M15 537 733 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	2⁶⁷	1.9124	64.1791%	480000	308477400	12.5521	10.0247%	14.4645	67.7700%
Target	2⁶⁹	7.6837	65.2174%	110000	22400000	0.9631	3.1118%	8.6468	66.2998%
Difference	-2	-5.7713	-1.0383%	+370000	+286077400	+11.5890	+6.9129%	+5.8177	+1.4703%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15537733	5189602823	10	32.273	167 167	-	1	167	3.816e-11	7.304e-6	1.212e-5
15537733	53564501065007	14	45.606	1723691 313 × 5507	2008-09-08	313	5507	3.298e-7	0.0004	0.0005
15537733	1972995724465267949192557839452460416639	40	130.536	63490463005937479720901300062643 97 × 1249 × 2687 × 73709 × 243433 × 309079 × 35167151	2023-07-25	309079	35167151	9.463e+9	1.6059	2.6024

exponent	prime factors	composite factor	digits	bits*
15537733	5189602823 53564501065007	277978485939546833714761	24	77.879
15537733	5189602823 1972995724465267949192557839452460416639	10239064181451884714581118734213269352485510571897	50	162.809
15537733	53564501065007 1972995724465267949192557839452460416639	10568253158437410259010638715706976290880622644345 1473	54	176.142
15537733	5189602823 53564501065007 1972995724465267949192557839452460416639	54845036425205450548970771866066018599948148431091 3014144308279	63	208.415

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-07-10	nordi	sweet16_30.8b14	480000	480000		-	skipped known factor: 5189602823 skipped known factor: 53564501065007	-	-	0.349	-	-	2.685%
2023-07-25	nordi	sweet16_30.8b14	480000	308477400			1972995724465267949192557839452460416639	40	130.536	12.55	15.59	25.10	10.025%

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	?	?	53564501065007	45.606	14	2.81424e-8	23.46	8.47076e-8

PRP results:

date

userid

compid

cofactors

res64

PRP

2023-08-25

Ryan Propper

boulder

5189602823

53564501065007

1972995724465267949192557839452460416639

23C5FD81AECB965A

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 = 480000, B2 = 308477400 (P-1 stage 2)

B1 = 480000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

this exponent TF target: 69

TF double-checked to: 67.9

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