M1902611 Mersenne number exponent details

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M1902611

<<<

>>>

is 2 ^1902611 - 1

has 572743 decimal digits

takes 0.103 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	15.6174	68.6567%	2000000	262000000	1.2716	9.2339%	16.8891	71.5509%	2.8942%
PrimeNet	2⁵⁷	0.0101	63.1579%	9000	160000	0.0014	3.0388%	0.0114	64.2774%	1.1196%
GPU72	2⁶¹	0.1615	65.5738%	10000	160000	0.0014	1.7278%	0.1629	66.1686%	0.5948%
Difference	+6	+15.4560	+3.0829%	+1990000	+261840000	+1.2702	+7.5061%	+16.7262	+5.3823%	+5.3823%

Known prime factors (4 factors, 158.5 bits, 0.00833259% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1902611	3805223	7	21.860	1 1	-	1	1	1.469e-13	7.866e-8	1.601e-7
1902611	15220889	8	23.860	4 2²	2008-07-15	4	4	5.879e-13	3.146e-7	6.404e-7
1902611	23267273453209	14	44.403	6114564 2² × 3² × 31 × 5479	2008-09-30	31	5479	1.846e-6	2.579e-5	4.386e-5
1902611	393345644989814623417	21	68.414	103369959752628 2² × 3 × 239 × 1277 × 28224373	2020-10-19	1277	28224373	59.811	0.1211	0.2259

11 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
1902611	3805223 15220889	57918876903247	14	45.719
1902611	3805223 23267273453209	88537164091440310607	20	66.263
1902611	15220889 23267273453209	354148586563940882801	21	68.263
1902611	3805223 15220889 23267273453209	1347614347010598817874669623	28	90.122
1902611	3805223 393345644989814623417	1496767895265077370762706991	28	90.274
1902611	15220889 393345644989814623417	5987070401023374513606957713	28	92.274
1902611	23267273453209 393345644989814623417	9152080683606885482624427505195153	34	112.818
1902611	3805223 15220889 393345644989814623417	22782137992593368236791008449534999	35	114.133
1902611	3805223 23267273453209 393345644989814623417	34825707915116643596848571904601215684119	41	134.677
1902611	15220889 23267273453209 393345644989814623417	139302804204224523566737839745122347151017	42	136.677
1902611	3805223 15220889 23267273453209 393345644989814623417	530078234522411854240192862768453693193034361791	48	158.537

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-16T12:40:50	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 3805223 skipped known factor: 15220889 skipped known factor: 23267273453209	-	-	0.101	-	-	5.092%
2021-06-30T09:06:10	Dylan Delgado	laptop-i78750	2000000	262000000		-	skipped known factor: 3805223 skipped known factor: 15220889 skipped known factor: 23267273453209 skipped known factor: 393345644989814623417	-	-	1.272	-	-	9.234%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30T13:30:00	markr	Manual testing	?	?	23267273453209	44.403	14	6.14291e-7	0.220	1.30895e-6
2008-07-15T07:48:00	J Feitsma	Manual testing	?	?	15220889	23.860	8	5.08536e-16	0.220	1.08362e-15

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.835 GHz-days
Estimated T-Level:	24.607

Digits	B1	Curves	Complete	FacMiss
20	11000	258 / 100	2.580	7.480%
25	50000	258 / 280	0.921	39.729%

New Calculation Method

Total ECM effort:	19.835 GHz-days
Estimated T-Level:	24.607

Digits	B1	Complete	FacMiss
20	11000	8.808	0.015%
25	50000	0.797	45.052%
30	250000	0.049	95.188%
35	1000000	0.002	99.773%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		35	2.428
50000	5000000	393345644989814623417	1	0.069
50000	5600000		7	0.509
50000	6600000		215	16.83

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-11-17T13:52:23	Richard B. Woods	Puttputt	50000	5000000						1	0.069
2018-04-27T07:10:55	alpertron		50000	5000000						3	0.208
2018-09-28T16:58:10	alpertron	Manual testing	50000	5000000						3	0.208
2020-10-19T14:18:27	nordi	sweet16	50000	5000000	393345644989814623417	68.414	1	2	642664849381032	1	0.069
2020-10-28T21:13:59	Tsurumaki Kokoro	Baidu_HK_1	50000	5000000						7	0.486
2021-01-17T14:49:04	Kublenz	Medion_E4272	50000	5000000						7	0.486
2021-04-16T19:27:09	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.486
2021-07-27T06:35:10	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						7	0.486
2021-10-15T18:36:09	Eric	miniPCWindows	50000	5600000						7	0.509
2021-12-17T10:36:46	TJAOI	Manual testing	50000	6600000						215	16.83

Lucas-Lehmer results:
No L-L results for M1902611

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-04T19:02:45

Oliver Kruse

GTX-0

3805223

15220889

23267273453209

B09344764B035F__

2017-11-09T07:58:10

kkmrkkblmbrbk

c4.large

3805223

15220889

23267273453209

B09344764B035F__

2020-10-20T08:22:02

tottenhoff

3-of-4-Ryzen-5-3600

3805223

15220889

23267273453209

393345644989814623417

71C12ED7458A437E

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 = 2000000, B2 = 262000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-12-17T10:36:46+00:00

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