M48 481 Mersenne number exponent details

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M48481

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is 2 ⁴⁸⁴⁸¹ - 1

has 14595 decimal digits

takes 0.000 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁶⁷	612.8982	76.1194%	730000000	562856158764900	43,849.0452	30.4067%	44,461.9434	83.3807%
Target	2⁴⁴	0.0000	63.6364%	500	50000	0.0000	2.0220%	0.0001	64.3716%
Difference	+23	+612.8981	+12.4830%	+729999500	+562856158714900	+43,849.0452	+28.3848%	+44,461.9433	+19.0091%

Known prime factors (2 factors, 216.3 bits, 0.44622540% 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
48481	65563127118054923775553727	26	85.761	676173419670127717823 17 × 245881 × 1409531 × 114765029	2014-04-23	1409531	114765029	162,429,498	0.0108	0.0167
48481	2025463906698304265926720913824203940519	40	130.573	20889254622411916688256439778719539 3 × 13 × 9066721 × 36084221 × 101156207 × 16184460023	2023-05-05	101156207	16184460023	2.848e+12	1.3976	2.3549

exponent	prime factors	composite factor	digits	bits*
48481	65563127118054923775553727 2025463906698304265926720913824203940519	13279574758789306038699895205501303776962118825247 4313914596764313	66	216.335

1 Composite Factors:

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-04-29	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.001	-	-	2.105%
2001-08-18	Alex Kruppa	v4_computers	1000000	100000000		-		-	-	0.009	-	-	5.025%
2002-04-28	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.000	-	-	0.721%
2002-06-09	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.000	-	-	1.148%
2002-07-20	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.001	-	-	1.704%
2003-02-02	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.001	-	-	2.386%
2003-03-27	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.002	-	-	3.185%
2003-04-27	ANONYMOUS	v4_computers	1048576	104857600		-		-	-	0.010	-	-	5.097%
2016-09-30	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 65563127118054923775553727	-	-	0.291	-	-	11.109%
2023-05-05	JacobZ	MServer	730000000	562856158764900			2025463906698304265926720913824203940519	40	130.573	43,849	9.56153e-5	87,698	30.407%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-05-19	ANONYMOUS	v4_computers	?	?	65563127118054923775553727	85.761	26	804,626	9.70703e-5	1,633,740
2003-05-26	ANONYMOUS	v4_computers	?	?	65563127118054923775553727	85.761	26	804,626	9.70703e-5	1,633,740
2003-08-25	ANONYMOUS	v4_computers	?	?	65563127118054923775553727	85.761	26	804,626	9.70703e-5	1,633,740
1999-10-29	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.012	-	-
2000-03-28	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.050	-	-
2000-11-05	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.198	-	-
2002-11-09	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.396	-	-

ECM factoring results:

Total ECM effort:	188.423 GHz-days
Estimated T-Level:	34.810

Digits	B1	Complete	FacMiss
20	11000	263.399	0.000%
25	50000	50.316	0.000%
30	250000	7.769	0.042%
35	1000000	0.962	38.212%
40	3000000	0.099	90.616%
45	11000000	0.009	99.151%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	0.289
250000	25000000	584	3.004
1000000	100000000	697	14.34
1000000	10000000000	250	170.8

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-22	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.031
2010-05-04	James Hintz	13_122109	50000	5000000						11	0.011
2010-05-04	James Hintz	13_122109	50000	5000000						11	0.011
2010-05-05	James Hintz	13_122109	50000	5000000						11	0.011
2010-05-06	James Hintz	13_122109	50000	5000000						11	0.011
2010-05-07	James Hintz	13_122109	50000	5000000						11	0.011
2010-05-07	James Hintz	13_122109	50000	5000000						11	0.011
2010-05-08	James Hintz	13_122109	50000	5000000						11	0.011
2010-05-09	James Hintz	13_122109	50000	5000000						11	0.011
2010-05-09	James Hintz	13_122109	50000	5000000						11	0.011
2010-06-25	James Hintz	newestmember	50000	5000000						152	0.156
2011-01-25	James Hintz	NEW_OMFG	250000	25000000						4	0.021
2011-02-09	James Hintz	17_051310	250000	25000000						11	0.057
2011-02-20	James Hintz	13_052010	250000	25000000						11	0.057
2016-09-09	TJAOI	Manual testing	250000	25000000						18	0.093
2016-12-11	kkmrkkblmbrbk	x116xl	250000	25000000						540	2.778
2018-10-01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-02	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-10-04	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-06	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-08	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-10-09	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-10-11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-12	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-14	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-15	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-17	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-19	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-21	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-23	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-24	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-26	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-27	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-29	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-30	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-31	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-11-02	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-04	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-05	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-11-07	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-09	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-11	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-12	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-11-12	Ducho_YYZ	Pantalaimon	1000000	100000000						3	0.062
2018-11-14	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-15	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-11-17	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-11-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-11-20	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-11-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-11-23	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-11-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-11-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-11-28	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-12-01	Ducho_YYZ	Pantalaimon	1000000	100000000						3	0.062
2018-12-02	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-12-04	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-12-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-12-08	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-12-10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-12-12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-12-14	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-12-16	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-12-18	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-12-21	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-12-22	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-12-24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-12-26	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-12-29	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-12-31	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-01-03	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-01-05	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-01-08	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-01-10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-01-12	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-01-14	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-01-15	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-01-19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-01-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-01-24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-01-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-01-29	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-02-01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-02-04	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-02-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-02-09	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-02-12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-02-14	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-02-17	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-02-20	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-02-23	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-02-25	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-02-28	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-03-03	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-03-05	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-03-08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-03-09	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-03-12	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-03-14	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-03-18	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-03-21	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-03-24	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-03-27	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-03-30	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-04-02	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-04-05	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-04-07	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-04-10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-04-14	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-04-19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-04-23	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-04-26	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-04-29	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-05-03	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-05-06	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-05-10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2019-05-13	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-05-15	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-05-20	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-05-25	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-05-30	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-06-04	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-06-10	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-06-15	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-06-20	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-06-25	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2019-07-01	Niels_Mache_Nextcloud		1000000	100000000						3	0.062
2019-07-20	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-07-24	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-07-27	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-07-30	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-08-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-08-06	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-08-09	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-08-13	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-08-16	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-08-19	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-08-22	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-08-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-08-29	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-09-01	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-09-05	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-09-08	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-09-11	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-09-15	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-09-18	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-09-21	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-09-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-09-28	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-01	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-05	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-11	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-15	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-18	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-21	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-25	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-28	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-10-31	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-11-03	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-11-07	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-11-10	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.062
2019-12-11	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-12	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-13	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-14	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-15	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-17	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-20	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-23	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-30	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2019-12-31	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-02	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-07	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-08	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-12	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-13	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-14	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-17	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-20	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-28	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-30	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-01-31	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-05	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-07	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-12	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-14	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-15	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-16	JoaoLima	PC	1000000	100000000						3	0.062
2020-02-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-02-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-02	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-06	Lin_yq		1000000	100000000						3	0.062
2020-03-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-08	Naegi Makoto	4210	1000000	100000000						3	0.062
2020-03-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-12	Naegi Makoto	4210	1000000	100000000						3	0.062
2020-03-13	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-15	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-19	French	Evan_s	1000000	100000000						3	0.062
2020-03-20	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-03-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2020-04-14	Alex Kruppa	lily	1000000	100000000						3	0.062
2020-04-28	Alex Kruppa	lily	1000000	100000000						3	0.062
2020-05-12	Alex Kruppa	lily	1000000	100000000						3	0.062
2020-06-08	Meng-Hsuan Wu	MacBook_Pro_2016	1000000	100000000						3	0.062
2020-11-10	Klaus Nordmann	no1	1000000	100000000						7	0.144
2022-01-31	Oliver Kruse	Manual testing	1000000	10000000000						250	170.8

Lucas-Lehmer results:
No L-L results for M48481

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Doppelherz

65563127118054923775553727

7990D20BE32DB0__

no

2017-09-21

Oliver Kruse

Manual testing

65563127118054923775553727

7990D20BE32DB0__

no

2017-09-21

Oliver Kruse

Manual testing

65563127118054923775553727

7990D20BE32DB0__

no

2017-11-06

kkmrkkblmbrbk

c4.xlarge

65563127118054923775553727

7990D20BE32DB0__

no

2020-04-17

Oliver Kruse

Manual testing

65563127118054923775553727

7C54C292FC89C7__

no

2023-05-05

JacobZ

MServer

65563127118054923775553727

2025463906698304265926720913824203940519

7C54C292FC89C7AD

no

2023-05-05

ryu

msipser

65563127118054923775553727

2025463906698304265926720913824203940519

6691A7817BB5A50D

no

2023-05-05

ryu

msipser

65563127118054923775553727

2025463906698304265926720913824203940519

6691A7817BB5A50D

no

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 = 730000000, B2 = 562856158764900 (P-1 stage 2)

B1 = 730000000 (P-1 stage 1)

B1 = 100000000, B2 = 2000000000 (P-1 stage 2)

B1 = 100000000 (P-1 stage 1)

B1 = 1048576, B2 = 104857600 (P-1 stage 2)

B1 = 1000000, B2 = 100000000 (P-1 stage 2)

B1 = 262144, B2 = 26214400 (P-1 stage 2)

B1 = 1048576 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 100000, B2 = 10000000 (P-1 stage 2)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 262144 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 16384 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

TF factor-bounds graph:

2⁵⁷

2⁵⁶

2⁵⁴

2⁵³

2

this exponent TF target: 44

TF double-checked to: 67.9

ECM T-Level=34.81 ~= 99-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

Last modified: 2023-09-25T11:53:03+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