6 737 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
741071	6	19.5	old
1106754361	10	30.0	old
3256192554080755777	19	61.5	old
36067596245124467524062896741232696076894587498043890233	56	184.6	2021-03-28 21:01:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2939 / 9201

Estimated T-Level: 41.6 ⓘ

TF below 2^133 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	5DA6BB44EE944E03	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	5DA6BB44EE944E03	3	3542	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	1B98843F32A6BBC6	3	1998	5	3
Verified	2021-03-29	mnd9	1B98843F32A6BBC6	4	116	5	3
Verified	2021-03-29	Oliver Kruse	1B98843F32A6BBC6	4	3552	5	3
Verified	2021-03-30	mnd9	1B98843F32A6BBC6	4	3554	5	3

History

Date	User	Type	Result
2023-08-13	-Anonymous-	NF-PM1	B1=36000000000, B2=144600212653396500
2021-12-18	Oliver Kruse	NF-PM1	B1=1000000000, B2=1080854750315340
2021-03-30	mnd9	C-PRP	M6737/741071/1106754361/3256192554080755777/36067596245124467524062896741232696076894587498043890233 : 1B98843F32A6BBC6 PRP: Verified PRP without proof (small exponent)
2021-03-29	Oliver Kruse	C-PRP	M6737/741071/1106754361/3256192554080755777/36067596245124467524062896741232696076894587498043890233 : 1B98843F32A6BBC6 PRP: Verified PRP without proof (small exponent)
2021-03-29	mnd9	C-PRP	M6737/741071/1106754361/3256192554080755777/36067596245124467524062896741232696076894587498043890233 : 1B98843F32A6BBC6 PRP: Verified PRP without proof (small exponent)
2021-03-28	Ryan Propper	F-ECM	Factor: 36067596245124467524062896741232696076894587498043890233 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=14512238408709661763)
2020-04-17	Oliver Kruse	C-PRP	M6737/741071/1106754361/3256192554080755777 : 1B98843F32A6BBC6 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M6737/741071/1106754361/3256192554080755777 : 5DA6BB44EE944E03 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6737/741071/1106754361/3256192554080755777 : 5DA6BB44EE944E03 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6737/741071/1106754361/3256192554080755777 : 5DA6BB44EE944E03 PRP without proof (not generated)