1 741 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1002817	7	19.9	old
4230631	7	22.0	old
25269109534063262433544878967583	32	104.3	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	105362 / 105362
65	800000000	67372 / 194238

Estimated T-Level: 61.7 ⓘ

TF below 2^200 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	666F3A7C7BA51236	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	666F3A7C7BA51236	3	0	1	3
Verified	2017-12-07	ATH	666F3A7C7BA51236	3	1489	1	3
Verified	2020-04-17	Oliver Kruse	EC91E768696EFD0F	3	1592	5	3
Verified	2020-08-12	_p95holder_	EC91E768696EFD0F	3	834	5	3

History

Date	User	Type	Result
2022-09-09	mikr	NF-PM1	B1=400000000000, B2=1310778031989756330
2021-07-24	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1741/1002817/4230631/25269109534063262433544878967583 : EC91E768696EFD0F PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M1741/1002817/4230631/25269109534063262433544878967583 : EC91E768696EFD0F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M1741/1002817/4230631/25269109534063262433544878967583 : 666F3A7C7BA51236 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M1741/1002817/4230631/25269109534063262433544878967583 : 666F3A7C7BA51236 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1741/known_factors : 666F3A7C7BA51236 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12