12 511 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
30515054639	11	34.8	old
2321579154895054536856394113	28	90.9	2008-10-16 23:57:25
1710076092510715520995992735353	31	100.4	2008-10-16 23:57:25

P-1 factors

Date	Factors	B1	B2
2023-05-21	No new factors discovered	100000000000	120417199046794656

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1446 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	5748D3FE74205AA6	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5748D3FE74205AA6	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	5748D3FE74205AA6	3	11182	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F5629DB5595EB8A0	3	11323	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	F5629DB5595EB8A0	3	8351	5	3

History

Date	User	Type	Result
2025-03-13	masser	NF-PP1	Start=157/53, B1=430000000, B2=429570000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12511/1710076092510715520995992735353/2321579154895054536856394113/30515054639 : F5629DB5595EB8A0
2023-05-21	-anonymous-	F-PM1	Factor: 2321579154895054536856394113 / B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12511/30515054639/2321579154895054536856394113/1710076092510715520995992735353 : F5629DB5595EB8A0
2017-12-07	ATH	C-PRP	M12511/30515054639/2321579154895054536856394113/1710076092510715520995992735353 : 5748D3FE74205AA6
2017-10-02	kkmrkkblmbrbk	C-PRP	M12511/30515054639/2321579154895054536856394113/1710076092510715520995992735353 : 5748D3FE74205AA6
2017-09-21	Oliver Kruse	C-PRP	M12511/30515054639/2321579154895054536856394113/1710076092510715520995992735353 : 5748D3FE74205AA6
2008-10-16	-anonymous-	F-ECM	Factor: 1710076092510715520995992735353
2008-10-16	-anonymous-	F-ECM	Factor: 2321579154895054536856394113