1 993 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
11959	5	13.5	old
162389641	9	27.3	old
4169656201719372099729206249327	31	101.7	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	40830 / 40830
60	260000000	49818 / 105362

Estimated T-Level: 57.4 ⓘ

TF below 2^186 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	38C882F12A5A918F	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	38C882F12A5A918F	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	38C882F12A5A918F	3	1285	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	EF5C5B3DBD4CB266	3	549	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	EF5C5B3DBD4CB266	3	174	5	3
Verified	No proof (small exponent)	2024-07-11	Ducho_YYZ	EF5C5B3DBD4CB266	3	1775	5	3
Verified	No proof (small exponent)	2024-07-12	Ducho_YYZ	EF5C5B3DBD4CB266	3	1071	5	3

History

Date	User	Type	Result
2024-07-12	Ducho_YYZ	C-PRP	M1993/11959/162389641/4169656201719372099729206249327 : EF5C5B3DBD4CB266
2024-07-11	Ducho_YYZ	C-PRP	M1993/11959/162389641/4169656201719372099729206249327 : EF5C5B3DBD4CB266
2022-07-21	mikr	NF-PM1	B1=300000000000, B2=983223146706230430
2021-07-26	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1993/11959/162389641/4169656201719372099729206249327 : EF5C5B3DBD4CB266
2020-04-17	Oliver Kruse	C-PRP	M1993/11959/162389641/4169656201719372099729206249327 : EF5C5B3DBD4CB266
2017-12-07	ATH	C-PRP	M1993/11959/162389641/4169656201719372099729206249327 : 38C882F12A5A918F
2017-10-02	kkmrkkblmbrbk	C-PRP	M1993/11959/162389641/4169656201719372099729206249327 : 38C882F12A5A918F
2017-09-21	Oliver Kruse	C-PRP	M1993/known_factors : 38C882F12A5A918F
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12