3 361 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
557927	6	19.1	old
59987981488841905677207058789657	32	105.6	old
31846140615773579572850119167803933905969	41	134.5	2019-09-19 15:58:57
170728171867853964724435368681151141378530918169	48	156.9	2019-09-21 16:11:26
13243188878107487176589923385938449544526026570177	50	163.2	2019-09-20 00:53:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	15050 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	7629D6A30C2A1BBC	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	7629D6A30C2A1BBC	2	2254	1	3
Verified (Factored)	2019-09-20	mnd9	F69B8763B5E1C92F	4	467	5	3
Verified (Factored)	2019-09-20	mnd9	F69B8763B5E1C92F	3	1575	5	3
Verified (Factored)	2019-09-20	mnd9	F69B8763B5E1C92F	4	32	5	3
Verified (Factored)	2019-09-20	ANONYMOUS	F69B8763B5E1C92F	4	2747	5	3
Verified (Factored)	2019-09-21	marssystems	F69B8763B5E1C92F	4	3009	5	3
Verified	2019-09-22	Fan Ming	F69B8763B5E1C92F	5	2436	5	3
Verified	2019-09-23	fre_games	F69B8763B5E1C92F	5	1336	5	3
Verified	2020-04-17	Oliver Kruse	F69B8763B5E1C92F	5	901	5	3

History

Date	User	Type	Result
2025-04-27	masser	NF-PP1	Start=124/71, B1=3100000000, B2=3096900000000
2022-04-23	mikr	NF-PM1	B1=80000000000, B2=268799861365815780
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=193000000000
2020-04-17	Oliver Kruse	C-PRP	M3361/557927/59987981488841905677207058789657/31846140615773579572850119167803933905969/170728171867853964724435368681151141378530918169/13243188878107487176589923385938449544526026570177 : F69B8763B5E1C92F PRP: Verified PRP without proof (small exponent)
2019-09-23	fre_games	C-PRP	M3361/557927/59987981488841905677207058789657/31846140615773579572850119167803933905969/13243188878107487176589923385938449544526026570177/170728171867853964724435368681151141378530918169 : F69B8763B5E1C92F PRP: Verified PRP without proof (small exponent)
2019-09-22	Fan Ming	C-PRP	M3361/557927/59987981488841905677207058789657/31846140615773579572850119167803933905969/170728171867853964724435368681151141378530918169/13243188878107487176589923385938449544526026570177 : F69B8763B5E1C92F PRP: Verified PRP without proof (small exponent)
2019-09-21	Ryan Propper	F-ECM	Factor: 170728171867853964724435368681151141378530918169 / (ECM curve 59, B1=43000000)
2019-09-21	marssystems	C-PRP	M3361/557927/59987981488841905677207058789657/31846140615773579572850119167803933905969/13243188878107487176589923385938449544526026570177 : F69B8763B5E1C92F PRP: Verified PRP without proof (small exponent)
2019-09-20	ANONYMOUS	C-PRP	M3361/557927/59987981488841905677207058789657/31846140615773579572850119167803933905969/13243188878107487176589923385938449544526026570177 : F69B8763B5E1C92F PRP: Verified PRP without proof (small exponent)
2019-09-20	mnd9	C-PRP	M3361/557927/59987981488841905677207058789657/31846140615773579572850119167803933905969/13243188878107487176589923385938449544526026570177 : F69B8763B5E1C92F PRP: Verified PRP without proof (small exponent)
2019-09-20	mnd9	C-PRP	M3361/557927/59987981488841905677207058789657/31846140615773579572850119167803933905969 : F69B8763B5E1C92F PRP: Verified PRP without proof (small exponent)
2019-09-20	mnd9	C-PRP	M3361/557927/59987981488841905677207058789657/31846140615773579572850119167803933905969/13243188878107487176589923385938449544526026570177 : F69B8763B5E1C92F PRP: Verified PRP without proof (small exponent)
2019-09-20	Ryan Propper	F-ECM	Factor: 13243188878107487176589923385938449544526026570177 / (ECM curve 59, B1=43000000)
2019-09-19	Ryan Propper	F-ECM	Factor: 31846140615773579572850119167803933905969 / (ECM curve 59, B1=43000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3361/557927/59987981488841905677207058789657 : 7629D6A30C2A1BBC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3361/557927/59987981488841905677207058789657 : 7629D6A30C2A1BBC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3361/557927/59987981488841905677207058789657 : 7629D6A30C2A1BBC PRP without proof (not generated)