3 769 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
55514920151	11	35.7	old
179284809631	12	37.4	old
285870043535850462497164075644217	33	107.8	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	16040 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 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	90DA4CC71FB97C6D	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	90DA4CC71FB97C6D	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	90DA4CC71FB97C6D	3	1898	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	500BF7694B7A0376	3	415	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	500BF7694B7A0376	3	844	5	3

History

Date	User	Type	Result
2025-05-07	masser	NF-PP1	Start=140/61, B1=2600000000, B2=2597400000000
2024-06-21	masser	NF-PM1	B1=77000000000, B2=72633021233572800
2024-02-03	Wentao Huang	C-PRP	M3769/55514920151/179284809631/285870043535850462497164075644217 : 500BF7694B7A0376
2022-12-18	Kevin_9611	NF-PM1	B1=1000000000, B2=3226259836800
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3769/55514920151/179284809631/285870043535850462497164075644217 : 500BF7694B7A0376
2017-12-07	ATH	C-PRP	M3769/55514920151/179284809631/285870043535850462497164075644217 : 90DA4CC71FB97C6D
2017-10-02	kkmrkkblmbrbk	C-PRP	M3769/55514920151/179284809631/285870043535850462497164075644217 : 90DA4CC71FB97C6D
2017-09-21	Oliver Kruse	C-PRP	M3769/known_factors : 90DA4CC71FB97C6D