M702347 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	42.3066	70.1493%	1500000	4299875580	6.8254	11.2678%	49.1320	73.5128%	3.3635%
Target	2⁴⁴	0.0000	54.5455%	12000	450000	0.0010	16.5063%	0.0010	62.0483%	7.5029%
Difference	+23	+42.3066	+15.6038%	+1488000	+4299425580	+6.8244	-5.2385%	+49.1310	+11.4645%	-4.1393%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
702347	5618777	7	22.422	4 2²	-	4	4	7.962e-13	1.158e-7	2.358e-7
702347	4586325911	10	32.095	3265 5 × 653	2008-07-16	5	653	1.390e-9	1.167e-6	1.934e-6
702347	385316547584168530620737747634361740901057	42	138.145	274306395260582397746938299469038624 2⁵ × 3² × 11 × 29 × 37 × 401 × 857 × 22283 × 211691 × 585391 × 85036181	2022-12-21	585391	85036181	2.141e+11	0.1502	0.2506

exponent	prime factors	composite factor	digits	bits*
702347	5618777 4586325911	25769542543230847	17	54.517
702347	5618777 385316547584168530620737747634361740901057	2165007755285331703975596979439756159454818347289	49	160.567
702347	4586325911 385316547584168530620737747634361740901057	17671872661223365853766864459112522062415862063879 27	52	170.240
702347	5618777 4586325911 385316547584168530620737747634361740901057	99294311655810639921730621384978879376294810199697 37305279	58	192.662

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17T18:50:28	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 5618777 skipped known factor: 4586325911	-	-	0.037	-	-	4.511%
2022-12-21T20:24:01	USAFSS	6917th_Scty_Sq	1500000	4299875580			385316547584168530620737747634361740901057	42	138.145	6.825	0.028	13.65	11.268%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-16T09:24:00	J Feitsma	Manual testing	?	?	4586325911	32.095	10	5.75722e-10	0.029	1.20379e-9

ECM factoring results:

Total ECM effort:	11.303 GHz-days
Estimated T-Level:	25.658

Digits	B1	Complete	FacMiss
20	11000	14.808	0.000%
25	50000	1.620	19.795%
30	250000	0.132	87.678%
35	1000000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	6.340
250000	25000000		44	4.964

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-10-02T10:47:02	TJAOI	Manual testing	50000	5000000						100	2.256
2016-05-06T13:26:10	TJAOI	Manual testing	50000	5000000						90	2.031
2017-04-21T14:28:33	TJAOI	Manual testing	50000	5000000						91	2.053
2019-02-22T12:19:44	TJAOI	Manual testing	250000	25000000						44	4.964

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27T15:57:08

Oliver Kruse

GTX-3

5618777

4586325911

73FEE8302B6632__

2017-09-28T09:45:33

Oliver Kruse

Manual testing

5618777

4586325911

73FEE8302B6632__

2017-11-08T22:42:44

kkmrkkblmbrbk

c4.large

5618777

4586325911

73FEE8302B6632__

2020-04-20T15:38:03

Oliver Kruse

AddPrpType5

5618777

4586325911

CCBED18F23FFDD__

2022-12-25T21:16:14

LordJulius

WhiteBox

5618777

4586325911

385316547584168530620737747634361740901057

CCBED18F23FFDD17

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 = 1500000, B2 = 4299875580 (P-1 stage 2)

B1 = 1500000 (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

10¹⁰

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