3 659 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
4105399	7	22.0	old
30392701105099063451611978190567276943114626078117295516857	59	194.3	2020-07-08 03:33:14

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	14268 / 40830

Estimated T-Level: 51.7 ⓘ

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	B194D37474C7053B	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	B194D37474C7053B	1	1276	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	A1751C1530D33916	1	3352	5	3
Verified	No proof (small exponent)	2020-07-08	M Miller	A1751C1530D33916	2	2698	5	3

History

Date	User	Type	Result
2025-05-04	masser	NF-PP1	Start=140/41, B1=2600000000, B2=2597400000000
2024-05-30	masser	NF-PM1	B1=77000000000, B2=37856706565898220
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-07-08	M Miller	C-PRP	M3659/4105399/30392701105099063451611978190567276943114626078117295516857 : A1751C1530D33916
2020-07-08	Ryan Propper	F-ECM	Factor: 30392701105099063451611978190567276943114626078117295516857
2020-04-17	Oliver Kruse	C-PRP	M3659/4105399 : A1751C1530D33916
2017-10-12	kkmrkkblmbrbk	C-PRP	M3659/4105399 : B194D37474C7053B
2017-09-21	Oliver Kruse	C-PRP	M3659/4105399 : B194D37474C7053B
2017-09-21	Oliver Kruse	C-PRP	M3659/4105399 : B194D37474C7053B