7 213 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
4565381799020249	16	52.0	old
37401545574121003922519	23	75.0	old
2243289574423674030855977	25	80.9	old
3579486438452718860420378523606318987838559427479	49	161.3	2021-03-24 04:53:10

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	2652 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	B7B38DEFAED5588D	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B7B38DEFAED5588D	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	B7B38DEFAED5588D	3	2947	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	9524ED4508CE15E8	3	3333	5	3
Verified	No proof (small exponent)	2021-03-24	mnd9	9524ED4508CE15E8	4	34	5	3
Verified	No proof (small exponent)	2021-03-25	rbanov	9524ED4508CE15E8	4	6576	5	3

History

Date	User	Type	Result
2025-04-02	masser	NF-PP1	Start=128/53, B1=830000000, B2=829170000000
2025-03-22	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-14	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2023-08-26	-anonymous-	NF-PM1	B1=33000000000, B2=136594664543487150
2021-12-08	onlinegame	NF-PM1	B1=1000000000, B2=10000000000
2021-03-25	rbanov	C-PRP	M7213/4565381799020249/37401545574121003922519/2243289574423674030855977/3579486438452718860420378523606318987838559427479 : 9524ED4508CE15E8
2021-03-24	mnd9	C-PRP	M7213/4565381799020249/37401545574121003922519/2243289574423674030855977/3579486438452718860420378523606318987838559427479 : 9524ED4508CE15E8
2021-03-24	Ryan Propper	F-ECM	Factor: 3579486438452718860420378523606318987838559427479
2020-04-17	Oliver Kruse	C-PRP	M7213/4565381799020249/37401545574121003922519/2243289574423674030855977 : 9524ED4508CE15E8
2017-12-07	ATH	C-PRP	M7213/4565381799020249/37401545574121003922519/2243289574423674030855977 : B7B38DEFAED5588D
2017-10-02	kkmrkkblmbrbk	C-PRP	M7213/4565381799020249/37401545574121003922519/2243289574423674030855977 : B7B38DEFAED5588D
2017-09-21	Oliver Kruse	C-PRP	M7213/known_factors : B7B38DEFAED5588D
2009-10-25	Carsten Kossendey	F-PM1	Factor: 4565381799020249