4 133 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
11173615097	11	33.4	old
31410692543	11	34.9	old
47094380243554351073	20	65.4	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	16550 / 16550
55	110000000	18545 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 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	BD6D76B607C41E73	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BD6D76B607C41E73	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	BD6D76B607C41E73	3	3899	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	41FBAFEABEFE2DCC	3	3952	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	41FBAFEABEFE2DCC	3	1419	5	3

History

Date	User	Type	Result
2025-05-12	masser	NF-PP1	Start=185/29, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M4133/11173615097/31410692543/47094380243554351073 : 41FBAFEABEFE2DCC
2023-05-17	-anonymous-	NF-PM1	B1=78000000000, B2=782159992887753480
2021-12-15	Oliver Kruse	NF-PM1	B1=1000000000, B2=1004648912737470
2021-12-14	ANONYMOUS	NF-PM1	B1=101101101, B2=239432550687330
2021-12-14	ANONYMOUS	NF-PM1	B1=1000000, B2=95982622816080
2020-04-17	Oliver Kruse	C-PRP	M4133/11173615097/31410692543/47094380243554351073 : 41FBAFEABEFE2DCC
2017-12-07	ATH	C-PRP	M4133/11173615097/31410692543/47094380243554351073 : BD6D76B607C41E73
2017-10-02	kkmrkkblmbrbk	C-PRP	M4133/11173615097/31410692543/47094380243554351073 : BD6D76B607C41E73
2017-09-21	Oliver Kruse	C-PRP	M4133/known_factors : BD6D76B607C41E73