12 553 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
803393	6	19.6	old
591023138465063	15	49.1	2008-08-29 02:24:31
3460043943186873554702023042633	31	101.4	2008-10-16 23:57:26
2696079161025759029677230740132297603063	40	131.0	2023-05-18 17:23:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1480 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	8CF1D5815085ECC6	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	8CF1D5815085ECC6	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	8CF1D5815085ECC6	3	8826	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	541C9506C0D0B446	3	11473	5	3
Verified	No proof (small exponent)	2023-05-18	Denial140	541C9506C0D0B446	4	10620	5	3

History

Date	User	Type	Result
2025-03-13	masser	NF-PP1	Start=199/41, B1=430000000, B2=429570000000
2025-02-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-18	Denial140	C-PRP	M12553/803393/591023138465063/3460043943186873554702023042633/2696079161025759029677230740132297603063 : 541C9506C0D0B446
2023-05-18	Denial140	F-ECM	Factor: 2696079161025759029677230740132297603063 / ECM curve 10, B1=3000000, B2=22972799850, Montgomery Sigma=3648961418304840
2023-05-13	Anton Repko	NF-PM1	B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12553/803393/591023138465063/3460043943186873554702023042633 : 541C9506C0D0B446
2017-12-07	ATH	C-PRP	M12553/803393/591023138465063/3460043943186873554702023042633 : 8CF1D5815085ECC6
2017-10-02	kkmrkkblmbrbk	C-PRP	M12553/803393/591023138465063/3460043943186873554702023042633 : 8CF1D5815085ECC6
2017-09-21	Oliver Kruse	C-PRP	M12553/known_factors : 8CF1D5815085ECC6
2008-10-16	-anonymous-	F-ECM	Factor: 3460043943186873554702023042633
2008-08-29	-anonymous-	F	Factor: 591023138465063