555 846889101599933737	68	225.881

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	?	?	1144175689	30.092	10	7.01397e-14	18.14	1.46401e-13
2008-09-08	Will Edgington	Manual testing	?	?	171626353201	37.320	12	1.94521e-10	18.14	4.06020e-10
2008-09-08	Will Edgington	Manual testing	?	?	3655005671	31.767	10	4.48115e-13	18.14	9.35342e-13
2008-09-08	Will Edgington	Manual testing	?	?	858131767	29.677	9	2.63024e-14	18.14	5.49005e-14
2023-01-16	LordJulius	Manual testing	2⁶⁷	2⁶⁸	266951353380870735623	67.855	21	0.032	17.68	0.065
2023-01-16	LordJulius	Manual testing	2⁶⁷	2⁶⁸	skipped known factors(?)	-	-	1.881	-	-
2023-01-16	LordJulius	Manual testing	2⁶⁸	2⁶⁹		-	-	3.762	-	-
2023-01-16	LordJulius	Manual testing	2⁶⁹	2⁷⁰		-	-	7.524	-	-

PRP results:

date

userid

compid

cofactors

res64

PRP

2023-01-29

Naegi Makoto

5950X

603870503

858131767

1144175689

3655005671

171626353201

266951353380870735623

18610D43BF44D5D6

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

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