6 113 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
2530783	7	21.3	old
372190698305357447233	21	68.3	old
6855761699251088258180200511	28	92.5	old
82398657073584774963088427412311	32	106.0	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	7601 / 40830

Estimated T-Level: 50.9 ⓘ

TF below 2^164 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	1BB3C4BD6DF8B42A	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1BB3C4BD6DF8B42A	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	1BB3C4BD6DF8B42A	4	381	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E511DF483C64A218	4	149	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	E511DF483C64A218	4	5164	5	3

History

Date	User	Type	Result
2025-03-17	masser	NF-PP1	Start=154/23, B1=1000000000, B2=999000000000
2025-03-08	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-02-28	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6113/2530783/372190698305357447233/6855761699251088258180200511/82398657073584774963088427412311 : E511DF483C64A218
2023-07-28	-anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M6113/2530783/372190698305357447233/6855761699251088258180200511/82398657073584774963088427412311 : E511DF483C64A218
2017-12-07	ATH	C-PRP	M6113/2530783/372190698305357447233/6855761699251088258180200511/82398657073584774963088427412311 : 1BB3C4BD6DF8B42A
2017-10-02	kkmrkkblmbrbk	C-PRP	M6113/2530783/372190698305357447233/6855761699251088258180200511/82398657073584774963088427412311 : 1BB3C4BD6DF8B42A
2017-09-21	Oliver Kruse	C-PRP	M6113/known_factors : 1BB3C4BD6DF8B42A