M1924751 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	Prob over default TF
Actual	2⁶⁷	15.4378	68.6567%	5000000	530000000	2.6433	10.8683%	18.0811	72.0632%	8.9053%
PrimeNet	2⁵⁷	0.0100	63.1579%	9000	170000	0.0014	3.0942%	0.0114	64.2979%	1.1400%
GPU72	2⁶¹	0.1596	65.5738%	11000	170000	0.0015	1.8138%	0.1611	66.1982%	0.6244%
Difference	+6	+15.2782	+3.0829%	+4989000	+529830000	+2.6418	+9.0545%	+17.9200	+5.8650%	+5.8650%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1924751	265615639	9	27.985	69 3 × 23	-	3	23	9.428e-12	3.217e-7	4.803e-7
1924751	4106464775643002298257	22	71.798	1066752212531128 2³ × 19 × 43 × 263 × 620577121	2021-05-07	263	620577121	275.71	2.6597	4.9675

exponent	prime factors	composite factor	digits	bits*
1924751	265615639 4106464775643002298257	1090741265413407691330001641223	31	99.783

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17T19:19:03	alpertron	Manual testing	500000	15000000	12	-		-	-	0.101	-	-	5.099%
2021-05-07T22:34:00	happy5214	Manual testing	5000000	530000000		-		-	-	2.643	-	-	10.868%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-05-07T23:39:13	happy5214	Manual testing	2500000	2500000	2	7	4106464775643002298257	P+1	22	71.798	0.299

ECM factoring results:

Total ECM effort:	1.389 GHz-days
Estimated T-Level:	1.000

Digits	B1	Curves	Complete	FacMiss
20	11000	20 / 100	0.200	81.791%
25	50000	20 / 280	0.071	93.094%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		20	1.389

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-12-19T14:54:07	alpertron		50000	5000000						3	0.208
2018-09-28T16:55:02	alpertron	Manual testing	50000	5000000						3	0.208
2020-11-01T15:54:36	Albrecht Heeffer	Ryzen5-factoring	50000	5000000						7	0.486
2021-01-24T22:06:33	Kublenz	Medion_E4272	50000	5000000						7	0.486

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-04T23:32:26

Oliver Kruse

GTX-1

265615639

33235ACE3F4754__

2017-11-10T04:20:56

ATH

ec2-1xf

265615639

33235ACE3F4754__

2021-05-08T15:12:02

ThomRuley

265615639

4106464775643002298257

6C0E8125CAFB10__

2021-05-09T12:17:17

marssystems

system11

265615639

4106464775643002298257

6C0E8125CAFB10A8

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 = 5000000, B2 = 530000000 (stage 2)

B1 = 5000000 (stage 1)

B1 = 500000, B2 = 15000000 (stage 2)

B1 = 500000 (stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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