M279 779 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	106.2050	71.6418%	30000000	35636537516580	19,238.0719	25.1150%	19,344.2769	78.7640%
Target	2⁴⁴	0.0000	56.8182%	5000	650000	0.0004	10.8378%	0.0004	61.4982%
Difference	+23	+106.2050	+14.8236%	+29995000	+35636536866580	+19,238.0715	+14.2772%	+19,344.2764	+17.2658%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
279779	2238233	7	21.094	4 2²	-	4	4	9.994e-13	3.963e-8	8.066e-8
279779	227614682498351049007	21	67.625	406775852544957 3 × 7 × 19² × 29 × 13963 × 132511	2014-09-05	13963	132511	114.46	0.0002	0.0003
279779	56948583044296441357049	23	75.592	101774227237027156 2² × 7 × 239 × 37657 × 403864949	2014-09-05	37657	403864949	28,510	0.2184	0.4072
279779	953237357252049664376471	24	79.657	1703554157481529465 5 × 7 × 31 × 53 × 29624452786393	2015-01-16	53	29624452786393	513,857	15,992	29,869
279779	126484004366290095257504372139509665007	39	126.572	226042705789730636069012277796957 13² × 17 × 19 × 11833 × 70999 × 72467 × 149351 × 455413349	2023-03-19	149351	455413349	5.084e+11	0.2472	0.4592

exponent	prime factors	composite factor	digits	bits*
279779	2238233 227614682498351049007	509454693652331763472084631	27	88.719
279779	2238233 56948583044296441357049	127464197872984756827911854417	30	96.686
279779	2238233 953237357252049664376471	2133567309834326876446341815743	31	100.751
279779	227614682498351049007 56948583044296441357049	12962333648358512512803741691980427783900343	44	143.217
279779	227614682498351049007 953237357252049664376471	216970818416492515144476544090098601418714297	45	147.282
279779	2238233 126484004366290095257504372139509665007	283100672544774578778489783366931136037612631	45	147.666
279779	56948583044296441357049 953237357252049664376471	54285516800394024926729387247202230055665594079	47	155.249
279779	2238233 227614682498351049007 56948583044296441357049	29012722928766418537070257178466428820042616413919	50	164.311
279779	2238233 227614682498351049007 953237357252049664376471	48563124581680129164936716870841366294921315711720 1	51	168.376
279779	2238233 56948583044296441357049 953237357252049664376471	12150363512469631959382829660646718898418256963222 2407	54	176.343
279779	227614682498351049007 126484004366290095257504372139509665007	28789616494953167810333203018595411681108379280853 609998049	59	194.197
279779	56948583044296441357049 126484004366290095257504372139509665007	72030848264288251738659929780876881862698472939521 26468084343	61	202.164
279779	953237357252049664376471 126484004366290095257504372139509665007	12056927805677908114805721315817419727521036717250 0250742850297	63	206.229
279779	2238233 227614682498351049007 126484004366290095257504372139509665007	64437869696348513647625515991919864073242251082922 818066763207417	65	215.291
279779	227614682498351049007 56948583044296441357049 953237357252049664376471	12356180670780587701761067331497287432068725868743 360690867498029553	68	222.874
279779	2238233 56948583044296441357049 126484004366290095257504372139509665007	16122182160312268655377603061324140592219319118284 349881039823285919	68	223.258
279779	2238233 953237357252049664376471 126484004366290095257504372139509665007	26986213693285881313525954037865970808988592574760 6753720922048805201	69	227.323
279779	2238233 227614682498351049007 56948583044296441357049 953237357252049664376471	27656011331303247153475779016579168140941480507375 058429202432717180499849	74	243.968
279779	227614682498351049007 56948583044296441357049 126484004366290095257504372139509665007	16395278657762871169203122453403888769066634304605 73402571543393332088239802397401	82	269.789
279779	227614682498351049007 953237357252049664376471 126484004366290095257504372139509665007	27443337943949174697379759088591925670831388836013 131274771270605930530515111505079	83	273.855
279779	56948583044296441357049 953237357252049664376471 126484004366290095257504372139509665007	68662495440073521703277208712910181541038583356202 61601911602363369067380376932693553	85	281.821
279779	2238233 227614682498351049007 56948583044296441357049 126484004366290095257504372139509665007	36696453736000564425659012378249546171254320099500 60588557913283887859857237639342032433	88	290.883
279779	2238233 227614682498351049007 953237357252049664376471 126484004366290095257504372139509665007	61424584616299193130440390324136371570001951928596 178852525125322123709106429569347485407	89	294.948
279779	2238233 56948583044296441357049 953237357252049664376471 126484004366290095257504372139509665007	15368266315632207870249125668912309436114341154110 344986031411492570637789983203193489211849	92	302.915
279779	227614682498351049007 56948583044296441357049 953237357252049664376471 126484004366290095257504372139509665007	15628592099136811329110533865069658617819436375099 93700858398407365107994690303694884579440043171615 951871	106	349.447
279779	2238233 227614682498351049007 56948583044296441357049 953237357252049664376471 126484004366290095257504372139509665007	34980430579827282631589057544416457217137850536149 05731053395642512027762279662509912596893826148135 486804083943	112	370.541

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-01-03	Lisander Viaene	Manual testing	100000	100000		-	skipped known factor: 2238233	-	-	0.001	-	-	0.629%
2023-03-19	Naegi Makoto	5950X	2000000	58727418750			126484004366290095257504372139509665007	39	126.572	31.72	0.004	63.44	13.593%
2023-03-26	Naegi Makoto	5950X	30000000	35636537516580		-	skipped known factor: 2238233 skipped known factor: 227614682498351049007 skipped known factor: 56948583044296441357049 skipped known factor: 953237357252049664376471 skipped known factor: 126484004366290095257504372139509665007	-	-	19,238	-	-	25.115%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2023-04-08	LordJulius	Manual testing	2¹	2⁵⁹	2238233	21.094	7	9.99434e-13	0.004	2.06442e-12

ECM factoring results:

Total ECM effort:	73.548 GHz-days
Estimated T-Level:	30.517

Digits	B1	Complete	FacMiss
20	11000	71.140	0.000%
25	50000	11.089	0.002%
30	250000	1.215	29.679%
35	1000000	0.103	90.185%
40	3000000	0.007	99.293%

ECM Summary

B1	B2	factor	curves	GHz-days
		227614682498351049007	1	0.00000e+0
		56948583044296441357049	1	0.00000e+0
50000	5000000		267	1.952
50000	5000000	953237357252049664376471	14	0.102
250000	25000000		200	7.309
250000	36500000		7	0.295
250000	36750000		15	0.634
250000	38500000		7	0.302
250000	205989630		7	0.874
250000	264848430		200	30.70
250000	551335785		107	31.38

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-09-05	TJAOI	Manual testing	50000	5000000						50	0.365
2014-09-05	TJAOI	Manual testing			56948583044296441357049	75.592		1		1	-
2014-09-05	TJAOI	Manual testing			227614682498351049007	67.625		1		1	-
2015-01-16	TJAOI	Manual testing	50000	5000000						36	0.263
2015-01-16	TJAOI	Manual testing	50000	5000000	953237357252049664376471	79.657	14	2		14	0.102
2015-10-16	TJAOI	Manual testing	50000	5000000						90	0.658
2016-06-24	TJAOI	Manual testing	50000	5000000						91	0.665
2017-10-13	TJAOI	Manual testing	250000	25000000						44	1.608
2020-03-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-04-21	Team_Inspector	SpudBoy4	250000	25000000						3	0.110
2020-04-27	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.110
2020-05-02	Greg Hogan	azure	250000	25000000						3	0.110
2020-05-07	Greg Hogan	azure2	250000	25000000						3	0.110
2020-05-24	nordi	sweet16	250000	25000000						3	0.110
2020-06-10	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.110
2020-06-22	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.110
2020-07-01	kracker	O0	250000	25000000						3	0.110
2020-07-17	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.110
2020-07-27	argusdusty	Argus-PC	250000	25000000						3	0.110
2020-08-15	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.110
2020-09-28	nordi	sweet16	250000	25000000						7	0.256
2020-10-30	Ahmed Azhad	c5.large.az	250000	25000000						7	0.256
2020-11-19	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2021-01-12	Kublenz	Medion_E4272	250000	25000000						7	0.256
2021-02-05	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.256
2021-03-19	TJAOI	Manual testing	250000	25000000						34	1.243
2021-10-03	Dylan Delgado	colab	250000	38500000						7	0.302
2021-11-29	volki	home	250000	25000000						7	0.256
2022-02-06	Barney_Jr	CANinetHEWIE8G2	250000	25000000						7	0.256
2022-03-29	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.256
2022-05-20	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.256
2022-06-11	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.256
2022-07-03	Luminescence	TyrantECM309b1	250000	551335785						7	2.053
2022-09-03	Corey	tab	250000	25000000						7	0.256
2022-09-28	debrouxl	dl380g9-1	250000	36750000						7	0.296
2022-10-22	Nesowa	309b3ECMtrial	250000	205989630						7	0.874
2022-12-12	debrouxl	z400	250000	36500000						7	0.295
2023-01-24	debrouxl	o9020	250000	36750000						8	0.338
2023-03-22	Naegi Makoto	5950X	250000	264848430						200	30.70
2023-06-28	nordi	sweet16_30.9b3	250000	551335785						100	29.32

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