2 579 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
19868617	8	24.2	old
961835326577	12	39.8	old
29591195938820133231287179633	29	94.6	old
1380070842173844993873584205272335320325626193	46	150.0	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	7860 / 40830

Estimated T-Level: 51.0 ⓘ

TF below 2^164 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	4E1D632C2201C97A	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4E1D632C2201C97A	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	4E1D632C2201C97A	4	853	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	40B5E55B7CC139FA	4	1021	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	40B5E55B7CC139FA	4	655	5	3

History

Date	User	Type	Result
2025-04-15	masser	NF-PP1	Start=176/61, B1=4300000000, B2=4295700000000
2024-02-03	Wentao Huang	C-PRP	M2579/19868617/961835326577/29591195938820133231287179633/1380070842173844993873584205272335320325626193 : 40B5E55B7CC139FA
2022-03-17	mikr	NF-PM1	B1=60000000000, B2=314766415184771550
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2579/19868617/961835326577/29591195938820133231287179633/1380070842173844993873584205272335320325626193 : 40B5E55B7CC139FA
2017-12-07	ATH	C-PRP	M2579/19868617/961835326577/29591195938820133231287179633/1380070842173844993873584205272335320325626193 : 4E1D632C2201C97A
2017-10-02	kkmrkkblmbrbk	C-PRP	M2579/19868617/961835326577/29591195938820133231287179633/1380070842173844993873584205272335320325626193 : 4E1D632C2201C97A
2017-09-21	Oliver Kruse	C-PRP	M2579/known_factors : 4E1D632C2201C97A
2009-10-25	Carsten Kossendey	F	Factor: 19110337720828334009