3 373 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
2042978879	10	30.9	old
12217989468474155307522423060767	32	103.3	old
1351150939247361560363230615906721273881463	43	140.0	2019-05-04 02:55:19

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	14773 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	6B1817115256D26C	2	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	6B1817115256D26C	2	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	6B1817115256D26C	2	413	1	3
Verified	No proof (small exponent)	2019-05-04	ATH	70448CF4550682EB	3	2994	5	3
Verified	No proof (small exponent)	2019-05-04	kkmrkkblmbrbk	70448CF4550682EB	3	1277	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	70448CF4550682EB	3	3188	5	3

History

Date	User	Type	Result
2025-04-30	masser	NF-PP1	Start=195/13, B1=3100000000, B2=3096900000000
2022-04-25	mikr	NF-PM1	B1=80000000000, B2=268799861365815780
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=193000000000
2020-04-17	Oliver Kruse	C-PRP	M3373/2042978879/12217989468474155307522423060767/1351150939247361560363230615906721273881463 : 70448CF4550682EB
2019-05-04	kkmrkkblmbrbk	C-PRP	M3373/2042978879/12217989468474155307522423060767/1351150939247361560363230615906721273881463 : 70448CF4550682EB
2019-05-04	ATH	C-PRP	M3373/2042978879/12217989468474155307522423060767/1351150939247361560363230615906721273881463 : 70448CF4550682EB
2019-05-04	James Hintz	F-ECM	Factor: 1351150939247361560363230615906721273881463
2017-12-07	ATH	C-PRP	M3373/2042978879/12217989468474155307522423060767 : 6B1817115256D26C
2017-10-02	kkmrkkblmbrbk	C-PRP	M3373/2042978879/12217989468474155307522423060767 : 6B1817115256D26C
2017-09-21	Oliver Kruse	C-PRP	M3373/known_factors : 6B1817115256D26C