6 991 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
15150796780703	14	43.8	old
102346503435601	15	46.5	old
3263565159955914039377	22	71.5	old
152998361330856023375188758505898921942830471	45	146.8	old

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	2492 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	D52F522D894F3169	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D52F522D894F3169	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D52F522D894F3169	4	2586	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5607D88B2B032467	4	1350	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	5607D88B2B032467	4	5050	5	3

History

Date	User	Type	Result
2025-03-24	masser	NF-PP1	Start=135/31, B1=1000000000, B2=999000000000
2025-03-16	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-07	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6991/15150796780703/102346503435601/3263565159955914039377/152998361330856023375188758505898921942830471 : 5607D88B2B032467
2023-08-20	-anonymous-	NF-PM1	B1=35000000000, B2=143589103727719650
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6991/15150796780703/102346503435601/3263565159955914039377/152998361330856023375188758505898921942830471 : 5607D88B2B032467
2017-12-07	ATH	C-PRP	M6991/15150796780703/102346503435601/3263565159955914039377/152998361330856023375188758505898921942830471 : D52F522D894F3169
2017-10-02	kkmrkkblmbrbk	C-PRP	M6991/15150796780703/102346503435601/3263565159955914039377/152998361330856023375188758505898921942830471 : D52F522D894F3169
2017-09-21	Oliver Kruse	C-PRP	M6991/known_factors : D52F522D894F3169
2009-10-25	Carsten Kossendey	F-PM1	Factor: 15150796780703
1999-11-24	-anonymous-	F-PM1	Factor: 15150796780703
1999-11-24	-anonymous-	F-PM1	Factor: 102346503435601
1999-04-23	-anonymous-	F-PM1	Factor: 102346503435601
1999-04-23	-anonymous-	F-PM1	Factor: 15150796780703