M22483 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	1,321.6171	77.6119%	500000000	10000000000	0.6681	13.4423%	1,322.2852	80.6214%	3.0095%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	3.8104%	0.0000	63.9289%	1.4289%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.6148%	0.0001	66.4596%	0.5505%
Difference	+23	+1,321.6170	+11.7028%	+499999500	+9999990000	+0.6681	+11.8276%	+1,322.2851	+14.1618%	+14.1618%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
22483	5111555017	10	32.251	113676 2² × 3 × 9473	-	4	9473	4.085e-8	3.413e-7	6.331e-7
22483	2001643635665143	16	50.830	44514602937 3² × 7 × 23 × 599 × 51287	2008-08-26	599	51287	0.0096	2.206e-6	3.426e-6
22483	792894923901859969	18	59.460	17633210067648 2⁶ × 3² × 7² × 43 × 14529289	2008-08-29	64	14529289	6.3346	0.0005	0.0010
22483	4420399871249609845454912713937	31	101.802	98305383428581813936194296 2³ × 19 × 23 × 293 × 95970610418324808007	2014-10-16	293	95970610418324808007	6.338e+12	3.433e+9	6.412e+9
22483	30211765432323921119564243208294721	35	114.541	671880207986565874651164061920 2⁵ × 3 × 5 × 53 × 7465569641 × 3537624964211773	2021-11-25	7465569641	3537624964211773	5.933e+12	126,544	236,339

exponent	prime factors	composite factor	digits	bits*
22483	5111555017 2001643635665143	10231511568130281833672431	26	83.081
22483	5111555017 792894923901859969	4052926026224385540173414473	28	91.711
22483	2001643635665143 792894923901859969	1587093078179355879979002160360567	34	110.290
22483	5111555017 4420399871249609845454912713937	22595117139032097264827653730221758171929	41	134.053
22483	5111555017 2001643635665143 792894923901859969	8112513586213659774135118347444894777814639	43	142.541
22483	5111555017 30211765432323921119564243208294721	154429101168022512967820864225167057142165257	45	146.792
22483	2001643635665143 4420399871249609845454912713937	8848065269381799074950738954767988848281197991	46	152.632
22483	792894923901859969 4420399871249609845454912713937	3504912619530251003044792042772861012939928687953	49	161.262
22483	2001643635665143 30211765432323921119564243208294721	60473187999819344262170071256705426914045610610103	50	165.371
22483	792894923901859969 30211765432323921119564243208294721	23954755453403318983385887511042769441942620623923 649	53	174.0006
22483	5111555017 2001643635665143 4420399871249609845454912713937	45227372418451991550050408732101649468431809417666 370847	56	184.883
22483	5111555017 792894923901859969 4420399871249609845454912713937	17915553684506466697882889041957296302136794404528 384610201	59	193.513
22483	5111555017 2001643635665143 30211765432323921119564243208294721	30911202751446076425694559103946011983361666868090 0420536751	60	197.622
22483	5111555017 792894923901859969 30211765432323921119564243208294721	12244605041885184487397747295406831104253609267634 4598270897033	63	206.252
22483	2001643635665143 792894923901859969 4420399871249609845454912713937	70155860384451717046891833552331671109969299883249 26616446122279	64	212.092
22483	4420399871249609845454912713937 30211765432323921119564243208294721	13354808402726807424761840440025178511453222036783 7116519860226577	66	216.343
22483	2001643635665143 792894923901859969 30211765432323921119564243208294721	47948883797219630437512076283870991042994469402018 541256482562666807	68	224.831
22483	5111555017 2001643635665143 792894923901859969 4420399871249609845454912713937	35860554012009572306530437605074988551015753353420 030072452011045417923743	74	244.343
22483	5111555017 4420399871249609845454912713937 30211765432323921119564243208294721	68263837892031968972434235531364188826539309062936 7398385905121298421086809	75	248.594
22483	5111555017 2001643635665143 792894923901859969 30211765432323921119564243208294721	24509335753322801261375075852690748044658044277514 0864486594926972534220220719	78	257.082
22483	2001643635665143 4420399871249609845454912713937 30211765432323921119564243208294721	26731567244845488051060196178590362642988783800813 3827650855856810879278081105511	81	267.173
22483	792894923901859969 4420399871249609845454912713937 30211765432323921119564243208294721	10588959792203992055176505828596733285524010956516 1931889995352824183500396066196113	84	275.803
22483	5111555017 2001643635665143 4420399871249609845454912713937 30211765432323921119564243208294721	13663987666266282183721029794567779615561869771177 59753536145579225483594056813007658398687	91	299.424
22483	5111555017 792894923901859969 4420399871249609845454912713937 30211765432323921119564243208294721	54126050550651593077065609188693374095431151678743 3161369718037835140290378133651805511048921	93	308.054
22483	2001643635665143 792894923901859969 4420399871249609845454912713937 30211765432323921119564243208294721	21195323976379215801900561580907318779112091138514 1970908413221023213356603341766492188848636189159	99	326.633
22483	5111555017 2001643635665143 792894923901859969 4420399871249609845454912713937 30211765432323921119564243208294721	10834106460840157002673049368400425671738872426443 34860654167647430336106407221685478790400557766303 447460703	109	358.884

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-11-22T21:56:44	kkmrkkblmbrbk	Manual testing	500000000	10000000000	12	-	skipped known factor: 5111555017 skipped known factor: 2001643635665143 skipped known factor: 792894923901859969	-	-	0.668	-	-	13.442%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26T19:59:00	ANONYMOUS	Manual testing	?	?	2001643635665143	50.830	16	0.003	2.10277e-5	0.006

ECM factoring results:

Old Calculation Method

Total ECM effort:	22.982 GHz-days
Estimated T-Level:	35.287

Digits	B1	Curves	Complete	FacMiss
20	11000	2259 / 100	22.590	0.000%
25	50000	2259 / 280	8.068	0.031%
30	250000	2229 / 640	3.483	3.064%
35	1000000	1754 / 1580	1.110	32.940%
40	3000000	270 / 4700	0.057	94.417%

New Calculation Method

Total ECM effort:	22.982 GHz-days
Estimated T-Level:	35.287

Digits	B1	Complete	FacMiss
20	11000	306.551	0.000%
25	50000	61.067	0.000%
30	250000	9.719	0.006%
35	1000000	1.250	28.644%
40	3000000	0.134	87.432%
45	11000000	0.013	98.747%
50	44000000	0.001	99.895%

ECM Summary

B1	B2	factor	curves	GHz-days
		792894923901859969	1	0.00000e+0
50000	5000000		30	0.014
250000	25000000		377	0.890
250000	25000000	4420399871249609845454912713937	98	0.231
1000000	100000000		1,484	14.02
3000000	321000000		55	1.594
3000000	321000000	30211765432323921119564243208294721	215	6.232

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29T02:24:00	ANONYMOUS	Manual testing			792894923901859969	59.460		1		1	-
2009-04-02T14:41:00	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.014
2009-06-14T07:54:00	unconnected	dual5430	250000	25000000						30	0.071
2011-03-28T09:54:00	James Hintz	17_051310	250000	25000000						11	0.026
2014-10-16T23:25:00	James Hintz	08_04_2014	250000	25000000	4420399871249609845454912713937	101.802	98	2		98	0.231
2014-10-17T04:32:00	James Hintz	08_04_2014	250000	25000000						336	0.794
2014-10-17T05:15:00	James Hintz	08_04_2014	1000000	100000000						11	0.104
2018-04-09T13:12:58	XL Chen	chxlong_s_pc	1000000	100000000						3	0.028
2018-04-11T17:01:01	Yxinity	MacBook	1000000	100000000						3	0.028
2018-04-13T17:05:00	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-15T06:41:43	Yxinity	MacBook	1000000	100000000						3	0.028
2018-04-17T17:54:36	Yxinity	MacBook	1000000	100000000						3	0.028
2018-04-20T06:54:03	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-20T06:54:17	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-20T06:54:26	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-25T18:13:10	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-25T18:13:32	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-25T18:13:44	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-26T17:28:14	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-26T17:28:45	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-26T17:29:04	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-27T17:06:02	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-27T17:06:35	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-27T17:06:52	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-27T18:01:51	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-27T18:02:27	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-04-27T18:02:51	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-01T12:19:44	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-01T12:20:11	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-01T12:20:28	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-01T12:26:24	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-01T12:26:46	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-01T12:27:00	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-09T07:39:12	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-09T07:39:24	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-09T07:39:32	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-22T17:41:05	kkmrkkblmbrbk	c5.large	1000000	100000000						1323	12.50
2018-05-27T10:16:43	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-27T10:17:07	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-27T10:17:22	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-30T17:08:29	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-30T17:09:06	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-30T17:09:27	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-08-19T14:45:38	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-08-19T14:45:54	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-08-19T14:46:02	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-09-05T15:53:54	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-09-05T15:54:06	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-09-05T15:54:13	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-10T13:02:13	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-10T13:02:28	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-10T13:02:35	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-01-12T07:52:58	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-01-12T07:53:17	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-01-12T07:53:24	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-03-07T17:36:45	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-03-07T17:37:11	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-03-07T17:37:27	Yxinity	Manual testing	1000000	100000000						3	0.028
2021-11-25T16:08:19	nordi	sweet16	3000000	321000000	30211765432323921119564243208294721	114.541	215	2	140156613081726	215	6.232
2021-11-27T01:07:49	nordi	sweet16	3000000	321000000						55	1.594

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