M15 161 Mersenne number exponent details

is 2 ¹⁵¹⁶¹ - 1

has 4564 decimal digits

takes 0.000 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,959.8917	79.1045%	400000000	400000000	0.1382	7.8902%	1,960.0299	80.7532%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.4347%	0.0002	68.6383%
Difference	+23	+1,959.8915	+10.9227%	+399999500	+399990000	+0.1382	+6.4554%	+1,960.0297	+12.1148%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15161	11006887	8	23.392	363 3 × 11²	-	121	121	7.950e-11	4.182e-8	8.510e-8
15161	107915999	9	26.685	3559 3559	2008-08-26	1	3559	1.044e-9	6.734e-8	1.252e-7
15161	66862099064513	14	45.926	2205068896 2⁵ × 43 × 1123 × 1427	2008-08-26	1123	1427	0.0005	3.938e-7	7.898e-7
15161	482502957615703	15	48.778	15912636291 3² × 1768070699	2008-08-29	9	1768070699	0.0039	0.0333	0.0622
15161	838198274841211441	18	59.540	27643238402520 2³ × 3 × 5 × 13 × 1619 × 10945043	2008-08-29	1619	10945043	8.1571	0.0002	0.0004
15161	535765780861631379161191	24	78.826	17669209843072072395 3² × 5 × 11 × 31 × 1151463658720891	2008-08-29	31	1151463658720891	4,470,380	21,680	40,492

exponent	prime factors	composite factor	digits	bits*
15161	11006887 107915999	1187819206485113	16	50.077
15161	11006887 66862099064513	735943568985900301031	21	69.318
15161	11006887 482502957615703	5310855531641832346561	22	72.169
15161	107915999 66862099064513	7215490215783885843487	22	72.612
15161	107915999 482502957615703	52069788691553247332297	23	75.463
15161	11006887 838198274841211441	9225953694772157274194167	25	82.932
15161	107915999 838198274841211441	90455004189565899025744559	26	86.225
15161	66862099064513 482502957615703	32261160551021651245258847639	29	94.704
15161	11006887 107915999 66862099064513	79420085454738847900161094969	29	96.003
15161	11006887 107915999 482502957615703	573126280241804447869644529439	30	98.855
15161	11006887 535765780861631379161191	5897113408410739226081384122417	31	102.218
15161	66862099064513 838198274841211441	56043696088136973952905732693233	32	105.466
15161	107915999 535765780861631379161191	57817699471698031051927708794809	32	105.511
15161	482502957615703 838198274841211441	404433146679264418159289444858023	33	108.318
15161	11006887 107915999 838198274841211441	995628009699078429629780451777833	33	109.617
15161	11006887 66862099064513 482502957615703	355094948673953049809973421712689793	36	118.096
15161	107915999 66862099064513 482502957615703	3481495369762891964761702556551476361	37	121.389
15161	66862099064513 535765780861631379161191	35822424715346560395708514763734914983	38	124.752
15161	482502957615703 535765780861631379161191	258508573855023746863111862185469782273	39	127.603
15161	11006887 66862099064513 838198274841211441	616866629904465712821576721406621295671	39	128.858
15161	11006887 107915999 535765780861631379161191	636392884684939925911059422873368849583	39	128.903
15161	11006887 482502957615703 838198274841211441	4451549944553088693800046919844990204401	40	131.710
15161	107915999 66862099064513 838198274841211441	6048011451003693592964801096417199734767	40	132.152
15161	107915999 482502957615703 838198274841211441	43644807052606352270813461572008965209977	41	135.003
15161	838198274841211441 535765780861631379161191	449077953237173959394253018059336852386231	42	138.366
15161	11006887 107915999 66862099064513 482502957615703	38320426126003368649340041967573209988698207	44	144.781
15161	11006887 66862099064513 535765780861631379161191	394293380907826756114238906942261907172487921	45	148.144
15161	11006887 482502957615703 535765780861631379161191	2845374660953400764038876735435038935393514151	46	150.995
15161	107915999 66862099064513 535765780861631379161191	3865812749758914696316719683534702321570513017	46	151.438
15161	66862099064513 482502957615703 838198274841211441	27041249118241694365863194040462414726402637799	47	154.244
15161	107915999 482502957615703 535765780861631379161191	27897210997630168811455832856495294838303285727	47	154.289
15161	11006887 107915999 66862099064513 838198274841211441	66569778615903691960387560645740222337010340329	47	155.544
15161	11006887 107915999 482502957615703 838198274841211441	480393459364841174927037169601945043053148111599	48	158.395
15161	11006887 838198274841211441 535765780861631379161191	4942950285472857970395131419188080029150924972897	49	161.758
15161	107915999 838198274841211441 535765780861631379161191	48462695952464911764816249302638377702775652209769	50	165.051
15161	66862099064513 482502957615703 535765780861631379161191	17284425874120573035221471758899172509016983090778 049	53	173.530
15161	11006887 107915999 66862099064513 535765780861631379161191	42550564099755651304997449767342229032164299310148 079	53	174.829
15161	11006887 66862099064513 482502957615703 838198274841211441	29763997338333596857359283426244322664064975075552 1713	54	177.636
15161	11006887 107915999 482502957615703 535765780861631379161191	30706144906607253589861865774233092631688753772580 1849	54	177.681
15161	107915999 66862099064513 482502957615703 838198274841211441	29181834128029215709447980822073479071520523343142 46201	55	180.929
15161	66862099064513 838198274841211441 535765780861631379161191	30026294597032661750430328966933613452658561716861 920503	56	184.292
15161	482502957615703 838198274841211441 535765780861631379161191	21668144063694280077311272834072419871361684160982 6585393	57	187.144
15161	11006887 107915999 838198274841211441 535765780861631379161191	53342341806413865526030303183796942523777119022422 7679103	57	188.443
15161	11006887 66862099064513 482502957615703 535765780861631379161191	19024772245632137177392975962389443620025641396110 4727423463	60	196.922
15161	107915999 66862099064513 482502957615703 535765780861631379161191	18652660853471698855483873111118913415839042382074 20845105951	61	200.215
15161	11006887 107915999 66862099064513 482502957615703 838198274841211441	32120115069996111001251875728672988983709131861883 130424586287	62	204.321
15161	11006887 66862099064513 838198274841211441 535765780861631379161191	33049603165824904319620883231186501977509263840002 5153579504161	63	207.684
15161	11006887 482502957615703 838198274841211441 535765780861631379161191	23849881320880374335731644391080487534063259368962 59315016601591	64	210.535
15161	107915999 66862099064513 838198274841211441 535765780861631379161191	32403175777070821284267776303652788624234878935783 09296139827497	64	210.978
15161	107915999 482502957615703 838198274841211441 535765780861631379161191	23383394131094878651288432418504864287654476365549 204179444402607	65	213.829
15161	11006887 107915999 66862099064513 482502957615703 535765780861631379161191	20530773026348654700034032165642432353092434968770 163803525705684537	68	223.607
15161	66862099064513 482502957615703 838198274841211441 535765780861631379161191	14487775949308662382440230686753428549530662143395 107828153462410458609	71	233.070
15161	11006887 107915999 66862099064513 838198274841211441 535765780861631379161191	35665809421935572087313029151558393162183877390484 476073660617458971839	71	234.370
15161	11006887 107915999 482502957615703 838198274841211441 535765780861631379161191	25737837687742451559344418003761975016454831639977 0783343072262277754409	72	237.221
15161	11006887 66862099064513 482502957615703 838198274841211441 535765780861631379161191	15946531275535817496467040342302738490725790124752 7748217300579410665527440183	78	256.462
15161	107915999 66862099064513 482502957615703 838198274841211441 535765780861631379161191	15634628148578176603547575523514523085977223863359 64312987901221333588838385391	79	259.755
15161	11006887 107915999 66862099064513 482502957615703 838198274841211441 535765780861631379161191	17208858531841920054129196291129019846624258763770 303229090461110380801648569261187817	86	283.147

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 11006887 skipped known factor: 107915999 skipped known factor: 66862099064513 skipped known factor: 838198274841211441	-	-	0.138	-	-	7.890%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-08-26	ANONYMOUS	Manual testing	?	?	107915999	26.685	9	4.54257e-10	0.000	2.03858e-8
2008-08-26	ANONYMOUS	Manual testing	?	?	66862099064513	45.926	14	0.000	7.57840e-6	0.000
2008-08-29	ANONYMOUS	Manual testing	?	?	482502957615703	48.778	15	0.001	7.57840e-6	0.003

ECM factoring results:

Total ECM effort:	51.002 GHz-days
Estimated T-Level:	38.667

Digits	B1	Complete	FacMiss
20	11000	873.435	0.000%
25	50000	208.304	0.000%
30	250000	38.720	0.000%
35	1000000	5.846	0.289%
40	3000000	0.733	48.028%
45	11000000	0.080	92.313%
50	44000000	0.008	99.244%

ECM Summary

B1	B2	factor	curves	GHz-days
		838198274841211441	1	0.00000e+0
		535765780861631379161191	1	0.00000e+0
50000	5000000		148	0.037
250000	25000000		571	0.710
1000000	100000000		1,421	7.066
3000000	300000000		2,895	43.19

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29	ANONYMOUS	Manual testing			838198274841211441	59.540		1		1	-
2008-08-29	ANONYMOUS	Manual testing			535765780861631379161191	78.826		1		1	-
2009-04-07	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.012
2009-06-08	unconnected	dual5430	250000	25000000						30	0.037
2009-06-11	Rob_Dee	twopc	50000	5000000						80	0.020
2009-07-04	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-06	Rob_Dee	twopc	250000	25000000						10	0.012
2010-04-06	James Hintz	NEW_OMFG	250000	25000000						100	0.124
2011-04-07	James Hintz	17_051310	250000	25000000						11	0.014
2013-11-13	BloodIce	URM2	250000	25000000						420	0.522
2013-11-13	BloodIce	URM2	1000000	100000000						40	0.199
2017-08-30	James Hintz	11_04_2016	1000000	100000000						1381	6.868
2019-04-12	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-16	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-20	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-24	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-26	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-28	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-11	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-19	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-23	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-27	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-05	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-09	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-07-04	Niels_Mache_Nextcloud		3000000	300000000						3	0.045
2019-07-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-31	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-09	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-05	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-19	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-03	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-09	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-11	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2021-10-21	nordi	sweet16	3000000	300000000						2000	29.84
2022-01-07	nordi	sweet16_ccx3	3000000	300000000						700	10.44

Lucas-Lehmer results:
No L-L results for M15161

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

PRP

11006887

107915999

66862099064513

482502957615703

838198274841211441

535765780861631379161191

8D99E4737C812381

2017-09-21

Oliver Kruse

Manual testing

11006887

107915999

66862099064513

482502957615703

838198274841211441

535765780861631379161191

8D99E4737C812381

2017-10-02

kkmrkkblmbrbk

Manual testing

11006887

107915999

66862099064513

482502957615703

838198274841211441

535765780861631379161191

8D99E4737C8123__

2017-12-07

ATH

Manual testing

11006887

107915999

66862099064513

482502957615703

838198274841211441

535765780861631379161191

8D99E4737C8123__

2020-04-17

Oliver Kruse

Manual testing

11006887

107915999

66862099064513

482502957615703

838198274841211441

535765780861631379161191

085BE0EE8655A7__

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 = 400000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.7

ECM T-Level=38.67 ~= 112-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

Last modified: 2023-03-23T17:39:31+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